Can anyone state the vertex of the graph?

Answers

Answer 1

the graph above is the graph of a Cubic function, namely a polynomial with a degree of "3", and the behaviour is that it comes from the bottom from -infinity goes up up get to a smooth flat or horizontal plateau then it keeps on going right back up, its slope is never negative.

now, Cubic functions do not have a "vertex" as in a U-turn sense or a peak-sense.

Related Questions

James knows that he eventually wants to buy a motocycle, and the model he has in mind cost $5000. he has found a bank that will let him open a saving account with 7% interest that is compounded monthly. if he wants to buy his motocycle in 5 years ( he's still nervious) how much money should he invest in the account now

Answers

He should invest $86.29 in the account now, which has a 7% interest compounded monthly.

Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:

B = P(1 + r/n)^t

where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded monthly, and t is the time in number of months

Based on the given information, P is the unknown and

B = $5000

t = 5 years = 60 months

r = 7% = 0.07

n = 1

Plug in the values and solve for P or the amount that should be invested today.

B = P(1 + r/n)^t

$5000 = P(1 + 0.07/1)^60

$5000 = P(1.07)^60

P = $5000/(1.07)^60

P = $86.29

Learn more about compound interest here: brainly.com/question/24924853

#SPJ4

[tex]a(n)=a(n-1)-5[/tex]a(n)=a(n-1)-5

Answers

The first five terms of the arithmetic sequence with the formula a(n) = a(n - 1) - 5 is; -5, -10, -15. -20, -25

What is the nth term of the arithmetic sequence?

The general formula for an arithmetic sequence is;

aₙ = a + (n - 1)d

where;

a is first term

d is common difference

aₙ is the nth term of the sequence

Now we are given the formula for the nth term of a sequence as;

a(n) = a(n - 1) - 5

Thus;

1) First term is when n = 1;

a(1) = a(1 - 1) - 5

a(1) = -5

2) Second term is when n = 2;

a(2) = -5(2 - 1) - 5

a(2) = -5 - 5

a(2) = -10

3) Third term is when n = 3;

a(3) = -5(3 - 1) - 5

a(3) = -15

4) Fourth term is when n = 4;

a(4) = -5(4 - 1) - 5

a(4) = -20

5) Fifth term is when n = 5;

a(5) = -5(5 - 1) - 5

a(5) = -25

Read more about arithmetic sequence at; https://brainly.com/question/6561461

#SPJ1

Complete question is;

Write the first five terms sequence defined by a(n) = a(n - 1) - 5

x represents the number
of comic books Priya buys
at the store, all at the same
price, and y represents the
amount of money (in
dollars) Priya has after
buying the comic books.

Answers

By using the concept of equation of line in slope intercept form, it can be obtained that

a) x- intercept is 5

This means, Priya has exhausted all her money by buying 5 comics

y- intercept is 20

This means, Priya had $20 before buying any comics

b) Slope = -4

This means Priya's money has been decreasing by $4 after buying one comics

c) Equation of line

y = -4x + 20

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan \theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

x represents the number of comic books Priya buys at the store

y represents the amount of money (in dollars) Priya has after buying the comic books.

a)From the figure, it is clear that x- intercept is 5

This means, Priya has exhausted all her money by buying 5 comics

From the figure, it is clear that y- intercept is 20

This means, Priya had $20 before buying any comics

b) The line passes through (5, 0) and (0, 20)

Slope = [tex]\frac{20 - 0}{0 -5}[/tex] = -4

This means Priya's money has been decreasing by $4 after buying

one comics

c) Equation of line

y - 0 = -4(x - 5)

y = -4x + 20

To learn more about equation of line in slope intercept form, refer to the link-

brainly.com/question/25514153

#SPJ1

Complete Question

The figure has been attached-

Which values of aand b make the following equation true?
(5x²y²){-4xªy³) =−20xªy°
O
a = 11, b = 7
O a = 11, b = 10
O a=28, b = 7
O a= 28, b = 10

Answers

The value a = 2 and b = 5 is makes the expression (5x²y²){-4xªy³) =−20xªyᵇ as true.

Expression:

An expression is set of numbers or variables combined using the operations +, -, * and /.

