When we see the phrase "rate of change" then it means that we are looking for the slope. So, we will need to know the formula for finding slope or the rate of change.

$slope=\frac{y_2-y_1}{x_2-x_1}$

Now, let's use this equation to solve for the rate of change of each question.

Problem 1:

$Slope=\frac{2-\frac{4}{3}}{0-(-1)}\\\\Slope=\frac{\frac{2}{3}}{1}\\\\Slope=\frac{2}{3}$

The rate of change of this equation is 2/3

Problem 2:

$Slope=\frac{4-2}{1-0}\\\\Slope=\frac{2}{1}\\\\Slope=2$

The rate of change for this equation is 2

Problem 3:

$Slope=\frac{10-4}{2-1}\\\\Slope=\frac{6}{1}\\\\Slope=6$

The rate of change for this equation is 6

4 0

2 years ago

I need this, please. I am willing to give brainly

IgorLugansk [536]

Answer:

x=28

Step-by-step explanation:

180= 38 + (4x+30)

142= (4x+30)

112=4x

x=28

4 0

2 years ago

Which of the following is the product

choli [55]

Answer:

$\text{\bf{A.}}\quad\dfrac{3x^2}{x^2-6x-7}$

Step-by-step explanation:

As with multiplying any rational expressions, the numerator of the result is the product of the numerators, and the denominator of the result is the product of the denominators.

$\dfrac{3x}{x+1}\cdot\dfrac{x}{x-7}=\dfrac{(3x)(x)}{(x+1)(x-7)}=\dfrac{3x^2}{x^2-6x-7}$

_____

The denominator product is found using the distributive property. Each of the terms of one factor is multiplied by the other factor.

$(x+1)(x-7)=x(x-7)+1(x-7)\\\\=x^2-7x+1x-7=x^2-6x-7$

8 0

3 years ago

What are the following terms most accurately describes the fraction 2/5

Nuetrik [128]

Answering guessing it’s proper fraction

Step-by-step explanation:

6 0

3 years ago