explain turning point in graphs

Answers

Answer 1

A turning point is a point at which the derivative changes sign. A turning point may be either a relative maximum or a relative minimum (also known as local minimum and maximum). 


Related Questions

6. From a 5-pound bag of flour, Maura used 2 3/16 pounds to bake
cakes. Find the weight of the flour left in the bag.

Answers

2 13/16. 5-2=3. 3- 3/16= 13/16.

If I have a 97% in one of my classes what do I have to get on my final project, which is 30% of my grade, to pass with at least a C or 70%.

Answers

Answer:

you will need at least a 94 on your final project

Step-by-step explanation:

hope it helps!

How do I find the ordered pair with an x-value of 2, for the equation f(x)=4x-1? What is the ordered pair? urgent please

Answers

Step-by-step explanation:

f(2)=4(2)-1 = 7

the ordered pair is (4,7)

Help me and show work because I don't understand this one

Answers

Step-by-step explanation:

[tex]4 {}^{2x + 3} = 1[/tex]

In order for exponents to be equal, they must have the same base and same power.

So what exponet can we raise 4 to in order to get 1.

Remeber that

[tex]a {}^{0} = 1[/tex]

so

[tex]4 {}^{0} = 1[/tex]

,So we finally have

[tex]4 {}^{2x + 3} = 4^{0} [/tex]

Set the exponents equal to each other

[tex]2x + 3 = 0[/tex]

[tex]2x = - 3[/tex]

[tex]x = - \frac{3}{2} [/tex]

Karl is putting a frame around a rectangular photograph. The photograph is 12 inches long and 10 inches wide, and the frame is the same width all the way around. What will be the area of the framed photograph?

Answers

Answer:Area=Length x breadth
Area=12 x10 = 120in^2

Step-by-step explanation:

50 PTS. Solve the given equation by completing the square.
r2 + 8 = 38
Fill in the values of a, b, and c to complete the solutions.

Answers

Answer:

r = 15

Step-by-step explanation:

That's my answer hope it helps brainliest my answer please that's correct

Answer:

r=15

Step-by-step explanation:

hope it helps you bro

Please help!
Part A and part B please

Answers

39 students in 5th grade because 19% of 205 is 38.95

Answer:

39

Step-by-step explanation:

Given:

1st grade:

19%

2nd grade:

14%

3rd grade:

22%

4th grade:

26%

5th grade:

19%TOTAL : 205 students.To find -

Since the total students have been given, we just have to find the percentage of the 205 students that are 5th graders (19%).

So this can be found out:

19% of 205

Solution:

Always use this formula to find a percentage:

% / 100 = Part / Whole replace the given values:

19 / 100 = Part / 205

Cross multiply:

19 x 205 = 100 x Part, or

3895 = 100 x Part

Now, divide by 100 and get the answer:

Part = 3895 / 100 = 38.95

Since decimal cant be a whole number round to nearest tenth:

First note that 38.95 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 38Fractional Part: 95

To round 38.95 to nearest tenth means to round the numbers so you only have one digit in the fractional part.

We use the following rules to round 38.95 to the nearest tenth:

A) If the last digit in the fractional part of 38.95 is less than 5, then simply remove the last the digit of fractional part.B) If the last digit in the fractional part of 38.95 is 5 or more and the first digit in the fractional part is less than 9, then add 1 to the first digit of the fractional part and remove the second digit.C) If the last digit in the fractional part of 38.95 is 5 or more and the first digit in the fractional part is 9 then add 1 to the Integer part and make the fractional part 0.

With 38.95, rule C applies and the answer is:

39.0

Find the slope of the line through the pair of points: ( − 3 , 4 ) and ( 0 , 2 ) .

Answers

Answer:

[tex]-\frac{2}{3}.[/tex]

Step-by-step explanation:

1) the required slope can be calculated if to use the ratio:

slope=(y(B)-y(A))/(x(B)-x(A)), where x(A)=-3; y(A)=4; x(B)=0 and y(B)=2;

2) according to the formula above:

s=(2-4)/(0+3)=-2/3.

