Please help i will give you 10 points

Do you think the equations (x−1)(x+3)=17+x and (x−1)(x+3)+500=517+x should have the same solution set? Why?

oksano4ka [1.4K]

Answer:

Those two pair of equations have the same solution set.

Step-by-step explanation:

There are two equations

(x-1)(x+3)=17+x ..... (1) and

(x-1)(x+3)+500=517+x ...... (2)

We have to check the same solution set will be there for equations (1) and (2) or not.

Now, we are going to rearrange the equation (2).

(x-1)(x+3)+500=517+x

⇒ (x-1)(x+3)=517-500+x

⇒(x-1)(x+3)=17+x

This is the same equation as equation (1).

Therefore, there will be the same solution set for equations (1) and (2). (Answer)

There are two equations

(x-1)(x+3)=17+x ..... (3) and

3(x-1)(x+3)+500=51+3x ...... (4)

We have to check the same solution set will be there for equations (3) and (4) or not.

Now, we are going to rearrange the equation (4).

3(x-1)(x+3)+500=51+3x

⇒ 3(x-1)(x+3)=3(17+x)

⇒(x-1)(x+3)=17+x

This is the same equation as equation (3).

Therefore, there will be the same solution set for equations (3) and (4). (Answer)

7 0

3 years ago

Bags of maple granola cost $2 more than apple granola

Brilliant_brown [7]

Answer:

a + m = 2+ a

Step-by-step explanation:

We don't know the amount of apple granola and the amount of the maple granola. So we just set an equation.

3 0

3 years ago

I don't know how to solve this 2/4 + 3/8=?

algol [13]

Answer:

7/8

Step-by-step explanation:

look it up

your wel3

6 0

2 years ago

Read 2 more answers

A spinner has 6 equally divided sections labeled A, B, C, D, E and F. After spinning the spinner, a number cube is rolled. What

bagirrra123 [75]

Answer: $\dfrac{2}{9}$

Step-by-step explanation:

Given

The spinner has 6 equal sections A, B, C, D, E, and F

The two events occurred one after the other. So, the probability is the product of the probabilities of each event.

There are two consonants in the given 6 letter

The probability of landing over a consonant is

$P_1=\dfrac{2}{6}$

The number greater than 2 in a cube are 3,4,5,6

So, probability corresponding to it

$P_2=\dfrac{4}{6}$

So, the required probability is

$\Rightarrow P=P_1\times P_2\\\Rightarrow P=\dfrac{2}{6}\times \dfrac{4}{6}\\\\\Rightarrow P=\dfrac{8}{36}\\\\\Rightarrow P=\dfrac{2}{9}$

8 0

3 years ago

The total income from the sale of cheeseburgers was what percent greater in 2004 than in 2003?

sveticcg [70]

$\bf \begin{array}{|c|c|c|ll} \cline{1-3} year&quantity&price\\ \cline{1-3} 2003&Q&P\\&&\\ 2004&20\%Q+Q&\\&&\\ &\frac{20}{100}Q+Q&\\&&\\ &1.2Q&\\&&\\ &&10\%P+P\\ &&\frac{10}{100}P+P\\&&\\ &&1.10P\\ \cline{1-3} &&\\ &(1.2Q)&(1.10P)\\ \cline{1-3} \end{array}\qquad \begin{array}{llll} \stackrel{\textit{revenue for 2003}}{(Q)(P)}\implies QP\\\\ \stackrel{\textit{revenue for 2004}}{(1.2Q)(1.10P)}\implies 1.32QP \end{array}$

7 0

3 years ago