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3 years ago

9

If you travel 425 miles on 12.6 gallons of gasoline, how many miles per gallon did your car get? Please explain how you figured

this out

1 answer:

oee [108]3 years ago

7 0

Answer:

Step-by-step explanation:

Lets see... Miles per gallon...Miles/gallon...425 miles/12.6 gallons = 33.73 miles/gallon = 33.73 miles per gallon

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Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

dsp73

Answer:

The required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, $a_2=10,a_3=5,a_4=2.5,a_5=1.25$

$r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}$

The common ratio of GP is 1/2.

$r=\frac{a_2}{a_1}$

$\frac{1}{2}=\frac{10}{a_1}$

$a_1=20$

The first term of the sequence is 20.

The formula for sequence is

$a_n=a(r)^{n-1}$

Where a is first term and r is common difference.

The required sequence is

$a_n=20(\frac{1}{2})^{n-1}$

The formula for rate of change is

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

The average rate of change from n = 1 to n = 3 is

$m=\frac{f(3)-f(1)}{3-1}$

$m=\frac{5-20}{3-1}$

$m=\frac{-15}{2}=-7.5$

Therefore the required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

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3 years ago

Read 2 more answers

2y=x+6 2y-x=6 how do i solve following the system of equations

Margarita [4]

$2y = x + 6 \\ \\ 1. \: 2y - 6 = x \\ 2. \: x = 2y - 6 \\ \\ \\ 2y - x = 6 \\ \\ 1. \: - x = 6 - 2y \\ 2. \: x = - 6 + 2y \\ 3. \: x = 2y - 6$

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2 years ago

hi I'm Danica and it's sixth grade I would really like if you look over this problem and tell me the answer(sending it rn)!!!!!!

vaieri [72.5K]

Translation
explanation: it is shifting

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3 years ago

Nicole plans to watch 3 movies each month . Write an equation to represent the total number of movies n that she will watch in m

BartSMP [9]

I’m not sure i understand your question, could you send a picture of the question ??? i want to help you out ☝

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3 years ago

Find the value of the given expression.<br> (see the image)

Andrews [41]

Answer:

d. 14

Step-by-step explanation:

3(2) = 3 × 2 = 6
Plug 6 in: 12 + {10 ÷ [11 - 6]}
11 - 6 = 5
Plug 5 in: 12 + {10 ÷ 5}
10 ÷ 5 = 2
Plug 2 in: 12 + 2
12 + 2 = 14

I hope this helps!

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3 years ago