The slope of the line through the given points is: -2/3.

What is the Slope of a Line?

Slope of a line= change in y / change in x = rise/run.

Given the points:

(-3, 4) = (x1, y1)

(0, 2) = (x2, y2)

Slope = (4 - 2)/(-3 - 0)

Slope = 2/-3

Slope of the line = -2/3

Learn more about slope of a line on:

https://brainly.com/question/20848

#SPJ6

8-109. Solve each equation.
.
a. 6x+12=-x-2

Answers

Answer:

x = -2

Step-by-step explanation:

6x+12 = -x-2

7x+12 = -2(bring x to the left)

7x = -14(bring constants to the right)

x = -2

Find the slope and the y-intercept of the graph of the linear equation.

y = 4x-7

The slope is (Answer here)
and the y-intercept is (Answer here)

Answers

Answer:

The slope is 8.000/2.000 = 4.000

The y-intercept is -7/1 = -7.00000

Step-by-step explanation:

^^

solve by completing the square:

x^2+3x-70=0 (Answer: -10, 7)

x^2=-10x-30 (Answer: { })

help and with explanation; will give brainliest

Answers

Answer:

Step-by-step explanation:

x² + 3x - 70 = 0

x² + 3x = 70

x² + 3x + (3/2)² = 70 + (3/2)²

(x + 3/2)² = 70 + 9/4 = 289/4 = (17/2)²

so

x + 3/2 = ±17/2

x = ±17/2 - 3/2

x₁ = 17/2 - 3/2 = 14/2 = 7

x₂ = -17/2 - 3/2 = -20/2 = -10

x² = -10x - 30

x² + 10x = -30

x² + 10x + (10/2)² = -30 + (10/2)²

x² + 10x + 25 = -30 + 25 = -5

(x + 5)² = -5

[tex]x+5 = \pm\sqrt{-5}\\x + 5 = \pm i \sqrt{5}\\x = -5\pm i \sqrt{5}\\\\x_1 = -5+ i \sqrt{5}\\\\x _2= -5- i \sqrt{5}\\[/tex]

write a pair of equivalent fractions for 2/5?.​

Answers

Step-by-step explanation:

4/10

6/15

8/20

10/25

these were some

A shop in the mall is 8 yards by 12 yards. How much would it cost to recarpet the shop with carpet that costs $2.69 per square yard?

Answers

Answer:

Step-by-step explanation:

You will first have to find the area to find the price of each square yard.

Area is 8*12 = 96. Multiply this by 2.69.

It will cost 258.24 dollars to recarpet the shop.

Let me know if this helped

Answer:

A shop in the mall is 8 yards by 12 yards. How much would it cost to recarpet the shop with carpet that costs $5.00 per square yard?

Step-by-step explanation:

Find the surface area of this net.

Answers

Answer:

B

Step-by-step explanation:

pls mark me as brainest

please help fast!!!!!!!!!!!!!

Answers

Answer:

a. 6+y   b. 5- (10x c)

C. 14 +(6 x c)  d. x +y=18 f. x - 12 = 7

Step-by-step explanation:

student stands at the edge of a diving board that is 3m high. The student's weight is 350N. What is the student's gravitational potential energy?

Answers

Answer:

1050 J

Step-by-step explanation:

GPE = Weight x height

= 350 x 3

= 1050 J

Using PEMDAS
1.) 10 - 8 ÷ 4 + (7 - 2)
2.) 3² + 2 (6) - 3​

Answers

1.) 10 - 8 divided by 4 + (7 - 2) = 13
2.) 3^2 + 2 (6) - 3 = 18 hope it helps!
ANSWER:1.) 13

2.) 18

P - arenthesisE - xponents M - ultiplication D - ivisionA - ddition S - ubtraction

SOLUTION1:10 - 8 ÷ 4 + (7 - 2)10 - 8 ÷ 4 + 510 - 2 + 58 + 513

SOLUTION2:3² + 2 (6) - 39 + 2 (6) - 39 + 12 - 321 - 318

#LearningWithMath

You purchase a car for $36,000. Five years later, the car is worth $28,500. a. By how much is the car decreasing in value per year?

