Answer:
Step-by-step explanation:
The average rate of change is the slope. Slope has a formula that is the change in y over the change in x, which is a fraction. The only time a fraction can have a vlue of 0 is where the numerator of the fraction is equal to 0 (since we are not allowed to have a denominator of 0). If the change in y is in the top of the slope fraction, then we have to find the interval where the y values are the same. I'll show you one where the y values are not the same so you can compare it to the slope where the y values are the same. We will find the slope of choice A.
When x = -3, y = 0 so the coordinate is (-3, 0).
When x = 5, y = 5 so the coordinate is (5,4). Now let's find the slope (aka average rate of change) between those 2 coordinates:
and the top of the fraction is a 1, not a 0, so the average rate of change between these 2 points is 1/2, not 0. Now let's do D.
When x = -3, y = 0 so the coordinate is (-3, 0).
When x = -1, y = 0 so the coordinate is (-1, 0). The slope between these 2 points is
This fraction is equal to 0 because the numerator is 0. Choice D is the one you want.
Answer:
Six over Seven
Step-by-step explanation:
The ratio of the side measures are 6:7:9.
Let's assume length of three sides of the triangle is 6x, 7x and 9x.
Given,perimeter of a triangle is 110 inches.. Perimeter is the sum of all three sides of the triangle. So, we can set up an equation as follows:
6x+7x+9x= 110
22x =110
Dividing each sides by 22.
x=5.
Now we can plug in x=5 in all the expressions of sides.
So, 6x=6(5)=30,
7x=7(5)=35
9x=9(5)=45.
So, the sides of the triangle are 30 inches, 35 inches and 45 inches.
-3x - 4y = 2
<u>8y</u> = <u>-6x - 4</u>
8 8
y = -0.75x - 0.5
-3x - 4(-0.75x - 0.5) = 2
-3x + 3x + 2 = 2
0x + 2 = 2
<u> - 2 - 2</u>
<u>0x</u> = <u>0</u>
0 0
x = 0
-3(0) - 4y = 2
0 - 4y = 2
<u>- 0 - 0</u>
<u>-4y</u> = <u>2</u>
-4 -4
y = 0.5
(x, y) = (0, 0.5)
