Answer:
1: x = -1
2: x = 3
3: x = -3
Step-by-step explanation:
f(x)=x^3+x^2−9x−9
f(x)=x^2(x+1) −9x−9
f(x) = x^2(x+1) - 9(x+1)
f(x)= (x+1)(x^2-9)
f(x) =(x+1)(x-3)(x+3)
Answer:
[tex]\boxed{x=-1, \ x=-3, \ x=3}[/tex]
Step-by-step explanation:
The zeros of a function are the values of x when f(x) = 0.
[tex]x^3 +x^2-9x-9=0[/tex]
Factor left side of the equation.
[tex]x^2(x +1)-9(x+1)=0[/tex]
Take (x+1) common.
[tex](x^2-9)(x+1)=0[/tex]
Set factors equal to 0.
First possibility:
[tex]x^2 -9=0[/tex]
[tex]x^2 =9[/tex]
[tex]x=\± \sqrt{9}[/tex]
[tex]x=\± 3[/tex]
[tex]x=-3 \ \mathrm{or} \ x=3[/tex]
Second possibility:
[tex]x+1=0[/tex]
[tex]x=-1[/tex]
evaluate 15.2% of a 726 + 12.8% of 673
Answer:
196.496
Step-by-step explanation:
0.152x726+0.128x673
110.352+86.144
=196.496
please whats the answer to 8 - 14s + 3g
Answer:
8 - 14s + 3g
Step-by-step explanation:
None of the terms are like terms so it cannot be simplified
8 is a constant
-14 and 3 are coefficients
s and g are variables
━━━━━━━☆☆━━━━━━━
▹ Answer
8 - 14s + 3g
▹ Step-by-Step Explanation
Since we can't combine like terms, the answer will remain the same as the problem:
8 - 14s + 3g
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
a ceartain trigangle has to 45 degree angles . what type of triangle is it
Answer:
Either a 45°-45°-90° triangle or an isosceles right triangle depending on the question
Step-by-step explanation:
A triangle that has two 45° angles always has a third angle of 90° making it a 45-45-90 as well as a right triangle.
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Answer:
6,265 votes
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Given that :
Ratio of yes votes to no votes = 5 to 7
Yes votes : no votes = 5 : 7
Total votes = 10,740
The actual number of yes votes and no votes can be obtained thus :
Sum of ratio = (5 + 7) = 12
(ratio of vote / sum of ratio) * total votes
Number of no votes :
(Ratio of no votes / total ratio) * total votes
(7 / 12) * 10,740
0.5833333 * 10,740
= 6,265 votes
Number of no votes = 6,265 votes.
Solve the equation below for y. 6x – 3y = 36 A. y = 2x − 12 B. y = 12 − 2x C. y = 12x + 6 D. y = 6 – 12x
Answer:
y=-12+2x
Step-by-step explanation:
The equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.
Hence, the correct answer is A. y = 2x - 12.
Given is an equation 6x - 3y = 36, we need to solve for y.
To solve the equation 6x - 3y = 36 for y, we need to isolate y on one side of the equation.
Here's the step-by-step process:
Start with the given equation: 6x - 3y = 36
Get rid of the constant term (36) on the right side by subtracting 36 from both sides:
6x - 3y - 36 = 36 - 36
6x - 3y = 0
Divide both sides of the equation by -3 to isolate y:
(6x - 3y) / -3 = 0 / -3
(6x)/(-3) - (3y)/(-3) = 0
-2x + y = 0
Add 2x to both sides to isolate y:
-2x + y + 2x = 0 + 2x
y = 2x
So, the equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.
Hence, the correct answer is A. y = 2x - 12.
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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
I suggest getting this app called photo math, it will help you soo much.
Answer:
x = 3
Step-by-step explanation:
4 (x - 1 ) + 4x -1 = 19
solve the brackets first
4x - 4 + 4x -1 = 19
4x + 4x -4 -1 = 19
8x -5 = 19
8x = 19+5
8x = 24
x = 24/8
x = 3
Hi! Just a quick question, whats the equation i have to type?
