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guapka [62]
3 years ago
10

A truck rental company rents a truck for one day by charging $39 plus $1 per mile. Write a linear model that relates the cost C,

in dollars, off the renting truck to the number of M miles driven.
Mathematics
1 answer:
Anika [276]3 years ago
6 0

Answer:

1m+39c=y

Step-by-step explanation:

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Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

  y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

4 0
3 years ago
Check
algol [13]

Answer: Option A is the correct answer, y = x + 2

y - 3 = x-1

Step-by-step explanation:

6 0
2 years ago
The sales tax on $350 is 22.75 find the sales tax rate
bogdanovich [222]

To find the tax rate when given the initial price of an object and the final tax value, you use the equation: $350 * X = $22.75 (where X is the sales tax rate). Then solve:
$22.75/$350 = .065

So the rate is 6.5%



3 0
3 years ago
I need help on this math question before I go to bed
Ymorist [56]

Answer:

divide 8 by 4

multiply 8 and 34

7 0
2 years ago
A library just hired Brittany to write reviews on different books. The job requires her to read 3 books/week. If Brittany reads
Alexus [3.1K]

Answer:

36 books in 12 weeks

Step-by-step explanation:

All you have to do is multiply 3 books a week by 12 weeks....

1 week 3b 7 weeks 21b

2 weeks 6b 8 weeks 24b

3 weeks 9b 9 weeks 27b

4 weeks 12b 10 weeks 30b

5 weeks 15b 11 weeks 33b

6 weeks 18b 12 weeks 36b

8 0
2 years ago
Read 2 more answers
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