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Vikki [24]
3 years ago
12

Given three points of a quadratic function, find the equation that defines the function: (-2, 20)(0, -2)(1, -4)

Mathematics
1 answer:
Stels [109]3 years ago
6 0

Answer:

y=3x^2-5x-2

Step-by-step explanation:

Let the quadratic function be

y=ax^2+bx+c

The given points must satisfy this function;

Substitute (-2,20).

20=4a-2b+c..(1)

Substitute (0,-2)

c=-2...(2)

Substitute (1,-4);

-4=a+b+c...(3)

Put equation (2) into equation (1)

20=4a-2b+-2

4a-2b=22

2a-b=11...(4)

Put equation (2) into equation (3)

-4=a+b-2...(3)

a+b=-2...(5)

Add equation (4) and (5)

3a=9

Divide both sides by 3

a=3

Put a=3 in  equation 5.

3+b=-2

b=-2-3

b=-5

The quadratic function is;

y=3x^2-5x-2

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Callie will have $104.12 less than what she earned each month.

<h3>What are Rational Numbers ?</h3>

A number which can be represented in the form p/q where q ≠ 0 are called Rational Numbers.

The complete question is

Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account.

What is the net change in her bank account balance after each monthly payment? The net change to Callie’s bank account is -$416.48.

The negative sign indicates money leaving Callie’s account. Which rational number represents the number of months that Callie has to pay off the bill? What does the sign on the number mean?

Write an expression to represent the net change to Callie’s account balance each month.

The number of months Callie has to pay the bill is for 4 months, as there are 4 equal installments

The net change in account in Callie's Account balance each month is

-$416.48  / 4 = -$104.12.

The (-) sign indicate the reduction of the net balance from her account.

Callie will have $104.12 less than what she earned each month.

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4 0
2 years ago
Factoriza 4x²-y²-6y-9
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3 years ago
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