If the expression ax(4x − 2y − 3) simplifies to 24x^2− 12xy − 18, what must be the value of a?

Answers

Answer 1

Given:

Consider the expression [tex]ax(4x-2y-3)[/tex] simplifies to [tex]24x^2-12xy-18x[/tex].

To find:

The value of a.

Solution:

We have,

[tex]ax(4x-2y-3)=24x^2-12xy-18x[/tex]

Using distributive property, we get

[tex]4ax^2-2axy-3ax=24x^2-12xy-18x[/tex]

On comparing the coefficients of [tex]x^2[/tex] from both sides, we get

[tex]4a=24[/tex]

[tex]\Rightarrow a=6[/tex]

Therefore, the value of a is 6.


Related Questions

Choose the correct correspondence R OK​

Answers

What is the question

answer asap for brainliest

Answers

Answer:

(2,4)

Step-by-step explanation:

Plug in 2 for x and plug in 4 for y and the equation should be correct

Adding and subtracting fractions show the working and answer

Answers

Answer:

1) 1/2

2)7/10

3)11/12

4)4/96

5)43/30

6)5/40

I will do one only. You gotta do your own homework.

The length of the diagonal of a squere is 36 feet. Find the length of the side of the square.

Answers

Answer:

Length of the side of a square is 18 sqrt(2)

Step-by-step explanation:

a and b are the sides of square and c is the diagonal.

a^2+b^2=c^2

a^2+b^2= 36^2

As all sides are equal we can take b=a

2a^2=36^2

a^2= (36×36)/2

a^2 = 18×36 = 2×9×9×4

Taking squareroot on both sides we get

a= sqrt(2×9×9×2×2)

a=18 sqrt(2)

Which choice describes the value of m when -5(m + 1) ≤ 23?
1. m ≥ -28/5
2. m ≤ -28/5
3. m ≥ -18/5
4. m ≤ -18/5

Answers

Answer:

Number 1

Step-by-step explanation:

-5(m + 1) ≤ 23

Distribute

-5m - 5 ≤ 23

-5m ≤ 23 + 5

-5m ≤ 28

-m ≤ 28/5

Since we divide by a negative the ≤ flips to ≥

m ≥ -28/5

Hope this helps :3

please help me asap​

Answers

Answer:

3)7/12

4)2*14/25

5)25

hope my effort will help you in some way

Answer:

Step-by-step explanation:

3)   [tex]1\frac{3}{4}[/tex] ÷ 3 = [tex]\frac{7}{4}[/tex] ÷ 3

                [tex]= \frac{7}{4} * \frac{1}{3}\\\\= \frac{7*1}{4*3}\\\\= \frac{7}{12}[/tex]

4) [tex]1\frac{3}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{8}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex]

             [tex]= \frac{8}{5} * \frac{8}{5}\\\\= \frac{64}{25}\\\\= 2\frac{14}{25}[/tex]

5) 10 ÷ [tex]\frac{2}{5} = 10 * \frac{5}{2}[/tex]

              = 5 * 5

              = 25

please help jjjsjssioaozkzksnsnsns

Answers

its 4 lemme know if you need help again

What is 4.207 as a percent help me pls

Answers

Answer:

420.7%

Step-by-step explanation:

please help
4x-8 by 4 is ???​

Answers

This is your perfect answer

UT is the midsection of triangle QRP. If UT= x+9 and QP=4x-27, what is the length of QP?

Answers

Answer:

Step-by-step explanation:

4x - 27 = 2(x + 9)

2x = 27 + 18

x = 45 ÷ 2 = 22.5

QP = 4(22.5) - 27 = 63 units

Solve the proportion 20/3=?/6

Answers

Answer:

40

Step-by-step explanation:

3x2=6 so 20x2=40. It is a 6.66:1 ratio.

The value of the unknown number in the equation 20/3 = ?/6 is 40.

What is the value of the missing number?

