All categories

3 years ago

Which is a correct first step in solving 5 – 2x < 8x – 3?

Mathematics

2 answers:

ElenaW [278]3 years ago

4 0

Answer:

Step-by-step explanation:

I would add 2x to both sides of the inequality:-

5 - 2x + 2x < 8x + 2x - 3

5 < 10x - 3

exis [7]3 years ago

3 0

$5 < 6x - 3$

You might be interested in

What is two thirds or 2/3 of the whole 120

Zepler [3.9K]

It would be 80 because 2 times 120 is 240. 240 divided by 3 is 80

3 0

2 years ago

What is the interquartile range (IQR) of the data set? a. 6 b. 7 c. 12 d. 13

Effectus [21]

Answer:

Step-by-step explanation:

#456sghSDFG

4 0

3 years ago

Read 2 more answers

Find the inverse of ????−7 −2

Masja [62]

Answer:

$A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

Step-by-step explanation:

$A=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}$

$det\ A=-7\times 1-(-2)\times 4\\\Rightarrow det\ A=1$

$A^{-1}=\frac{1}{det\ A}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\frac{1}{1}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

$\therefore A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

$A.A^{-1}=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}\times \begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}\left(-7\right)\cdot \:1+\left(-2\right)\left(-4\right)&\left(-7\right)\cdot \:2+\left(-2\right)\left(-7\right)\\ 4\cdot \:1+1\cdot \left(-4\right)&4\cdot \:2+1\cdot \left(-7\right)\end{pmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}1&0\\ 0&1\end{pmatrix}$

Hence, confirmed

6 0

3 years ago

According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increa

qwelly [4]

Canton: 7,720 and increases at a rate of 80 people per year.
Holly Spring: 3,200 and increases at rate of 120 people per year.

Let x be the number of years.

Canton = 7,720 + 80x
Holly Spring = 3,200 + 120x

7,720 + 80x = 3,200 + 120x
80x - 120x = 3,200 - 7720
-40x = -4520
x = -4520 / -40
x = 113

It would take 113 years before the populations are equal.

7,720 + 80x = 3,200 + 120x
7,720 + 80(113) = 3,200 + 120(113)
7,720 + 9,040 = 3,200 + 13,560
16,760 = 16,760

5 0

2 years ago

Read 2 more answers

A backpack is on sale for 30% off. If the sales price is $15.75, what is the original price?

Kryger [21]

Answer:

Your answer is 16.05

Step-by-step explanation:

15.75 + 0.3 = 16.05

16.05 - 0.3 = 15.75

5 0

3 years ago