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Katarina [22]
3 years ago
10

What is the average rate of change of f(x) = −2x + 1 from x = −5 to x = 1?

Mathematics
2 answers:
Fiesta28 [93]3 years ago
8 0
Average rate of change is just the slope between the 2 points
we can do this the long way or the smart way


long way, find the 2 points and find the slope between them
when x=-5, f(-5)=-2(-5)+1=10+1=11
when x=1, f(1)=-2(1)+1=-2+1=-1
so the points are (-5,11) and (1,-1)
the slope between them is (-1-11)/(1-(-5))=(-12)/(1+5)=-12/6=-2
the answer is B, -2

smart way
recognize that that is a linear equation and the slope between any 2 points will be the m in y=mx+b
f(x)=-2x+1
the slope is -2
the average rate of change is -2
answer is B. -2
ozzi3 years ago
3 0

Answer: -2


Step-by-step explanation:


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If an object is propelled upward from a height of s feet at an initial velocity of v feet per​ second, then its height h after t
Sergio039 [100]

From the given information we can write the equation:

-16t^2 +96t + 4 = 112

-16t^2 + 96t + 4 - 112 = 0

-16t^2 + 96t - 108 = 0

simplify, change the signs, divide by -4

4t^2 - 24t + 27 = 0


You can use the qudratic formula but this will factor to

(2t-3)(2t-9) = 0

Two solutions

t = 3/2

t = 1.5 seconds at 112 ft on the way up

and

t = 9/2

t = 4.5 seconds at 112 ft on the way back down

Graphically, (green line is 112 ft)


5 0
3 years ago
A = 1,2 ( a + b ) h for h
ozzi

\dfrac{1}{2}(a+b)h=A\ \ \ \ |\cdot2\\\\(a+b)h=2A\ \ \ \ |:(a+b)\\\\\boxed{h=\dfrac{2A}{a+b}}

6 0
3 years ago
What is the general equation of a sine function with an amplitude of 6, a period of pi/4, and a horizontal shift of pi/2?
agasfer [191]

The general equation of the sine function y=f(x) is defined as

Y=AsinB(x-C)+D

where A is the Amplitude

B represents the frequency of the function with period equals 2\pi/B

C represents the Horizontal shift, For Phase shift= -C/B

D represents the Vertical shift.

The data given that the amplitude of the function A=6

B=\frac{2\pi}{Current\,  period}=\frac{2\pi}{\pi/4}=8

Vertical shift D= 0

Horizontal Shift C= \pi/2

Now plug in \neq A=6, B=8\,  and \, C=\pi/2 in the general equation of sine function, we get

y=6\sin8(x-\pi/2)+0\\y=6\sin 8(x-\pi/2))

4 0
3 years ago
K/6 + 8 = 5 what does k=?
vesna_86 [32]

Answer:

78

Step-by-step explanation:

(5 + 8) * 6 = k

4 0
3 years ago
Read 2 more answers
How do you simply-4 (-p) (-q)?
ANEK [815]
-4x(-p)x(-q)
Therefore the answer is -4pq
5 0
3 years ago
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