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katrin2010 [14]
3 years ago
15

Who can help me with substitution , elimination methods.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0
Me what is it ????????

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4 years ago
Read 2 more answers
The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown. f(x) = 4(x2 + 12x) + 10 (twelve-halves) squared = 36
brilliants [131]

Answer:

f(x)=4(x+6)^2-134

Step-by-step explanation:

We are required to write the functionf(x) = 4x^2 + 48x + 10 in vertex form.

First, bring the constant to the left-hand side.

f(x) -10= 4x^2 + 48x

Factorize the right hand side.

f(x) -10= 4(x^2 + 12x)

Take note of the factored term(4) and write it in the form below.

f(x) -10+4\Box= 4(x^2 + 12x+\Box)

\Box = (\frac{\text{Coefficient of x}}{2} )^2\\\\\text{Coefficient of x}=12\\\\\Box = (\frac{12}{2} )^2 =6^2=36

Substitute 36 for the boxes.

f(x) -10+4\boxed{36}= 4(x^2 + 12x+\boxed{36})

f(x) -10+144= 4(x^2 + 12x+6^2)

f(x) +134= 4(x+6)^2\\f(x)=4(x+6)^2-134

The function written in vertex form is f(x)=4(x+6)^2-134

4 0
3 years ago
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