Given the equation in the question:

20/3 = ?/6

To solve the equation 20/3 = ?/6, first represent the missing number with x:

20/3 = x/6

Cross-multiply and solve for the unknown value.

x × 3 = 20 × 6

Multiply 3 and x:

3x = 20 × 6

Multiply 20 and 6:

3x = 120

Next, divide both sides by 3:

3x/3 = 120/3

x = 120/3

x = 40

Therefore, the value of x is 40.

Learn more about equations here: brainly.com/question/14686792

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What is the simplified value of the expression below? One-third divided by two-thirds 0 One-third One-half 1

Answers

Answer:

It is one half 1

                    2

Step-by-step explanation:

did test on edg 2020

Answer:

c on edge 2021  

Step-by-step explanation:

1/2

In ΔUVW, \overline{UW} UW is extended through point W to point X, \text{m}\angle UVW = (3x+16)^{\circ}m∠UVW=(3x+16) , \text{m}\angle WUV = (2x+8)^{\circ}m∠WUV=(2x+8) and \text{m}\angle VWX = (8x-18)^{\circ}m∠VWX=(8x−18) Find \text{m}\angle WUV.m∠WUV.

Answers

Applying the exterior angle of a triangle theorem, m<WUV = 36°

What is the Exterior Angle of a Triangle Theorem?

The exterior angle of a triangle theorem states that the measure of the angle formed, when one side of a triangle is extended, is equal to the sum of the opposite interior angles of that triangle.

Applying the exterior angle of a triangle theorem:

m<WUV + m<UVW = m<VWX

Substitute

2x + 8 + 3x + 16 = 8x - 18

Add like terms

5x + 24 = 8x - 18

5x - 8x = -24 - 18

-3x = -42

-3x/-3 = -42/-3

x = 14

m<WUV = 2x + 8

Plug in the value of x

m<WUV = 2(14) + 8

m<WUV = 28 + 8

m<WUV = 36°

Therefore, applying the exterior angle of a triangle theorem, m<WUV = 36°

Learn more about the exterior angle of a triangle theorem on:

https://brainly.com/question/11356657

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What is the probability of obtaining two heads in a row when flipping a​ coin?

Answers

Answer:

0.25000

Step-by-step explanation:

It’ll be .25 because 0.5x0.5=.25

THIS IS SUPER EASY PLEASE HELP!
A rectangle is 7 meters longer than it is wide. If the area is 84 square meters, find the dimensions of the rectangle.

Answers

Answer:

w=38.5

l=45.5

Step-by-step explanation:

I'm not sure but I hope this helps! *You may want to check my math*

I took the area and subtracted 7, then dived it by 2. Then add back the 7 to my answer to the length.

alyssa does jumping jacks in her spare time she does 300 jumping jacks on 2.5 minutes how many jumpin jacks can she do per minute?​

Answers

The answer to this question is 120 hope this helps

Anyone know this???

Answers

The answer is A

Im guessing
Answer:  g(x) = (x-1)^2 + 1,  choice D

================================================

Explanation:

To shift f(x) to the right three units, we need to replace every x with x-3

f(x) = (x+2)^2 + 1

f(x-3) = (x-3+2)^2 + 1 .... replace x with x-3

f(x-3) = (x-1)^2 + 1

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

The vertex of f(x) is (-2,1). The vertex of g(x) is (1, 1). This is one example showing every point moves three units to the right when going from f(x) to g(x).

Triangle A (1, 1), B (4, 4), C (6, 2) is

Answers

Answer:

Is a obtuse triangle

Step-by-step explanation:

It would be an obtuse triangle.

Sawyer got a gift card for his birthday and
wants to use it for a new video game. The game
costs $60, but his gift card only covers 50% of
that. His mom agrees to cover the rest, but says
he must pay the money back in three weeks.
How much does he have to pay each week if he
pays the same amount each week?

Answers

Answer:

Sawyer has to pay $10 each week to pay his mom back

Step-by-step explanation:

Sawyer got a gift card that he wants to use to purchase a video game that costs $60, but he can only cover 50% of it, that is, $30.

The remaining $30 will be covered by his mom, given he pays the money back in three weeks.