Given,

Here we have the expression (5x²y²){-4xªy³) =−20xªy°.

Now, we have to the value of a and b which make both equation as equal.

In order to get the value a and b, first, we have to solve the expression in the left hand side,

To solve this type of equation, the first step is to combine the like terms, then we get,

=> (5x²y²){-4xªy³)

=> (5 x -4) (x² xᵃ) (y² y³)

Now, we have to do the multiplication on it, then we get,

=> -20 xᵃ⁺² y²⁺³

=> -20xᵃ⁺²y⁵

Now, we have to equate both LHS and RHS, then we get,

=> -20xᵃ⁺²y⁵ = -20xᵃyᵇ

While we looking into the equation, we have identified that the value of a is 2 and the value of b is 5.

To know more about Expressions here.

https://brainly.com/question/14083225

#SPJ1

Part A: Timothy said that triangle KLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy correct? Explain your answer or show your work by listing the coordinates of the primage and image and showing the scale factor

Part B: Are the two triangles similar? Explain.

Answers

a. Timothy is correct regarding the dilation, considering the vertices of each triangle.

b. The two triangles are similar, as they have congruent angle measures.

What is a dilation?

A dilation occurs when each of the vertices of a polygon is multiplied by a constant, which is called scale factor.

The effects of a dilation are given as follows:

Congruence is lost, as the side lengths will be different due to the multiplication by the scale factor.Similarity is kept, as the side lengths are proportional, hence the angles remain constant.

The vertices of each triangle in this problem are given as follows:

Triangle KLM: K(-1,3), L(8,4) and M(10,-3).Triangle K'L'M': K'(-1.5, 4.5), L'(12, 6) and M'(15, -4.5).

The scale factor is obtained by the division of any of the equivalent factors, hence:

k = 4.5/3 = 1.5.

Confirming that Timothy's statement regarding the scale factor of the dilation is correct.

More can be learned about dilation at brainly.com/question/29223851

#SPJ1

Alyssa misses 2% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 63?

Answers

Answer: 3150

Step-by-step explanation:

We know that 50×2%s is 100%, so 50×63 should result in the total amount of throws she attempts, which is 3150.

The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 45° more than three times the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)

Answers

The measure of each angle of this isosceles triangle is equal to 27°, 27°, and 126°.

What is an isosceles triangle?

An isosceles triangle can be defined as a type of triangle that has two (2) of its sides equal in length and two (2) equal angles. This ultimately implies that, an isosceles triangle comprises two (2) angles that have the same measure or are equal in magnitude.

Let the variable x represent the angles that have the same measure or are equal in magnitude. Therefore, the sum of the measures of the angles of this isosceles triangle is given by this mathematical expression:

x + x + (45° + 3x) = 180°.

5x + 45° = 180°.

5x = 180° - 45°

5x = 135°

x = 135°/5

x = 27°

Therefore, the measure of each angle of the isosceles triangle is given by:

First angle = 27°.

Second angle = 27°.

Third angle = 45° + 3(27) = 126°.

Read more on isosceles triangle here: https://brainly.com/question/132858

#SPJ1

One share of kimcos common stock pays an annual dividend of 1. 43. Today kimco closed at 19. 09 with a net cahnge of +0. 72. The stock yield yesterdays closing price is about 8

Answers

With a net change of +0.72 yesterday's closing price was 19.81 and stock dividend yield for yesterday's closing price is 7.2%.

How to calculate the Dividend Yield?

To calculate dividend yield, all you have to do is divide the annual dividends paid per share by the price per share.

Dividend Yield = Annual Dividends Paid Per Share / Price Per Share

According to the given question:

Net change = today's price - yesterday's price

0.72 = 19.09 - yesterday's price

∴ Yesterday's price = 19.81

Stock dividend yield

= (1.43/19.81) x 100

= 7.2%

Therefore the stock yield of yesterday's closing price is 7.2%

To know more about stock dividend yield visit

https://brainly.com/question/23984194

#SPJ4

solve the equation 8-3(x + 4)= 2x +1

Answers

Answer:

x = -1

Step-by-step explanation:

8 - 3x - 12 = 2x + 1

-3x - 4 = 2x + 1

-5 = 5x

x = -1

The value of x in the equation 8-3(x+4)=2x+1 is -1.

