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3 years ago

Write an equivalent expression for: 3(x-2) + 4(2x-3) Explain the steps you follow to find the equivalent expression.

1 answer:

3 0

3(x-2)+4(2x-3)
Use distributive property
3(x)-3(2)+4(2x)-4(3)
=3x-6+8x-12
Combining like term
3x+8x-6-12
=11x-18. As a result, 11x-18 is another expression that equivalent for 3(x-2)+4(2x-3). Hope it help!

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How would you write an equation of a circle that is (-3,2) with a radius of 5

ivann1987 [24]

Answer:

(x+3)^2 + (y-2) ^2 = 25

Step-by-step explanation:

Equation of a circle: (x-h)^2 + (y-k)^2 = r^2

Center at (h,k)

Radius=r

7 0

3 years ago

What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form. A. Show your work. B. Is the product of 2x -

VikaD [51]

Answer:

A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.

6x³ - 5x² - 39x + 35 = 0

B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?

No it is not.

Step-by-step explanation:

A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.

(2x - 5) (3x² + 5x - 7)

= 2x(3x² + 5x - 7) -5(3x² + 5x - 7)

= 6x³ + 10x² - 14x -15x² - 25x +35

Collecting like terms

= 6x³ +10x² - 15x² - 14x - 25x +35

= 6x³ - 5x² - 39x + 35

In standard form

6x³ - 5x² - 39x + 35 = 0

B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?

First we find the product of

5x - 2 and 3x² + 5x - 7?

(5x - 2) (3x² + 5x - 7)

5x(3x² + 5x - 7) -2(3x² + 5x - 7)

15x³ + 25x² - 35x - 6x² -10x + 14

Collect like terms

15x³+ 25x² - 6x² -35x - 10x + 14

15x³ + 19x² - 45x + 14 = 0

Hence, the product of 5x - 2 and 3x^2 + 5x - 7

= 15x³ + 19x² - 45x + 14 = 0

The product of 2x -5 and 3x^2 + 5x -7 = 6x³ - 5x² - 39x + 35 = 0

Comparing both products, we can see that

The product of 2x -5 and 3x^2 + 5x -7 ≠ the product of 5x - 2 and 3x^2 + 5x - 7

6 0

3 years ago

the school swim team has 80 swimmers. the ratio of seventh grade swimmers to all swimmers is 5:16. and i have to write a proport

sertanlavr [38]

Given that the total number of swimmers is 80, and the ratio of the seventh grade swimmers to all swimmers is 5:16. You will know that answer for this through cross multiplication. So let's put it this way:
5 ?
-- ----
16 80
Multiply 80 by 5 and you get 400 then divide this by 16 and you get 25.
Therefore, out of 80 swimmers, there are 25 seventh grade swimmers. Hope this answer helps.

3 0

3 years ago

3(x-8) = -29.7 please solve for x

GrogVix [38]

Answer:

The answer is x= -1.9.

Use the 3 to multiply the number and the letter in the bracket... which is...

3x-24=-29.7.

3x=-29.7+24.

3x=-5.7.

x=-5.7/3.

x=-1.9.

6 0

3 years ago

On the graph of the equation 3x + 2y = 18, wgat is the value of the y-intercept

Yuliya22 [10]

The value of the y intercept is y=9

3x +2y = 18
3(0) + 2y = 18 (0)
18/2=9

3 0

4 years ago

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