Answer:
(a)
(b)
(c)
Step-by-step explanation:
(a)
Simply evaluate (a+h) in the function:
(b)
Evaluate (a) in the function:
Using the previous answers lets calculate f(a+h)-f(a)
(c) To find the rate of change of f(a+1) when a=7 we need to calculate its derivate at that point:
Y = x^2 + 2x - 1 = x^2 + 2x + 1 - 1 - 1 = (x + 1)^2 - 2
The vertex of a parabola given by y = a(x - h)^2 + k is (h, k).
Therefore, the vertex of y = (x + 1)^2 - 2 is (-1, -2)
Answer:
y = 3/4x
Step-by-step explanation:
We need to find the slope of the line
We have point (0,0) and point (4,3)
m = (y2-y1)/(x2-x1)
= (3-0)/(4-0)
=3/4
The y intercept is 0 since it crosses the y axis at 0
The slope intercept form of the line is
y = mx+b
y = 3/4x +0
y = 3/4x
If you add everything up then
14x-2=180
14x=182
x= 13
So the angles would equal
2(13)+1= 27
3(13)-3= 36
9(13)= 117
The angles are 27 36 and 117
Which makes the smallest angle 27 which is B.
1 kilometer = 1000 meters
5000 meters / 1000 = 5 kilometers
5 kilometers x 2 times per day = 10 kilometers per day.
answer: D) 10 kilometers
