Answer:
y=1/3x + 2
Step-by-step explanation:
Since slope intercept form is y=, I first added x to each side to get x on the other side. Then I divided each side by 3 to get y, and ended up with y=1/3x+2 as my answer.
(hope this helps)
I think the domain is -1 and the range is 2. You may want to double check though.
Answer: The average rate of change is 6.First, plug in each value of <em>t</em> into the function, v(t) to find there coordinate pairs.
v(2) = (2)^2 - (2) + 10
v(2) = 4 + 8
v(2) = 12
v(5) = (5)^2 - (5) + 10
v(5) = 25 + 5
v(5) = 30
You can write these values as coordinate pairs, like so: (2, 12) and (5, 30).
The formula for the average rate of change is

. When you plug in the values from this particular case, the average rate of change formula becomes

, or

.
Looking at the equation, you can solve for the average rate of change between t = 2 and t = 5, which equals
6.
17) replace the given number for "x" and evaluate
a) x² + 2x + 1 ; when x = 3
3² + 2(3) + 1
= 9 + 6 + 1
= 16
b) x² + 2x + 1 ; when x = -4
(-4)² + 2(-4) + 1
= 16 - 8 + 1
= 9
c) x² + 2x + 1 ; when x = 3
(-22.872)² + 2(-22.872) + 1
= 523.128384 - 45.744 + 1
= 478.384384
18) The dependent variable is affected by the other variable and is the "output" The independent variable is the input.
a) y = 3x - 5; "x" is the independent variable
b) the time of day is the independent variable (you would input the time of day to calculate the temperature).
19) Let the x-axis represent the length of the lumber cut off and the y-axis represent the length of the lumber remaining.
If this is a proportion, then the answer is 16.
3:12, 4:16
3*16=12*4