Given equation 8-3(x+4)=2x+1

= 8-3x-12 = 2x+1

= -3x-4 = 2x+1

= -5x = 5

= x = -1

We will first solve the bracket which is -3(x+4) which will give us -3x-12 and then we will add this to 8 which will give us -3x-4. Next, we will move all the constants to one side and the terms with x to one side which will give us -5x=5. Finally, we will divide the whole equation by -5 and we will get the answer of x as -1.

To learn more about binomial, polynomial equations,

https://brainly.com/question/10707256

https://brainly.com/question/28715636

if the probability of a is 0.45 and the probability of the intersection of a and b is 0.15, then the probability that b will occur given that a has occurred is:

Answers

The probability that b will occur given that a has occurred is 2/5 as the probability of a is 0.45 and the probability of the intersection of a and b is 0.15.

What is probability?

It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 12. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

P(A)=0.45

P(A∩B)=0.15

P(A∪B)=1

P(B)=1-(0.45+0.15)

=1-0.60

=0.4

=2/5

With a probability of 0.45 and a and b's intersection having a 0.15 probability each, the likelihood that b will happen given that a has happened is 2/5.

To know more about probability,

https://brainly.com/question/9793303?referrer=searchResults

#SPJ4

aisha wants to buy apples and raspberries to make a fruit tart. apples cost $3 per pound and raspberries cost $2.75 per pound. how many pounds of fruit does she buy if she buys 3 pounds of apples and 2.5 pounds of raspberries? how many pounds of fruit does she buy if she buys xx pounds of apples and yy pounds of raspberries?

Answers

Answer:

6.4

Step-by-step explanation:

I guessed and got it right.

A: 10:00 am a truck started traveling from point A with a speed of 40mph. 3 hours
and 10 minutes later a car started to drive from point A in the same direction
with an
average speed of 60mph. At what time will the car catch up with
the truck?

Answers

Answer:h

Step-by-step explanation:

ihlug

CORE
SKILL
ADVANCED
If a is inversely related to the square of b, and a = 3 when bis
8, which of the following is another possible value for a and b?
(A) a = 4, b = 12
(B) a = 12, b = 4
(C) a = 8, b = 3
(D) a = 2, b = 4
(E) a = 6, b = 4

Answers

Another possible values for a and b are a = 12 and b = 4

How to find another possible value for a and b?

A variation is a relation between a set of values of one variable and a set of values of other variables

Given that: a is inversely related to the square of b, and a = 3 when bis

This can be written as:

a α 1/b²

a = k/b² (where k is a constant)

k = ab²

since a = 3 and b = 8.

Thus, k = 3 × 8² = 3 × 64 = 192

For a value to be another possible value for a and b, they must give k = 192 when substituted into the equation k = ab²:

a = 4, b = 12: k = 4 × 12² = 576

a = 12, b = 4: k = 12 × 4² = 192

a = 8, b = 3: k = 8 × 3² = 72

a = 2, b = 4: k = 2 × 4² = 32

a = 6, b = 4: k = 6 × 4² = 96

The values that produce k = 192 are a = 12 and b = 4. Therefore, another possible value for a and b is a = 12 and b = 4. So option B is the answer

Learn more about variation on:

https://brainly.com/question/2375770

#SPJ1

i will literally do ANYTHING for doordash mcdonalds literally Anything for 20 dollars

Answers

Answer: Nice

Step-by-step explanation:

23.45+1.9-5.78-2.6 ?

Answers

Answer:

16.97

Step-by-step explanation:

The front elevation of a solid shape is a triangle. The side elevation of the solid shape is a triangle. The plan view of the solid shape is a circle. Write the name of the shape.

Answers

Answer:

Cone

Step-by-step explanation:

The Angles are all triangle-shaped, but the bottom is circle-shaped.

Larissa is standing at point L Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explain

Answers

If LR equals 12 and PR equals 4, then: LP = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.

What is the Segment Addition Postulate?

The Segment Addition Postulate states that when there are two endpoints on a line segment (L) and (C), a third point (P) would lie on the line segment (LR), if and only if the magnitude of the distances between the endpoints satisfy the requirements of this equation LP + PR = LR.

