Factor the GCF from 96x2 + 88x. Use the drop-down menus to complete the statements. The GCF of 96x2 and 88x is . Each term written as a product, where one factor is the GCF, is . The factored form of the expression is

Answers

Answer 1

1) Determine the GCF of the numbers 96 and 88

=> Decompose each number in their prime numbers:

=> 96 = (2^5)(3)

=> 88 = (2^3) (11)

=> GCF of 96 and 88 = 2^3 = 8

2) Determine the GCF of the letters, x^2 and x

=> x

3) Conclude the GCF of the terms is 8x

4) Now you can factor the expression by dividing each term by the GCF, 8x:

96 x^2 / (8x) = 12x

88x / (8x) = 11

So, the factored form is (8x) (12x + 11)

Answer 2

Answer:

1: The GCF of 96x2 and 88x is: Answer: 8x

2: Each term written as a product, where one factor is the GCF, is: Answer: 8x(12x)+8x(11)

3: The factored form of the expression is: Answer: 8x(12x+11)

Step-by-step explanation:

You're explanation is the answers hope I helped !!!! Good luck!!!!!

Related Questions

find a1 for the geometric series with r=3 and s6=364

Answers

hello here is a solution :

help
The coordinate grid shows the graph of four equations:

A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6.

Which set of equations has (5, 0) as its solution?

A and B
C and D
B and D
A and D

Answers

When you graph the following lines, the set of equations that has (5, 0) as its solution are lines A and B. You can see that both lines passes though the coordinate (5,0). Another way of determining if the given coordinate is a solution to the equation to to establish an equation using these points. In here, i will use the point - slope form.
for line A, we have (-3,4) and (9, -2)
y - y1 = m(x - x1)
y - 4 = (-2 - 4/9 -(-3))(x - (-3))
y - 4 = -(1/2)(x+3)
2y - 8 = -x - 3
2y = -x + 5

substitute (5,0)
2(0) = -5 + 5
0 = 0

I NEED HELP ASAP! PLS HELP ME!

Answers

The correct answer is C. y=2.11x because if you multiply all of the x-values by 2.11, you get the y-value.

2.11*7 = 14.77

2.11*9 = 18.99

the answer is y=2.11x

Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113. Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

Answers

Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113. Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours. (4 points)

time      rent
hours          $

3                 43
8               113

Assume a linear relation, this is r(t)= Ax + C

=> [r - 43] / [ x - 3] = [113 - 43] / 8 - 3]

=> [r - 43] / [x - 3] = 70 / 5

=> [r - 43] / [x - 3] = 14

=> r - 43 = 14 [x - 3]

=> r - 43 = 14x - 14*3

=> r - 43 = 14x - 42

=> r - 14x - 1 = 0   <----- standard form

Part B: Write the equation obtained in Part A using function notation. (2 points)

r - 14x - 1 = 0 => r(x) = 14x + 1 <------------- function notation, r(x)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

1) Horizontal axis = x

2) Vertical axis = y

3) Domain x > 0 = [0, ∞)

4) Range r > 0 = [0, ∞)

5) r-intercept=> x = 0 => r = 14(0) + 1 = 1 => (0,1)

6) slope: 14

7) x-intercept => r = 0 => 0 = 14x + 1 => x = -1/14 => (-1/14, 0)

Can anyone PLEASE help geometry is my worst subject!

Answers

You would have to bring it closer to the stage. At that point initially in the diagram, the angle is 25°. As you can see, the angle is small. But when you bring it closer to the stage, the opening would also increase. Otherwise, if you move it farther away, the opening becomes even smaller.

Find Y of the polygon

Answers

I that 'y' is 45 degrees because of alternate angles (I think its called).

If you look at the large triangle on the left where the corner angles are 35 and 80 and 20+an unknown angle. We can work out the missing angle by doing 180-80-35-20= 45.

And so if we use the fact that alternate angle must be equal then y= 45 degrees (I think!)

180° - 35° - 80° = 65° (sum of ∠s in a ∆)
65° - 20° = 45°
y = 45° (alt. ∠s)

HELP If f(x)=2x-12, then f^-1(x)=?

Answers

The inverse of f(x) is f^-1(x) is (x+12)/2

WILL GIVE BRAINLIEST!!!

Which of the following equations represents an inverse variation?

A.
6y = x
B.
1/2y = 1/x
C.
–x = y + 8
D.
y = 1/4x

Answers

An equation typically used to represent inverse variation is y = k/x, where k is the "constant of proportionality for inverse variation."

6y = x does not represent inverse variation, since y increases when x increases or x increases when y increases. This is an example of direct proportion and is thus not an answer.

1/2y = 1/x should be written as (1/2)y = 1/x, to emphasize that (1/2) is a coefficient of y. Let's solve for y to see what form the resulting equation has:

(1/2)y = 1/x => y = 2/x. This has the form y = k/x, and thus represents inverse variation. y decreases when x increases.

–x = y + 8 is a linear equation and thus could not possibly represent inverse proportion. The "offset," +8, also makes it impossible for –x = y + 8 to represent direct variation. Reject this answer choice.

y = 1/4x has the form y = (1/4)x, which resembles a rule for direct variation.

