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3 years ago

Write an equation that has varibles on both sides and has a solution of -3

Mathematics

1 answer:

lawyer [7]3 years ago

8 0

5x = 3x - 6

That is one equation that will give you a solution of x = -3 and has variables on both sides.

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Solve equation and write reason for each step x+25=45

alexdok [17]

just do 45-25= x

x= 20

4 0

3 years ago

Read 2 more answers

Factor 7(x − 3)2 − 4(x − 3) − 3 completely.

Nezavi [6.7K]

$7(x-3)^2-4(x-3)-3\\\\substitute\ t=x-3,\ then\ we\ have\\\\7t^2-4t-3\\\\a=7;\ b=-4;\ c=-3\\\\\Delta=b^2-4ac\\\\\Delta=(-4)^2-4\cdot7\cdot(-3)=16+84=100\\\\t_1=\dfrac{-b-\sqrt\Delta}{2a};\ t_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\t_1=\dfrac{-(-4)-10}{2\cdot7}=\dfrac{4-10}{14}=\dfrac{-6}{14}=-\dfrac{3}{7}\\\\t_2=\dfrac{-(-4)+10}{2\cdot7}=\dfrac{4+10}{14}=\dfrac{14}{14}=1\\\\7t^2-4t-3=7\left(t+\dfrac{3}{7}\right)(t-1)=(7t+3)(t-1)\\\\=(7(x-3)+3)(x-3-1)=(7x-21+3)(x-4)\\\\=\boxed{(7x-18)(x-4)}$

7 0

3 years ago

Find the geometric mean of four and 10

lawyer [7]

The Geometric mean of 4 and 10 is 6.32

<u>Explanation:</u>

Given:

Two numbers are 4 and 10

Geometric mean, GM = ?

We know,

GM = $\sqrt[n]{a_1 X a_2}$

Where,

n = 2

Substituting the value we get"

$GM = \sqrt[2]{4 X 10} \\\\GM = \sqrt[2]{40} \\\\GM = 6.32$

Thus, the Geometric mean of 4 and 10 is 6.32

4 0

3 years ago

Is 0.8 a rationol number

olga55 [171]

Hello.

The answer is: yes

A rational number is any number that can be repesented as a fraction. So every integer is also a rational number (because it can be written as a fraction with the denominator 1)

Have a nice day

6 0

3 years ago

Read 2 more answers

A website allows users to download television episodes and music videos. All television episodes cost the same to download, and

lisov135 [29]

For Ryan it would be 5.95=4t+m
For Seth it would be 6.95=3t+2m
1.So next you would figure out just one of the prices by moving the equation around and getting just one variable on each side: m=5.95-4t
2. Substitute that into the second equation and solve: 6.95=3t+2(5.95-4t) then
6.95=3t+11.9-8t (subtract 11.9 from each side) -4.95=-5t (divide each side by 5) t=.99
3. now you know each each tv show is 99 cents. now substitute that into the equation and solve: 6.95=3(.99)+2m then 6.95=2.97+2m (subtract 2.97 from each side) 3.98=2m (divide each side by 2) m=1.99
4. now you know each music video is $1.99 each. check your answer by substituting in each equation:
5.95=4(.99)+(1.99) 5.95=5.95 yes!
6.95=3(.99)+2(1.99) 6.95=6.95 yes!
5. solve in a full sentence: The website charges $0.99 to download a television show and $1.99 to download a music video

6 0

3 years ago