If he pays the same amount each week, then each week he should pay $30 / 3 = $10

Sawyer has to pay $10 each week to pay his mom back

Find the Unit Rate: Twenty emails in 5 minutes.

Answers

Answer:

4 emails per minute

Step-by-step explanation:

20/5=4

Can anybody help me with this question?

Answers

Answer:

Your answer is c hope this helps

Order of operation with Integers

Answers

Answer:

8

Step-by-step explanation:

we have to follow PEDMAS.

what we have to do in each operation:

Parenthesis ~  100 + 8 to the second power

Exponents ~ 10 to the 2nd power, 8 to the 2nd power, 2 to the 3rd power

Multiplication  ~  none

Division ~  10 to the 2nd power - (100 + 8 to the second power) divided by 2 to the 3rd power

Addition ~ 100 + 8 to the 2nd power

Subtraction ~ 10 to the 2nd power - (100+8 to the second power)

doing the work:

we start with P: but in what we have to do in the Parenthesis, there is an exponent and addition. we do the exponent first. 8 to the second power is 64. now we can add. 100 + 64 = 164.

E: we did the 2nd exponent, but we need the other 2 for later. 10 to the 2nd power is 100, and 2 to the 3rd power is 8.

we can skip M because there isn't any multiplication to do.

D: we have to do 10 to the 2nd power - (100 + 8 to the second power) first. 100-164= 64. now we can devide. 64 devided by 8 = 8

A: we already did the addition in the parenthesis part.

S: we already did the addition in the parenthesis part.

Solve for p in the literal equation 8p + 3r = q.

Answers

Answer:

Step-by-step explanation:

8p + 3r = q

     8p  = q - 3r

      p   = (q-3r)/8

Identify the following characteristics and
graph the equation.
f(x) = 3(x - 2)2 + 4

Answers

Answer:

6(x-2)+4

Slope=6

Step-by-step explanation:

A female grizzly bear weighs 500 pounds after hibernating for 6 months, she weighs only 350 what is the mean monthly change in weight

Answers

Answer:

sorry just need points

Step-by-step explanation:

A rectangular field has an area of 1450 square feet. If the width is 3 times greater than the length which of the following is the length of each field

Answers

Length would be 362.5
He width would be 1087.5

Hope this helps :)

Mark as brainliest!!

on her 120 point final exam latonja needs above a 90% to secure an A fot the course. If she scored 109 points, did she earn an A? Justify your answer

Answers

Answer:

yes

Step-by-step explanation:

a 90 percent would be 108

Answer:

Yes she earn an A Because 90% of 120 is 108 which means that she scored 109 which means  90% of 120 is 108 which means that she scored 109  in which means approximately 91% proving that she got an A

Step-by-step explanation:

Magic

Need help finding the missing angle measure

Answers

Answer:

125

Step-by-step explanation:

(n-2)180

(6-2)180

=720

720-120-110-100-130-135

=125

Answer:

Step-by-step explanation:

It is a six sided figure sum of all angles should be 720 degree.

595 +x=720

x=720-595

x=125 degree

Another method

Sum of interior angles of a polygon is

= (n-2)×180=(6-2)×180= 720 degree

half of the quantity of 6 less than a number f is 4

Answers

Answer:

I believe 10

Step-by-step explanation:

the reason I believe it is 10 is because that is the main mathematical explanation for this equation

Find a 95% confidence interval for the true population proportion.

In a survey of 765 employees of a large company, 30% said that they had high job satisfaction.

Answers

Answer:

The 95% confidence interval for the true population proportion is (0.27, 0.33).

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion of is:

[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information given is:

[tex]\hat p=0.30\\n=765\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is, 1.96.

Compute the 95% confidence interval for the true population proportion as follows:

[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

    [tex]=0.30\pm 1.96\times\sqrt{\frac{0.30(1-0.30)}{765}}\\\\=0.30\pm 0.0325\\\\=(0.2675, 0.3325)\\\\\approx (0.27, 0.33)[/tex]

Thus, the 95% confidence interval for the true population proportion is (0.27, 0.33).

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