Answers

Answer:

1,440

Step-by-step explanation:

that is how much your car decreasing

hope it helps

If WX is tangent to circle y, find wx

Answers

that statement is very true

What is the scale factor the smaller rectangle to the larger rectangle?
​​


A
6

B
2

C
48

D
1/2

Answers

Answer:

scale factor is larger larger length over the smaller length.

The function G(x) = sin(x) is the result of the application of transformations
on the original function F(x) = cos(x). Which of the following options
correctly describes the transformations applied to F(x)?
A. A phase shift of n radians
B. A vertical shift of -1 unit
T
C. A phase shift of radians
2
a
D. A vertical shift of 1 unit
Sell

Answers

Answer: shifted by π/2 radians

Step-by-step explanation:

The function sine of 'x' can be equated to the function cosine of 'x' by shifting cosine by 180 degrees. In math words:

[tex]sin(x)=cos(x-180)[/tex]

The value 180 degrees in radians would be π/2. Therefore, in radians:

[tex]sin(x)=cos(x-\pi /2)[/tex]

The 'x' inside of the functions is called the argument, and the value added or subtracted to the argument is the phase. The correct answer would be that sine is equal to cosine shifted by a phase of π/2 radians

Blake is saving up to buy a
new pair of headphones. He
has $20 saved already, and
he earns $ 10 for every lawn
he mows. How many lawns will
he have to mow to have at
least $90 saved?

Answers

Answer: He will need to mow 7 lawns.

Step-by-step explanation:

He already has $20

90-20=70

70/10=7

a car travels at a speed of 300km per hour in 3 hours,what is the distance covered

Answers

Answer= 900km

Explanation:
The standard formula is Speed= Distance/Time

To find Distance, rearrange the formula in terms of distance
Distance= Speed*Time (* means multiplication)

Distance= 300km/h*3h
Distance= 900km

At a certain college, there were 700 science majors, 300 engineering majors, and 500 business majors. If one student was selected at random, the probability that the student is an engineering major is

Answers

Answer:

300/1500, 1/5, or 20%

Step-by-step explanation:

There are 1500 students total, but only 300 engineering students. We can represent this as a fraction: 300/1500. When reduced it comes out to 20%.

6) 10 ft is what percent of 135.8 ft?​

Answers

Answer: 7.364%...............

Answer:

Step-by-step explanation:

small amount = 10

Large amount = 135.8

% = (small amount / large amount ) * 100

% = (10 / 135.8) * 100

% = 0.0736* 100

% = 7.36%

Utilize graphing to find the solution to
the following system of equations.
y = 2x + 1 AND y = x - 3
(-4, [?])
What’s the answer that goes in the green box picture below:

Answers

Final Answer is
(-4,-7)

Explanation:
Put (-4) in one of shown equations
y = -4-3 = -7
y = 2(-4)+1 = -7

Good Luck.

Matt is carpeting his bedroom. The room measures 12 feet by 14 feet. If carpet costs $2.29 per square foot, then how much will Matt spend to carpet his bedroom?

Answers

$384.72

12x14=168
168x2.29=384.72

(2x – 4) and ( 5x²-2x+6)

Answers

Answer:

2(x-2)(5x^2+4)

maybe i am wrong sorry if i am

12. Find all x- and y-intercepts, state the multiplicity of each zero and tell if the graph crosses or
bounces, and state the end behavior Then graph each polynomial by hand,
P(x)=x^2(x-3)^2(x+2)


P(x)=x^4-4x^2

Answers

Step-by-step explanation:

12a. To

find x intercepts, set each factor equal to zero

[tex] {x}^{2} = 0[/tex]

[tex]x = 0[/tex]

[tex](x - 3) {}^{2} = 0[/tex]

[tex]x = 3[/tex]

[tex]x + 2 = 0[/tex]

[tex]x = - 2[/tex]

So the x intercepts are( 0,-2,3.)

