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IrinaK [193]
3 years ago
15

Form quadratic functions given the following information: Zeroes at 4 and –2, f(0)=4

Mathematics
1 answer:
laila [671]3 years ago
5 0

Answer:

f(x)=-0.5x^2+x+4

Step-by-step explanation:

we know that

A quadratic function in factored form is equal to

f(x)=a(x-x_1)(x-x_2)

where

a is the leading coefficient

x_1 and x_2 are the zeroes of the function

substitute the given values

f(x)=a(x-4)(x+2)

Find the value of a

Remember that

For x=0 ----> f(0)=4

substitute

4=a(0-4)(0+2)

4=a(-8)\\a=-0.5

so

f(x)=-0.5(x-4)(x+2)

f(x)=-0.5(x^2+2x-4x-8)

f(x)=-0.5(x^2-2x-8)

f(x)=-0.5x^2+x+4

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Hello!

The answer is: 15 mL

Why?

From the statement we have that 250 mg need to be given every 8 hours, we can calculate how many mg will be given each day (24 hours):

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