Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:
<h3>What is a linear function?</h3>
A linear function is modeled by:
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.
In this problem:
- Jim's car holds 14 gallons of fuel, hence
.
- Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is
.
Hence, the function is:
You can learn more about linear functions at brainly.com/question/25898120
Answer: -20v^3 - 30x^2 +20
Step-by-step explanation:
simply multiply each term inside of the parentheses by -5.
we have
we know that
so
the answer is in thousandths, because the denominator of the multiplication of the two fractions is one thousand
The answer is 91 toys sold, make
the number ab where a is the 10th digit and b is the first digit. The
value is 10a + b that can expressed as 10 (3) + 4 = 34
Let the price of each item: xy
10x + y
He accidentally reversed the
digits to: 10b + a toys sold at 10y + x rupees per toy. To get use the formula,
he sold 10a + b toys but thought he sold 10b + a toys. The number of toys that
he thought he left over was 72 items more than the actual amount of toys left
over. So he sold 72 more toys than he thought:
10a + b =10b + a +72
9a = 9b + 72
a = b + 8
The only numbers that could work
are a = 9 and b = 1 since a and b each have to be 1 digit numbers. He reversed
the digits and thought he sold 19 toys. So the actual number of toys sold was
10a + b = 10 (9) + 1 = 91 toys sold. By checking, he sold 91 – 19 = 72 toys
more than the amount that he though the sold. As a result, the number of toys
he thought he left over was 72 more than the actual amount left over as was
stated in the question.
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