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
Answer:
ol so polygon all sum is 540
we know that pentagon of 5 sides always has sum 540
so 5x = 540
x = 108
as per me ...
To make a net from a container, you start by cutting one of the seams along the edge where the two sides meet. If you wanted to make a different net for the container, what would you do differently?
Answer:
I would not separate the same edges when making a second net. Also, I would make sure that the result cannot be rotated or flipped so that it is the same as the first.
Step-by-step explanation:
The 1275 students who accepted admission to Academic University in 2016 had an average SAT score of 1356. Is 1356 a population parameter or a sample statistic?
Answer:
population parameter
Step-by-step explanation:
A population is said to be category of individuals under study.
A population parameter is a numerical value which provides a summary to a measure of an average or percentage which describes the entire population under a study.
In a Normal Curve, the population parameter can be a population mean or population standard deviation , population proportion which represent the population.
∴
The average SAT score of 1356 in the given study is a population parameter
A bag contains 2
2
blue marbles, 2
2
red marbles, and 2
2
yellow marbles.
If Jenna randomly draws a marble from the bag (and puts it back) 15
15
times, how many times should she expect to pull a yellow marble?
Answer:
5 times
Step-by-step explanation:
Jenna wil most likely pull a yellow marble 1/3 of the time, because the total number of marbles is 6, and there are 2 yellow marbles, 2/6 which is 1/3. 1/3 times 15 is 5. So Jenna will most likely pull a yellow marble 5 times.
A line passes (-8,-2) and has a slope of 5/4. Write an equation in Ax + By=C
Answer:
5x-4y = -32
Step-by-step explanation:
First write the equation in point slope form
y-y1 = m(x-x1)
y - -2 = 5/4 ( x- -8)
y+2 = 5/4 (x+8)
Multiply each side by 4 to clear the fraction
4( y+2 )= 4*5/4 (x+8)
4y +8 = 5(x+8)
4y+8 = 5x+40
Subtract 4y from each side
8 = 5x-4y +40
Subtract 40 from each side
-32 = 5x-4y
5x-4y = -32
Answer:
The answer is
5x - 4y = -32Step-by-step explanation:
To write an equation of a line given a point and slope use the formula
y - y1 = m( x - x1)
where
m is the slope
( x1 , y1) is the point
From the question
slope = 5/4
point (-8 , -2)
So the equation of the line is
[tex]y + 2 = \frac{5}{4} (x + 8)[/tex]Multiply through by 4
4y + 8 = 5( x + 8)
4y + 8 = 5x + 40
5x - 4y = 8 - 40
We have the final answer as
5x - 4y = -32Hope this helps you
1)A cylindrical container has a diameter of 14cm and a height of 20cm and is full of water. A student pours the water into another cylinder of diameter 20cm. How deep is the water in the second cylinder?
2)A cylindrical water tank is 70cm in diameter. To begin with, it is full of water. A leak starts at the bottom so that it loses 10l of water every hour. How long will it take for the water level to fall by 20cm?
3) A cylindrical storage vessel is 4m in diameter and 31/2m deep. How many kilolitres will it hold?
1) 9.8 cm
3) 194.68 kilo litters
Step By Step Explanation
Sister these questions are related to volume of cylinder.
You need to use this formula πr²h [ Where r is radius and h is height or depth]
_______________________________________
3)
Given:
Diameter = 4m
Therefore radius = 2m
Depth is 31/2 m
To Find:
How many kilo litters will it hold ?
Actually It's asking about Volume.
