The average rate of change from x = -1 to x = 2 is 2
<u>Solution:</u>
Given function is:
f(x) = 2x - 1
We have to find the average rate of change from x = -1 to x = 2
<em><u>The average rate of change is given as:</u></em>
<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>
<em><u>Find f(2) and f( - 1)</u></em>
<em><u>Substitute x = 2 in given function</u></em>
f(2) = 2(2) - 1 = 4 - 1 = 3
<em><u>Substitute x = -1 in given function</u></em>
f( - 1) = 2(-1) - 1 = -2 - 1 = -3
<em><u>Substitute the values in above formula,</u></em>
Thus average rate of change from x = -1 to x = 2 is 2
Answer:
12 servings
Step-by-step explanation:
since each serving is 1/2 a cup and if the bag of veggies contains 6 cups, then if you divide 6/0.5 it is 12 servings
Answer:
C and D
Step-by-step explanation:
in equations y=4x+9 and y=4x-9 you have the same slope (4) so paralleling is guaranteed.
y=9 and y=18 you can understand as y=0x+9 and y=0x+18, so in this situation you have the same slope (0), so lines y=9 and y=18 are parallel too.
Answer:
Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
-
The adjacent to the angle ∠60° is 1/2.
- The opposite to the angle ∠60° is y.
The hypotenuse = x
<u>Determining the value of x:</u>
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = 1/2 and hypotenuse = x
∵ cos (60°) = 1/2
Dividing both sides by 2
Simplify
Thus, the value of hypotenuse x is:
x = 1
<u>Determining the value of y:</u>
Using the trigonometric ratio
sin 60° = opposite / hypotenuse
As we have already determined the value of hypotenuse x = 1
substituting opposite = y and hypotenuse = 1
sin 60° = y/1
y = 1 × sin 60°
∵ 
Therefore, the value of y is:
Summary:
Answer:
a rise of 20 degrees
Step-by-step explanation:
since it started at -2 degrees, you have to add enough to get out of the negatives.
-2 + 2= 0, then 0+18 to get to the 18°
-2 + 20 = 18