Note, however, that if you really meant y = 1 / (4x), or y = (1/4)(1/x), then this would be a case of inverse variation.

The only answer choice in this problem that clearly represents indirect variation is (1/2)y = 1/x (as I have already said, above).

Answer:5

Step-by-step explanation:

1/2y=1/x

y=2/x

what are the domain and range for each of the following functions? write your answer using inequality symbols of possible PLEASE HELP :) ( on both graphs)

Answers

The graph of a function, given in a coordinate axis, is (the set of) all the points (x, y) which appear on the coordinate axis.

The Domain is the set of all first coordinates, the x'es.
The Range is the set of all the second coordinates, the y's.

1.

We can see the points (-2, 0), (-1, 1) and (2, -1)

Domain={-2, -1, 2} Range={-1, 0, 1}

2.

We see that x can be any value such that -1<x≤1

and y can be any value such that -1≤y<2

so

Domain: x, such that -1<x≤1

Range: y, such that -1≤y<2

Please help ill give brainiest to who helps

Joey intends to roll a six-sided number cube 100 times. What probability model can he use to predict whether or not each roll will give a result that is divisible by 3? A. Each roll has a 0.117 probability of being divisible by 3. B. Each roll has a 0.333 probability of being divisible by 3. C. Each roll has a 0.5 probability of being divisible by 3. D. Each roll has a 0.667 probability of being divisible by 3.

Answers

there are 2 numbers that could be divisible by 3, either 3 or 6

so there is a 2/6 probability

2/6 = 0.333

so the answer is B

A function is given. f(x) = 5x − 7; x = 2, x = 3 (a) determine the net change between the given values of the variable.

Answers

There is one more value of x between 2 and 3, multiplied by 5, so 5 is the net change between the two variables.

You invest $300 in an account that has an interest rate of 1.3%, compounded monthly. How much money is in the account after 20 years? Round your answer to the nearest whole number.

Answers

The formula is
A=p (1+r/k)^kt
A future value?
P present value 300
R interest rate 0.013
k compounded monthly 12
T time 20 years
A=300×(1+0.013÷12)^(12×20)
A=389.02

Answer:

$389

Step-by-step explanation:

The formula for final value of compound interest is given by

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Here, we have

P = $300

r = 0.013

t = 20 years

n = 12

Substituting these values and find A

[tex]A=300(1+\frac{0.013}{12})^{12\cdot20}\\\\A\approx389[/tex]

Therefore, in 20 years, the account will have $389.

A video game club charges a fixed annual membership fee of $20 and $2 per video game rented. Let f(n) represent the total annual cost of renting n video games. Which of the following functions best represents the relationship between f(n) and n if the membership was increased by $15 the next year?
f(n) = 2n + 35
f(n) = 20n + 2
f(n) = 10n + 35
f(n) = 2n + 10

Answers

fixed annual membership fee of $20
$2 per video game rented.
Let f(n) represent the total annual cost of renting n video games
so
f(n) = 20 + 2n

if increased by $15 the next year
then
f(n) = 20 + 2n + 15
f(n) = 2n + 35

answer
f(n) = 2n + 35 (first choice)

Answer:

The correct answer is A, "f(n) = 2n + 35."

Step-by-step explanation:

I got it correct on the test. I hope this helps!

kelvin to fahrenheit f= 9/5(k-273.15) +32

Answers

The answer is in the image

Put these substances in order of density with the most dense first and the least dense last.

air
pumpkin pie
whipped cream
steel

Answers

Steel, Pumpkin Pie, Whipped Cream, Air

Answer: Hello there!

We know that:

[tex]density = \frac{mass}{volume}[/tex]

This means that two of two objects whit the same size ( volume) the heaviest one is the more dense object.

The 4 that we have here are:

Air, Pumpkin pie, Whipped cream, and Steel

It is easy to assume that the steel is the more dense object.

The pumpkin pie comes second

third is the whipped cream, which is cream with a lot of tiny air bubbles inside

the less dense object is the air.

then the order is:

Steel, pumpkin pie, whipped cream, air.

The ages of 3 brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brother's age by 48 years. What is the age of the younger brother?
A. 14
B. 18
C. 22
D. 26

Answers

n, n+2, n+4

3n=n+4+48

3n=n+52

2n=52

n=26

So the youngest brother is 26 years old.

Doug entered a canoe race. he rowed 3 1/2 miles in 1/2 hours what is his average speed in miles per hour

Answers

3.5miles/.5hours
7miles/1hour
7mph

.

Which of these is not an example of a geometric shape or form?

Answers

what are the opptions??

What are the vertical and horizontal asymptotes for the function f(x)= x^2+x-6/x^3-1?

Answers

The horizontal asymptotes will occur when x approaches ±oo

The easy way to see this is to divide all terms by the highest order variable...