Solution:
You know, volume = πr²h
[tex] = \pi {(2 \: m)}^{2} \times ( \dfrac{31}{2})m[/tex]
[tex] = 3.14 \times 4 \: {m}^{2} \times \dfrac{31}{2} m[/tex]
[tex] = \: 62 \times 3.14 \times {m}^{3} \sf [\because \: {m}^{3} = kilolitters][/tex]
[tex] = \sf 194.68 \: \: kilolitters[/tex]
_______________________________________
1)
Given:
Diameter = 14 cm
[tex] \sf \therefore \: radius \: = 7 \: cm[/tex]
height = 20 cm
Diameter of other cylinder = 20 cm
[tex] \sf \therefore \: radius = 10 \: cm[/tex]
To Find:
Deep of water in other cylinder
Consider the depth of water be x
Solution:
Volume of water will remain constant in both
So,
[tex]V_1 = V_2[/tex]
[tex] \sf \: \pi {(r_1)}^{2} h_1 = \pi {( r_2 )}^{2} h_2[/tex]
[Eliminating π from both sides]
[tex] {(7)}^{2} \times 20= {(10)}^{2}x[/tex]
[tex]49 \times 20 = 100x [/tex]
[tex]x = \dfrac{49 \times 2}{10} [/tex]
[tex]x = \dfrac{98}{10} \implies \: 9.8[/tex]
Therefore the required value of x is 9.8 cm .
Please help me ? + 14% = 3990
Answer:
how is it possible this is impossible
Answer:
3990/(1.14)=3500
Step-by-step explanation:
The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10
Find d when v=70
Answer:
d = 245Step-by-step explanation:
d is directly proportional to the square of a speed v
d = av²
5 = a•10²
5 = 100a
a = 0.05
d = 0.05v²
d = 0.05•70²
d = 0.05•4900
d = 245
PLEASE HELP ME I NEED HELP
Answer:
V = 1/32 yd^3
Step-by-step explanation:
To find the volume
V= l*w*h where l is length, w is width, and h is height
V = 1/4 * 1/4 * 1/2
V = 1/32 yd^3
Recall the equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day: Now, open the graphing tool and graph the equation. Use the pointer to determine how many hours of production there are in a day if the average number of non-defective refrigerators produced per hour is 15.
Answer:
The graph representing the above equation is attached below.
Step-by-step explanation:
The equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day is:
[tex]y=\frac{196-3x}{x}[/tex]
Simplify the expression as follows:
[tex]y=\frac{196-3x}{x}[/tex]
[tex]y=\frac{196}{x}-3[/tex]
The graph representing the above equation is attached below.
On moving the pointer to y = 15, it was determined that the value of x was 10.89.
The point is also plotted on the graph
Answer:
There would be 11 hours of production in a day.
Step-by-step explanation:
Change 300mm into cm
Answer:
30 centimeters
Step-by-step explanation:
true
I NEED HELP PLEASE I GIVE 5 STARS !
Answer:
C. 2[tex]\sqrt{29}[/tex]
Step-by-step explanation:
Square root of 116 is 10.7703296
Square root of 29 is 5.38516481, but as it is multiplied by 2, it becomes 10.7703296
What is the slope of the line given by the equation y = 4x? Enter your answer as an integer or fraction in lowest terms.
Answer:
slope = 4
Step-by-step explanation:
recall that for a linear equation in the form:
y = mx + b,
m = slope of line and b is the y-intercept.
In our case, we are given
y = 4x
If we compare this with the general equation above,
we can see that m = 6 and b = 0
hence slope = m = 4
What does it mean when a polynomial equation is in standard form?
All terms are on one side of the equation, and zero is on the other side.
It is in the form Ax+Bx=C.
The polynomial is in factored form.
All terms with a variable are on one side of the equation, and the constant is on the other side of the equation.
Answer:
Standard form is Ax + By = C
Step-by-step explanation:
Answer:
The standard form is Ax + Bx = C
The sequences below are either arithmetic sequences or geometric sequences. For each sequence, determine whether it is arithmetic or geometric, and write
the formula for the nth term e, of that sequence
Sequence
Type
term formula
(a) 13, 16, 19
Arithmetic
Geometric
(6) 2, 10, 50
Arithmetic
Geometrie
Sum
o
el
Answer:
a) Arithmetic yₙ = 3*(n - 1) + 13
b) Geometric yₙ = 2*5⁽ⁿ⁻¹⁾
Step-by-step explanation:
The formula for the nth term e, of that sequence is; yₙ = 3*(n - 1) + 13 and yₙ = 2*5⁽ⁿ⁻¹⁾
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
(a) 13, 16, 19
Here, yₙ = 3*(n - 1) + 13
This is an Arithmetic.
b) 2, 10, 50
Here, yₙ = 2*5⁽ⁿ⁻¹⁾
This is Geometric .