This ultimately implies that, the Segment Addition Postulate is only applicable on a line segment that contains three collinear points.

By applying the Segment Addition Postulate to the given endpoints, the value of LP is given by:

LP + PR = LR

LP = LR - PR

Substituting the given parameters into the formula, we have;

LP = 12 - 4

LP = 8.

Read more on Segment Addition Postulate here: https://brainly.com/question/17335225

#SPJ1

Complete Question:

Larissa is standing at point L. Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explain

LP = 16 because 12 + 4 = 16 according to the addition property of equality.

LP = 8 because 12 - 4 = 8 according to the subtraction property of equality.

PR = 16 because LR + LP = PR according to the Segment Addition Postulate, and 12 + 4 = 16 using substitution.

PR = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.

Answer: Lp = 8

Step-by-step explanation:

Got it right

lins bike travels 100 meters when her wheels rotate 55 times . whats the circumferences of her wheels

Answers

Answer:

Using formula to calculate the circumference of wheel: c=d/n

where

D is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

As per the statement:

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

then by definition:

meter c=100/55=20/11

Therefore, the circumference of her wheel is 1 9/11

I need this by tonight would be appreciated. :) I know this is basic stuff I'm in Middle School but when I signed up for this there wasn't a middle school option.

Answers

The area of the floor of the convenience store would be = 212.5 ft²

What is the area of an object?

The area of an object is defined as the total space that is being occupied by that object.

To calculate the area of the convenience store is to find the area of the shaded part which would be = area of square - area of the triangle.

Area of square = l ×w = 15 × 15 = 225ft²

Area of triangle= 1/2 base ×height

= 1/2 × 5 × 5

(Note: 15 - 10 = 5 ft from the diagram used as base and height)

= 25/2

= 12.5 ft²

The area of the convenience store;

= 225 - 12.5

= 212.5 ft².

Therefore, the area that is covered by the convenience store should be = 212.5ft².

Learn more about area here:

https://brainly.com/question/28020161

#SPJ1

g in october 2012, apple introduced a much smaller version of the apple ipad, known as the ipad mini. weighing less than 11 ounces, it was 50% lighter than the standard ipad. battery tests for the mini ipad showed that battery life is uniformly distributed between 8.5 and 12 hours. calculate the expected value to two decimals.

Answers

Using the concepts of probability, we got that 0.4286 is the probability that the battery life for an iPad Mini will be 10 hours or less which is about 42.86%.

From the given information;

Let X represent the continuous random variable with uniform distribution U (A, B) . Therefore the probability density function can now be determined as :

[tex]f_X(x)[/tex] = [tex]\frac{1}{B-A}[/tex] where A<x<B

where A and B are the two parameters of the uniform distribution

From the question;

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours

So; Let A = 8,5 and B = 12

Therefore; the mathematical expression for the probability density function of battery life is :

[tex]f_X(x)[/tex] = [1 / (12-8.5)]8.5<x<12

[tex]f_X(x)=[/tex](1/3.5)8.5<x<12

The probability that the battery life for an iPad Mini will be 10 hours or less can be calculated as:

F(x) = P(X ≤x)

F(10)=[tex](x-A)/(B-A)[/tex]

F(10)=(10-8.5)/(12-8.5)

F(10)=1.5/3.5

F(10)=0.4286

Hence, the probability that the battery life for an iPad Mini will be 10 hours or less is 0.4286

To know more about probability, visit here:

https://brainly.com/question/11234923?

#SPJ4

(Complete question)

In October of 2012, Apple introduced a much smaller variant of the Apple iPad, known at the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of 10.25 hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

help i have no clue what this even means

Answers

Case 1: largest surface area: 2120 sq. in.

Case 2: smallest surface area: 1380 sq. in. of the wooden block.

What is defined as the cuboid?A three-dimensional shape called a cuboid is described as having six rectangular face, eight vertices, and twelve edges.Twelve edges plus eight vertices and corners to up a cuboid.

For the given question, the dimensions of the wooden block are given.

Length l = 50 inchesWidth w = 5 unitsHeight h = 2 units

Surface area of a cuboid is = 2lw + 2lh + 2 hw

Case 1: largest surface area.

