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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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On her way to visit her parents,Jennifer drives 265 miles in 5 hours.What is her average rate of speed in miles per hour ?
aleksandrvk [35]

Answer: The average rate of speed in miles per hour that Jennifer was going is 53 miles per hour. 265/5=53



7 0
4 years ago
Find an explicit rule for the nth term of the sequence. <br><br> 2, -8, 32, -128, ...
Akimi4 [234]
A1=2
a2=-8
a3=32
a4=-128

a2/a1=(-8)/2→a2/a1=-4
a3/a2=32/(-8)→a3/a2=-4
a4/a3=(-128)/32→a4/a3=-4

a2/a1=a3/a2=a4/a3=r=-4

an=a1*r^(n-1)
an=2*(-4)^(n-1)

The explicit rule for the nth term of the given sequence is an=2*(-4)^(n-1) 
8 0
3 years ago
Which of the following is the equation for a circle with a radius of r and center at (h,v)
Lorico [155]
Are there any answer choices
6 0
3 years ago
Read 2 more answers
Question in attachment
sdas [7]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a_{1}(r^{n}-1)  }{r-1}

where a₁ is the first term and r the common ratio

Here S_{8} = 1530 and r = 2, thus

\frac{a_{1}(2^{8}-1)  }{2-1} = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

8 0
3 years ago
The sales tax in your state is 5% if a car costs $24,600 what is the total cost including tax?
Svetach [21]
<h2>Greetings!</h2>

Answer:

$25830

Step-by-step explanation:

If 100% of the car price is 24,600 , then you can imagine that extra 5% being added to this

100 + 5 = 105

So you need to find what 105% of the cost was.

To do this you can use the percentage formula:

Amount x \frac{percentage}{100}

Now, you can simply plug the values into this

24,600 x \frac{105}{100}

24600 x 1.05 = 25830

<h3>So the total cost including tax would be $25830!</h3><h3 /><h2>Hope this helps!</h2>
7 0
3 years ago
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