All categories

3 years ago

What is the value of x in the equation 3x - 4 (2x - 5) = 15

Mathematics

2 answers:

Rufina [12.5K]3 years ago

6 0

Answer: x = 1

Step-by-step explanation:

Given

3x - 4 (2x - 5) = 15

Expand parentheses and apply the distributive property

3x - 4 · 2x - 4 · (-5) = 15

3x - 8x + 20 = 15

Combine like terms

(3x - 8x) + 20 = 15

-5x + 20 = 15

Subtract 20 on both sides

-5x + 20 - 20 = 15 - 20

-5x = -5

Divide -5 on both sides

-5x / -5 = -5 / -5

$\boxed{x=1}$

Hope this helps!! :)

Please let me know if you have any questions

Zepler [3.9K]3 years ago

3 0

Hey there! I'm happy to help!

Here is our equation

3x - 4 (2x - 5) = 15

First, we will sue the distributive property to remove the parentheses. The term outside the parentheses is -4, so that is what we multiply the insides by.

3x-8x+20=15

We combine our like terms (our x-values).

-5x+20=15

We subtract 20 from both sides.

-5x=-5

We divide both sides by -5.

x=1

Have a wonderful day and keep on learning! :D

You might be interested in

7.3 Times 10 to the power of two

navik [9.2K]

Answer: the answer is 730

Step-by-step explanation:

Hope this helps you! Have a good day! :)

8 0

3 years ago

The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T

ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

$(x-3)^{2} + (y+4)^{2} = 9$ (i)

The general equation of circle is mentioned below,

$(x-h)^{2} + (y-k)^{2} = r^{2}$ (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

$(x-3)^{2} = (x-h)^{2}$

$(x-3) = (x-h)$

$h = 3$

$(y+4)^{2} = (y-k)^{2}$

$(y+4) = (y-k)$

$k = -4$

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0

3 years ago

Read 2 more answers

Fined the slope of this table

Readme [11.4K]

Answer:

−9

Step-by-step explanation:

$\frac{y2-y1}{x2-x1} \\\\= \frac{0-49}{0-(-5)} \\\\= \frac{-45}{5} \\= -9$

3 0

3 years ago

Read 2 more answers

Given the following, what is the probability of choosing an purple marble and flipping tails?

MrMuchimi

Your answer is correct!! 2/3

4 0

3 years ago

vivi is a drummer for a band. she burns 756 calories while drumming for 3 hours. she burns the same number of calories each hour

Airida [17]

Answer:

252 cph

Step-by-step explanation:

756 divide by 3 is 252

6 0

3 years ago