What value of x makes this proportion true? 25/20 = x/4 A. 6 B. 9 C. 20 D. 5

Sergio [31]

Answer:

The values of p in the equation are 0 and 6

Step-by-step explanation:

First, you have to make the denominators the same. to do that, first factor 2p^2-7p-4 = \left(2p+1\right)\left(p-4\right)2p

2

−7p−4=(2p+1)(p−4)

So then the equation looks like:

\frac{p}{2p+1}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{5}{p-4}

2p+1

p

−

(2p+1)(p−4)

2p

2

+5

=−

p−4

5

To make the denominators equal, multiply 2p+1 with p-4 and p-4 with 2p+1:

\frac{p^2-4p}{(2p+1)(p-4)}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{10p+5}{(p-4)(2p+1)}

(2p+1)(p−4)

p

2

−4p

−

(2p+1)(p−4)

2p

2

+5

=−

(p−4)(2p+1)

10p+5

Since, this has an equal sign we 'get rid of' or 'forget' the denominator and only solve the numerator.

(p^2-4p)-(2p^2+5)=-(10p+5)(p

2

−4p)−(2p

2

+5)=−(10p+5)

Now, solve like a normal equation. Solve (p^2-4p)-(2p^2+5)(p

2

−4p)−(2p

2

+5) first:

(p^2-4p)-(2p^2+5)=-p^2-4p-5(p

2

−4p)−(2p

2

+5)=−p

2

−4p−5

-p^2-4p-5=-10p+5−p

2

−4p−5=−10p+5

Combine like terms:

-p^2-4p+0=-10p−p

2

−4p+0=−10p

-p^2+6p=0−p

2

+6p=0

Factor:

p=0, p=6p

7 0

3 years ago

Read 2 more answers

Please help I have a lot of homework and I just wanted this checked thank you so much I will mark brainliest I just need 13,14,1

patriot [66]

Answer:

13. 0

14. 4

15. 0

*12. 10

Step-by-step explanation:

Given values of each variable:

n = 2

q = -1.5

r = -3

v = -8

w = 4.5

x = 4

Since all variables' values are given, the process of simplification is simple:

13:

|-2x + 5n| + (n-x) First, plug in all known values.

|-2(4) + 5(2)| + (2 - 4) Simplify the expressions in each of the parentheses.

|-8 + 10| + (-2) Add -- Addition of a negative is subtraction.

|2| - 2 The absolute value of 2 is 2.

2 - 2 Subtract.

0

14:

4w - |2r + v| First, plug in all known values.

4(4.5) - |2(-3) + (-8)| Simplify the expressions in each of the parentheses.

18 - |-6 - 8| Subtract the values in the parentheses.

18 - |-14| The absolute value of -14 is 14.

18 - 14 Subtract.

4

15:

3|w - n| - 5|q - r| First, distribute the 3 and 5.

|3w - 3n| - |5q - 5r| Plug in all known values.

|3(4.5) - 3(2)| - |5(-1.5) - 5(-3)| Distribute--Subtraction of a negative is addition.

|13.5 - 6| - |-7.5 + 15| Simplify the expressions in each of the parentheses.

|7.5| - |7.5| The absolute value of 7.5 is 7.5.

7.5 - 7.5 Subtract.

0

8. - 11. are correct. However, 12. is 10 because you need to distribute before simplifying what's in the parentheses.

7 0

3 years ago

Triangle A′B′C′ is the image of triangle ABC after a dilation.

IceJOKER [234]

Answer:

3

Step-by-step explanation:

could the length of the first triangle to the length of the second triangle

7 0

2 years ago

Solve the equation 10r – 2 = 28 for r.

gulaghasi [49]

Answer:

r=3

Step-by-step explanation:

First we add 2 to both sides.

That leaves us with 10r=30

Then we can divide both sides by 10

r=3

7 0

3 years ago

Find the fifth term in the geometric

inna [77]

Answer:

162

Step-by-step explanation:

2, 2*3, 2*3*3, 2*3*3*3, 2*3*3*3*3=162

8 0

3 years ago