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Gemiola [76]
3 years ago
5

A rental company charges $75 per hour for a jet ski plus $5 fee for a life jacket. write an equation in slope intercept form for

the total rent cost c for a jet ski jacket and a life jacket for t hours​
Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Answer: c = 75t + 5

Step-by-step explanation:

Slope intercept form would take the form of;

y = mx + c

Where y would be the total cost

m would be the variable cost

x would be the varying quantity

c would be the fixed cost

The total rent cost here is denoted c.

m which is the variable cost would be the $75 per hour

x is the varying quantity which in this case is t hours

c is the fixed cost of $5 for the life jacket.

The expression will therefore be;

c = 75t + 5

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beks73 [17]

Answer:

  • B) - 1 < x < - 0.2

Step-by-step explanation:

<h3>Given inequality</h3>

  • |5x + 3| < 2

The LHS is absolute value so we look at two options:

<h3>Option 1</h3>

5x + 3 is positive, then the inequality becomes:

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<h3>Option 2</h3>

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2 years ago
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4 years ago
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Refer to the attached image.

Let the width of the border be 'x' inch.

Area of border = Area of rectangle ABCD - Area of rectangle PQRS

Area of rectangle ABCD = length \times width

= AB \times BC

= (13+2x) \times (9+2x) square units.

Area of rectangle PQRS = PQ \times RQ

= 13 \times 9

= 117 square units.

So, area of border = (13+2x)(9+2x)-117 = 48

As it is given that the area of border is 48 square units.

So, 117+26x+18x+4x^2-117 = 48

44x + 4x^2-48=0

4x^2 + 44x = 48

So, the complete equation is 4x^2 + 44x = 48.

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x(x+12)-1(x+12)=0

(x-1) (x+12)=0

So, x = 1 or x = -12

Width can'not be negative.

So, x = 1 .

Therefore, the width of the border can'not be 2.5 inch.

Therefore, the width of the border is 1 inch.

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