Answer:
-17
Step-by-step explanation:
The average rate of change is synonymous to the slope of a function.
We want to find the average rate of change for the function:
For the interval [3, 4]
So, we simply have to calculate the values of the function at the endpoints and then find the slope between them.
Our endpoint values are x=3 and x=4. So:
And:
So, we have the two points (3, -35) and (4, -52).
Now, we can use the slope formula:
Calculate the slope:
Hence, the slope or the average rate of change for our function for the interval [3, 4] is -17.
Answer:
= 15x - 16
Step-by-step explanation:
-18+3(5x-2)+8
= -18 + 15x - 6 + 8
= -10 - 6 + 15x
= 15x - 16
Answer:
A
Step-by-step explanation:
For transformation functions;
(x-2), the 2 represents horizontal shift (left or right)
if it is a positive= shift left
if it is a negative= shift right
since it is -2, the vertex of the graph is shifted right by 2 units.
For the +3 on the outside of h(x-2), this addresses the vertical shift.
Since it is +3, this means that the graph's vertex is shifted up.
For #1:
y = x + 4
Parallel lines have the SAME slope, this equation is in the form of y = mx + b, where 'm' is the slope. So the slope here is 1.
To find the equation of a line that passes through (2, 2) and has a slope of 1, we can plug it into point-slope form:
y - y1 = m(x - x1)
Where 'y1' is the y-value of the point, 'x1' is the x-value of the point, and 'm' is the slope.
y - 2 = 1(x - 2)
Distribute 1 into the parenthesis:
y - 2 = x - 2
Add 2 to both sides:
y = x
So your equation is y = x.
2499.9999999... is your answer
hope this helps
