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Murrr4er [49]
3 years ago
9

Suppose you drive a car M miles on G gallons of gas. The number of miles you drive in your car is equal to 30 times the number o

f gallons of gas used. Which direct variation equation represents this situation?
Mathematics
1 answer:
mamaluj [8]3 years ago
7 0
That would  be M = 30G   where M is in miles and G is in gallons.
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When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $10,000 a year with a com
MArishka [77]

Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the <u>base salaries as the intercept and the commissions as the slope</u>, the functions are given by:

  • A(x) = 10000 + 0.09x.
  • B(x) = 20000 + 0.04x.

To produce a larger income in option A, it is needed that:

A(x) > B(x).

Hence:

10000 + 0.09x > 20000 + 0.04x

0.05x > 10000

x > 10000/0.05

x > 200,000

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

3 0
2 years ago
Expand and simplify (x + 3)(x + 5)<br><br><br><br>​
Ann [662]
Answer (apply the FOIL method)

X^2+8x+15
6 0
2 years ago
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Help answer pleaseeeeeee
12345 [234]

Answer:

Your answer is C.

Step-by-step explanation:

I answered it on paper. When it comes to explaining I have to be person to person. But I hope this helps. :)

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3 years ago
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choli [55]
I think it’s 10,21 and 40, in that order. Sorry if I’m wrong:(
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3 years ago
The nth term of a sequence is 3n + 2
gavmur [86]

Answer:

see explanation

Step-by-step explanation:

To calculate the first 3 terms substitute n = 1, 2, 3 into the n th term rule

a_{1} = (3 × 1) + 2 = 3 + 2 = 5

a_{2} = (3 × 2) + 2 = 6 + 2 = 8

a_{3} = (3 × 3) + 2 = 9 + 2 = 11

------------------------------------------------------------------

substitute n = 10 into the n th term rule

a_{10} = (3 × 10) + 2 = 30 + 2 = 32

3 0
3 years ago
Read 2 more answers
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