The multiplicity of 0 and 3 is 2,

The multiplicity of -2 is 1.

The y intercepts are

[tex]0 {}^{2} (0 - 3) {}^{2} (0 + 2) = 0[/tex]

The y intercept is 0.

End Behavior: Since this is a positve 5th root function, as x increases, f(x) increases while as x decreases, f(x) decreases.

The First picture shows the graph of the function. Notice ried the zeroes that have a multiplicity of 2 have a parabolic reflection after thre function reaches their zero.

The zero that have a multiplicity of 1 have just passes through the graph.

12b. We have

[tex] {x}^{4} - 4 {x}^{2} [/tex]

We can easily find y intercept, which is 0.

To find x intercept,

Factor

[tex] {x}^{2} ( {x}^{2} - 4)[/tex]

[tex] {x}^{2} (x + 2)(x - 2) = 0[/tex]

[tex]x = 0[/tex]

[tex]x = 2[/tex]

[tex]x = - 2[/tex]

So the x intercepts are (0,2,-2).

The multiplicity of 0 is 2 while 2 and -2 is 1.

End Behavior: Since this is a positve quartic function, as x increases or decreases , f(x) increases

Look at the second graph,

Answer:

[tex]P(x)=x^2(x-3)^2(x+2)[/tex]

y-intercept is when x = 0:

[tex]\implies P(0)=0^2(0-3)^2(0+2)=0[/tex]

Therefore, y-intercept is at (0, 0)

x-intercept(s) is when P(x) = 0

[tex]\implies x^2(x-3)^2(x+2)=0[/tex]

[tex]\implies x^2=0\implies x=0[/tex]

[tex]\implies (x-3)^2=0\implies x=3[/tex]

[tex]\implies (x+2)=0\implies x=-2[/tex]

Therefore, x-intercepts are:

(0, 0) with multiplicity 2 → bounces(3, 0)  with multiplicity 2 → bounces(-2, 0) with multiplicity 1 → crosses x-axis

End-behavior:

As the lead coefficient is positive and the lead degree is odd,

[tex]P(x) \rightarrow - \infty \textsf{ as }x\rightarrow - \infty[/tex]

[tex]P(x) \rightarrow + \infty \textsf{ as }x\rightarrow +\infty[/tex]

-------------------------------------------------------------------------------

[tex]P(x)=x^4-4x^2[/tex]

y-intercept is when x = 0:

[tex]\implies P(0)=(0)^4-4(0)^2=0[/tex]

Therefore, y-intercept is at (0, 0)

x-intercept(s) is when P(x) = 0

[tex]\implies x^4-4x^2=0[/tex]

[tex]\implies x^2(x^2-4)=0[/tex]

[tex]\implies x^2(x-2)(x+2)=0[/tex]

[tex]\implies x^2=0 \implies x=0[/tex]

[tex]\implies (x-2)=0 \implies x=2[/tex]

[tex]\implies (x+2)=0 \implies x=-2[/tex]

Therefore, x-intercepts are:

(0, 0) with multiplicity 1 → crosses x-axis(2, 0)  with multiplicity 1 → crosses x-axis(-2, 0) with multiplicity 1 → crosses x-axis

End-behavior:

As the lead coefficient is positive and the lead degree is even,

[tex]P(x) \rightarrow + \infty \textsf{ as }x\rightarrow - \infty[/tex]

[tex]P(x) \rightarrow + \infty \textsf{ as }x\rightarrow +\infty[/tex]

five more than thrice a certain number x

Answers

Answer: 2x + 5

Hope this helped!
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