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2 years ago

15

The sum of three consecutive even integers is –78

1 answer:

Natasha_Volkova [10]2 years ago

7 0

Answer:

24, 26, 28

Step-by-step explanation:

So the three consecutive even numbers become 'x', 'x+2′, 'x+4′. According to the given condition, the sum of three consecutive even numbers is 78. x=24. Hence the three consecutive even numbers are 24, 26 and 28. is this the answer you were looking for?

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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

Find the range

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

The range is the interval

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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

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Step-by-step explanation:

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