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jekas [21]
3 years ago
7

To perform car maintenance, a mechanic

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

C = 35 + 45h

In the equation above $35 is the initial value which interprets the cost for motor parts and $45/hour is the rate of charge of the mechanic per hour.

Step-by-step explanation:

Charges for parts and $45 per hour for  labor that takes a mechanic for maintenance of a car.

It costs $125 as Terri spent 2 hours for car maintenance.

Since the function is linear, so we can write  

125 = 45 × 2 + x {Where x is the charges for parts}

⇒ x = 35

Therefore, the equation that models the situation is given by  

C = 35 + 45h ......... (1)

where C is the total cost and h is the number of hours.

Here, in equation (1) $35 is the initial value that interprets the cost for parts and $45/hour is the rate of charge of the mechanic per hour. (Answer)

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As per given by the question,

There are given that four point.

The point is,

(-2,\text{ 0), (-1, 0), (0, -8), (2, 0)}

Now,

From given point,

(-2,\text{ 0), (-1, 0), (0, -8), (2, 0)}

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Now, solve the above equation,

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The factorial formd will be,

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Now, find the value of "a" with the help of given point (0, -8).

So,

Puth the value of x =0, and y=-8 in above equation,

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\begin{gathered} y=a\times(x+2)\times(x+1)\times(x-2) \\ -8=a\times(0+2)\times(0+1)\times(0-2) \\ -8=a(2)(1)(-2) \\ a=\frac{-8}{-4} \end{gathered}

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The value of a is 2.

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The polynomial in the factored form is,

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