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torisob [31]
2 years ago
8

The cost to rent a truck is a $75 flat fee. plus $0.55 per mile driven.

Mathematics
1 answer:
pentagon [3]2 years ago
7 0

Answer:

a) y = 0.55x + 75

b) $108

Step-by-step explanation:

a) to find the equation represent the sequence use the y=mx+b formula

y = total price

m = cost per mile

x = miles driven

b = flat fee

Therefore y = 0.55x+75

b) To figure out the cost of driving 60 miles you use the equation y = 0.55x + 75

y = 0.55 X 60 + 75

= 108

Therefore the cost of renting the truck and driving 60 miles is $108

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Answer:

(- 3, 37) and (- \frac{5}{2}, \frac{63}{2} )

Step-by-step explanation:

Given the 2 equations

2x² - y + 19 = 0 → (1)

y + 11x = 4 → (2) ← subtract 11x from both sides

y = 4 - 11x → (3)

Substitute y = 4 - 11x into (1)

2x² - (4 - 11x) + 19 = 0

2x² - 4 + 11x + 19 = 0

2x² + 11x + 15 = 0 ← in standard form

(2x + 5)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - \frac{5}{2}

x + 3 = 0 ⇒ x = - 3

Substitute these values into (3) for corresponding values of y

x = - \frac{5}{2} : y = 4 + \frac{55}{2} = \frac{63}{2} ⇒ (- \frac{5}{2}, \frac{63}{2} )

x = - 3 : y = 4 + 33 = 37 ⇒ (- 3, 37 )

4 0
3 years ago
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Kamila [148]

Answer:

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4 0
1 year ago
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Step-by-step explanation:

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