(x^2/x^3 +x/x^3-6/x^3)/(x^3/x^3-1/x^3) and all of that mess boils down to

0/1 or just 0 as x approaches ±oo

So the horizontal asymptote is the horizontal line y=0

The vertical asymptote will occur when there is division by zero, which is undefined because it is not a real value.

x^3-1=0

(x-1)(x^2+x+1)=0

So this only occurs as x approaches -1, so the vertical asymptote is the vertical line x=-1.

Answer:

Hence, x=1 is the vertical asymptote

Hence, y=0 is the horizontal asymptote

Step-by-step explanation:

We have been given an expression

[tex]\frac{x^2+x-6}{x^3-1}[/tex]

For vertical asymptote we equate the denominator to zero that means

[tex]x^3-1=0[/tex]

[tex]\Rightarrow x^3=1[/tex]

[tex]\Rightarrow x=1[/tex]

Hence, x=1 is the vertical asymptote.

Now, for horizontal asymptote we compare the degree of numerator and denominator

Here degree of numerator is 2 and degree of denominator is 3

When degree of denominator is greater than degree of numerator y=0 is the horizontal asymptote

Hence, y=0 is the horizontal asymptote.

What is the slope of a line that is perpendicular to the line y= -1/2x +5?

A(-2

B(- 1/2

C( 1/2

D( 2

Answers

The answer is:

B. -1/2

Explanation:
The equation is in y= mx + b form, which means that m= slope and b= y-intercept. You can see that the slope is -1/2.

Determine the solution set of x^2-80=0.

Answers

x^2 - 80 = 0
x^2 = 80 ...take the square root of both sides, eliminating the ^2
x = (+-) sqrt 80
x = (+-) sqrt 16 * 5
x = (+-) 4 sqrt 5

so x = 4 sqrt 5 or x = -4 sqrt 5

Answer: The required solution set of the given equation is [tex]\{4\sqrt5,-4\sqrt5\}.[/tex]

Step-by-step explanation: We are given to determine the solution set of the following quadratic equation :

[tex]x^2-80=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Since the given equation does not contain the term involving x, so we will use the method of square root to solve the given equation.

The solution of equation (i) is as follows :

[tex]x^2-80=0\\\\\Rightarrow x^2=80\\\\\Rightarrow x=\pm\sqrt{80}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightarrow x=\pm\sqrt{16\times5}\\\\\Rightarrow x=\pm4\sqrt5.[/tex]

Thus, the required solution set of the given equation is [tex]\{4\sqrt5,-4\sqrt5\}.[/tex]

Segment RT is a mid-segment of triangle CDE. What is the length of segment CE?
A) 38 in.
B) 32 in.
C) 24 in.
D) 9.5 in.

Answers

Segment RT is a mid-segment of triangle CDE
so CE = 2(RT) = 2(19) = 38

answer
A. 38

can someone please help

Answers

I'm guessing 58.726, I did the Math a while ago.

How many ways can a librarian arrange 15 books on a top shelf if she has 20 books from which to pick?

Answers

[tex]20\cdot19\cdot\ldots\cdot7\cdot6=20,274,183,401,472,000 [/tex]

Answer: 20!/5!

Step-by-step explanation:

A puzzle contains a triangular piece with a base of 3 in. and a height of 4 in. A manufacturer wants to make 80 puzzles. Find the amount of wood used if each puzzle contains 20 triangular pieces.

Answers

I believe this question asks for the total amount of area of wood that is needed to make 80 puzzles.

The formula for area of triangle is given as:

A = (1 / 2) b h

where,

b = is the base of the triangle = 3 in

h = height of the triangle = 4 in

So calculating for area of 1 on triangle (A1):

A1 = (1 / 2) (3 in) (4 in)

A1 = (1 / 2) 12 in^2

A1 = 6 in^2

We are given that we are to make 80 puzzles and each puzzle has 20 triangles, therefore the total amount of triangles we need to make is:

n = 80 * 20

n = 1600

Therefore the total area needed (A) is:

A = A1 * n

A = 6 in^2 * 1600

A = 9,600 in^2

Find the length and width of the rectangle if the length is 12 units more then the width and the perimeter is 7 times the width

Answers

L = W + 12
P = 7W = 2L + 2W
7W = 2W + 24 + 2W
3W = 24
W = 8
L = 20

The cycling tour has 340 bottles of water for each week. There are ten people on the tour. How many bottles of water is that for each person per week?

Answers

34 is how many water bottles each person gets per week

A convex polyhedron has 30 edges and 8 fewer vertices than faces. How many faces does the polyhedron have? Euler’s formula: V + F = E + 2 12 18 20 24

Answers

Answer:

C or 20

Step-by-step explanation:

Just got the answer on Edge :)

Answer:

Step-by-step explanation:

One angle in a pair of complementary angles is 4/5th of the other . Find the measure of the two angles

Answers

complementary angles equal 90 degrees

angle 1 = x

angle 2 = 4/5x

x + 4/5x = 90

9/5x = 90

x = 90 / 9/5 = 50

angle 1 = 50 degrees

angle 2 = 4/5 x 50 = 40 degrees

Answer both please !

Answers

36) the equation would be: 44 x 0.63 =

37) 6.1% = 0.061

59150 x 0.061 = 3608.15 increase

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