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3 years ago

8

Which of the following is equivalent to -12(3 - 5)?

2 answers:

ExtremeBDS [4]3 years ago

5 0

-12(3 - 5)

-12 x 3 + - 5 x -12

-36 + 60 = 24

bulgar [2K]3 years ago

5 0

Which of the following is equivalent to -12(3 - 5)?

-12(-8)

-12(3) + (-12)(5)

-12(3) - (5)

-12(3) - (-12)(5)

Answer:

-12(-8)

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Rom4ik [11]

Answer:

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Part 2) The range is the interval (-∞,1]

Step-by-step explanation:

we have

$f(x)=-x^2+14x-48$

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

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The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

so

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Find the vertex

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Factor -1 the leading coefficient

$f(x)=-(x^2-14x)-48$

Complete the square

$f(x)=-(x^2-14x+49)-48+49$

$f(x)=-(x^2-14x+49)+1$

Rewrite as perfect squares

$f(x)=-(x-7)^2+1$

The vertex is the point (7,1)

therefore

The range is the interval

(-∞,1]

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