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I need help ASAP!! Please explain how to solve the problem
Answer:
Step-by-step explanation:
Surface Area of Cylinder = 2πrh+2πr^2
2π(3)(12) + 2π(3)^2
= 282.7 yd^3
answered by g a u t h m a t h
The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum.
B
Step-by-step explanation:
Might be wrong
please help me answer these in variable and constant terms 7s + 8s - 6h
Answer:
see below
Step-by-step explanation:
7s + 8s - 6h
7 8 and -6 are coefficients
s and h are variables
We can combine like terms
15s -6h
15 and -6 are coefficients and
s and h are variables
Answer:
Variable Terms: (Alphabets)
s and h
Constant terms: (Numbers)
No constants
Coefficient terms: (Numbers with alphabets)
7 , 8 and -6
Rohan is 2 years elder than rohit. Five years ago , one third of his age was equal to three-sevenths of rohit's age. Clalculate their present ages. pl tell with explanation
Answer:
I hope it will help you.
have a great day . ☺☺
Answer:
Step-by-step explanation:
Let Rohan age = xLet Rohit age =yx = y + 2
(1/3)* (x - 5 ) = (3/7)(y - 5) Multiply both sides by 3
(x - 5) = 9/7 (y -5) Multiply both sides by 7
7(x - 5) = 9(y - 5) Remove the brackets
7x - 35 = 9y - 45 Add 45 to both sides
7x + 10 = 9y
y = x - 2
7x + 10 = 9(x - 2)
7x + 10 = 9x - 18
7x +10 + 18 = 9x
28 = 2x
x = 14
y = 14 -2
y = 12
Will Mark Brainlest Help Please Please .
Answer:
i think this is the correct answersStep-by-step explanation:
Mark me Brainlest please1. (01.03 LC)
Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $490.00 and her monthly expenses are $387.10,
what percent of her net pay is left for savings? (2 points)
21%
27%
45%
Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.
First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.
That is, the percentage indicates what part of a total represents a quantity.
To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.
In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.
Then:
portion of the total= amount of money saved= $102.9total amount= Lillie's current monthly net pay= $490So, the percentage is calculated as:
percentage= (102.9÷490) ×100
percentage= 0.21×100
percentage= 21%
The correct option is: 21 percent of her net pay is left for savings.
Learn more about percentage with this examples:
brainly.com/question/19295956?referrer=searchResultsbrainly.com/question/1301322?referrer=searchResultsA. 264
B. 233
C. 153
D. 268
9514 1404 393
Answer:
A. 264 mi³
Step-by-step explanation:
The area of the right triangular base is ...
A = 1/2bh
A = 1/2(6 mi)(8 mi) = 24 mi²
Then the volume of the prism is ...
V = Bh . . . . . where B is the base area and h is the distance between bases
V = (24 mi²)(11 mi) = 264 mi³
1. (a) Find the greatest common divisor of the term 144x3y2and 81xy4
(b) Hence factorise completely this expression 144x3y2-81xy4
Answer:
Step-by-step explanation:
a) 144x³y² = 2 *2*2*2* 3* 3* x³ * y² = 2⁴ * 3² * x³ * y²
81xy⁴ = 3 * 3 * 3 * 3 * x * y⁴ = 3⁴ * x * y³
GCD is that are in both term
Greatest common divisor = 3² * x * y² = 9xy²
b) 144x³y² - 81xy⁴ = 9xy² * 16x²y - 9xy²*9y²
= 9xy²(16x²y - 9y²)
Find the nth term of each of the sequences.
(a) 16, 19, 22, 25, 28, ...
(b) 1,3,9,27,81,...
Answer:
a) 16, 19, 22, 25, 28, 31, 34, 37, 40
b) 1, 3, 9, 27, 81, 243, 729, 2187
Explanation:a) Add 3 on every number.
b) Multiply every number by 3.