To get the largest surface area, join the wooden cube along length 50 cm.

Total length = 50 + 50 + 50 = 150 inches.

Put in formula.

Surface area = 2×150×5 + 2×5×2 + 2×2×150

Surface area = 2120 sq. in.

Case 2: smallest surface area.

To get the smallest surface area, join the wooden cube along height 2 cm.

Total length = 2 + 2 + 2 =8 inches.

Put in formula.

Surface area = 2×8×50 + 2×50×5 + 2×5×8

Surface area = 1380 sq. in.

Thus, the smallest surface area of the wooden cube is found as 1380 sq. in.

To know more about the cuboid, here

https://brainly.com/question/26403859

#SPJ13

The correct question is-

There are 3 identical wooden blocks that are 50 inches long, 5 inches wide and 2 inches thick. If you glue them together , what is the largest and smallest outer surface area can get?

you wish to survey people who have brought in their cars for service during the past month. you decide to choose a random sample of gas stations in the city and then survey all customers from those stations who had work done during the past month. this procedure is an example of which type of sampling?

Answers

An illustration of "Cluster sampling" is the practice of selecting a random sample of the city's gas stations, and then surveying every station's patrons.

Define the term Cluster sampling?In cluster sampling, a population is divided into clusters, which have been smaller groups. They but choose a sample at random from these clustersOften employed to investigate huge populations, typically those that are substantially geographically distributed, cluster sampling is a probability sampling technique. Often, clusters used by researchers have been groups like cities or schools.

As per the given question.

People who brought their autos in for service over the past month should be surveyed. You make the decision to selecting a haphazard sample of the city's petrol stations, after which you interview all of their patrons whom have work done on their vehicles well within previous month.

Thus, an implementation of "Cluster sampling" is the practice of randomizing sample of the city's gas stations, and thereafter surveying every station's patrons.

To know more about the Cluster sampling, here

https://brainly.com/question/24466382

#SPJ4

will give you brainliest!! ASAP

Answers

Answer:

686 cm^2

Step-by-step explanation:

4(7)=28

7(7)=49

49 x 28= 1372

1372/2=686

hopes this helps

Find the x- and y-intercepts of the graph of 4x - 9y = 20. State each answer as an
integer or an improper fraction in simplest form.

Answers

What is y- intercept?The point where a graph contacts the y-axis is known as the y intercept. Any point on the y-axis has an x-coordinate of 0, as is known. Therefore, a y-x-coordinate intercept's is 0.The slope-intercept version of the equation for the line is y=mx+b. b is the line's y-intercept according to the specification of the slope-intercept form itself. You can experiment by changing x=0 to 0 to y=mx+b to check if the y-intercept changes to b. As a result, the slope-intercept form of the equation of a line's y-intercept is (0, b) or b.

Calculation

Find the dependent variable by itself: [tex]y= \frac{4x}{9} -\frac{20}{9}[/tex]

Find the function's x-intercept: x= 5

Find the dependent variable by itself: [tex]y= \frac{4x}{9} -\frac{20}{9}[/tex]

Find the function's y-intercept: y = [tex]-\frac{20}{9}[/tex]

The chart for : 4x-9y = 20

see the attachment

To learn more about y-intercept, refer to

https://brainly.com/question/25722412

#SPJ1

The x- and y-intercepts of the graph 4x - 9y = 20 In the simplest form, state each answer as an integer or an improper fraction. x = 20 + 9y /4

What is meant by fraction?A fraction is a portion of a whole. In arithmetic, the number is expressed as a quotient, which is the numerator divided by the denominator. In a simple fraction, both are integers.A complex fraction has a fraction in either the numerator or denominator. In a proper fraction, the top number is less than the lowest common.A fraction pretty much tells us how many parts of a whole we have. A fraction is identified by the slash that is written between the two numbers. Designers have a top number, the quaternion, and a bottom number, the denominator. For instance, 1/2 is a fraction.

