Answer:
For the table on the left the rate of change is ![22.8](https://tex.z-dn.net/?f=22.8)
For the table on the left the rate of change is ![-2](https://tex.z-dn.net/?f=-2)
Step-by-step explanation:
The range of change is the slope. The slope can be found with the following formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
<u>For the table on the left</u>
Choose two points. In this case you can choose (-1,-24), (4,90)
You can say that:
![y_2=-24\\y_1=90\\\\x_2=-1\\x_1=4](https://tex.z-dn.net/?f=y_2%3D-24%5C%5Cy_1%3D90%5C%5C%5C%5Cx_2%3D-1%5C%5Cx_1%3D4)
Substituting these values into the formula, you get:
![m=\frac{-24-90}{-1-4}\\\\m=22.8](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-24-90%7D%7B-1-4%7D%5C%5C%5C%5Cm%3D22.8)
<u>For the table on the right</u>
Choose two points. You can choose (3,-6), (-6,12)
You can identify that:
![y_2=-6\\y_1=12\\\\x_2=3\\x_1=-6](https://tex.z-dn.net/?f=y_2%3D-6%5C%5Cy_1%3D12%5C%5C%5C%5Cx_2%3D3%5C%5Cx_1%3D-6)
Substituting these values into the formula, you get:
![m=\frac{-6-12}{3-(-6)}\\\\m=-2](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-6-12%7D%7B3-%28-6%29%7D%5C%5C%5C%5Cm%3D-2)
Answer:
Mike is not correct.
Step-by-step explanation:
The probability is an "out of" statement. meaning out of all 6 marbles if 2 are red how what is the probability of choosing a red marble the answer is 2 out of 6 or 1/3 or 0.3333333etc. For green the probability is 1 out of 6 or 1/6 or 0.16666666etc
Answer: C. (-7x+9)(x-2)
Step-by-step explanation:
1. Factor out the negative sign.
−(7x^2+5x−18)
2. Split the second term in 7x2+5x−18 into two terms.
−(7x^2+14x−9x−18)
3, Factor out common terms in the first two terms, then in the last two terms.
−(7x(x+2)−9(x+2))
4. Factor out the common term x+2x+2x+2.
−(x+2)(7x−9) or (-7x+9)(x-2)
Y=mx+b
m=(y2-y1)/(x2-x1)
m=(-4-4)/(3-1)
m=-4
First one is correct because the m value match my answer.