Given

x, 4x - 9y = 20

x = 20 + 9 /4 y

Steps

4x - 9y = 20

Add 9 y to both sides

4x - 9y + 9y = 20 + 9y

Simplify

4x = 20 + 9y

Divide both sides by 4

4x/4 = 20/4 + 9y/4

Simplify

x = 20 + 9y /4

Hence, The x- and y-intercepts of the graph 4x - 9y = 20 In the simplest form, state each answer as an integer or an improper fraction.

x = 20 + 9y /4

To learn more about fraction, refer to:

https://brainly.com/question/78672

#SPJ1

equation of the line that passes through the points (1,-4)(1,−4) and (5,-1)(5,−1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answers

The equation of the line in the slope-intercept form will be y = (3/4)x + 13/4.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The points are given below.

(1, −4) and (5, −1)

The equation of the line that passes through (1, −4) and (5, −1) will be given as,

(y + 4) = [(−1 + 4) / (5 − 1)](x − 1)

y + 4 = (3/4)x − 3/4

y = (3/4)x + 13/4

The equation of the line in the slope-intercept form will be y = (3/4)x + 13/4.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Write a rule for g that represents the indicated transformations of the graph of f.

f(x)=2x5−x3+x2+4; reflection in the y-axis and a vertical stretch by a factor of 3, followed by a translation 1 unit down

Answers

The rule that represents the transformation is g(x) = -6x⁵ + 3x³ + 3x² + 11

How to determine the transformation of the function?

The equation of the function is given as

f(x) = 2x⁵ - x³ + x² + 4

The sequence of transformations is given as follows:

Reflection across the y-axisVertically stretched by a factor of 3Translate down by 1 unit

When the above transformations are combined, we have:

g(x) = 3f(-x) - 1

So, we have

3f(-x) - 1 = 3[2(-x)⁵ - (-x)³ + (-x)² + 4] - 1

This gives

3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 12 - 1

Expand

3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 11

So, we have

g(x) = -6x⁵ + 3x³ + 3x² + 11

Hence, the function is g(x) = -6x⁵ + 3x³ + 3x² + 11

Answers

The solution of | x | +5 ≤ 1 is option C, All values are solutions

We need to find the solution of | x | +5 ≤ 1

Upon removing the modulus function, the term presnet within it can be either negative or positive

considering it as postive

| x | +5 ≤ 1

x + 5 ≤ 1

x ≤ 1 - 5

x ≤ -4

considering it as negative

| x | +5 ≤ 1

-x + 5 ≤ 1

-x ≤ 1 - 5

-x ≤ -4

x ≥ -4

Therefore, the solution of | x | +5 ≤ 1 is All values are solutions

To learn more about linear inequality refer here

https://brainly.com/question/24372553

#SPJ9

The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -9 ≤ x ≤ -4?

Answers

Answer:

2.4

Step-by-step explanation:

You want the average rate of change on the interval [-9, -4] for the graphed function.

Average rate of change

The average rate of change (m) is the slope of the line between the points at the ends of the interval. For function f(x) on interval [a, b], this is ...

m = (f(b) -f(a))/(b -a)

Application

For the function f(x) on the interval [-9, -4], the average rate of change is ...

m = (f(-4) -f(-9))/(-4 -(-9)) = (-4 -(-16))/5 = 12/5 = 2.4

The average rate of change of f(x) on [-9, -4] is 2.4.

What is the slope of a line parallel to the line whose equation is 3x+4y=36

Answers

Answer:

3/4

Step-by-step explanation:

Get into y=mx+b

Subtract 3x

4y=3x+36

Divide by 4

y=3/4x+9

Parallel= 3/4

Perpendicular= -4/3

A balloon was originally filled to a volume of 4,400 cubic centimeters. Air inside the balloon leaks out over time.
Write an inequality that describes V, the volume of the balloon in cubic centimeters as air leaks out.
Enter your inequality without a thousands separator.

Answers

The inequality expression of the volume of the balloon is V < 4,400

How to determine the inequality expression?

From the question, we have the following statement:

The initial volume of the balloon is 4,400 cubic centimeters

Also, we understand that:

The balloon leaks out over time

This means that the volume of air in the balloon decreases over time.

So, we have the following representation

V = Less than the initial volume

Rewrite as

V < 4400

Hence, the volume of the balloon at any time after it starts leaking is V < 4,400