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max2010maxim [7]
4 years ago
10

Please help!

Mathematics
1 answer:
Alinara [238K]4 years ago
8 0
The area of the enclosed space is given by the equation
(6+2x)² = 169

We can take the square root of both sides, since 169 is a perfect square:
√(6+2x)² = √169
6 + 2x = 13

Subtract 6 from each side:
6 + 2x - 6 = 13 - 6
2x = 7

Divide both sides by 2:
2x/2 = 7/2
x = 3.5
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Step-by-step explanation:

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-/2 points
Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval  (-∞,∞)

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

(-∞,k]

Find the vertex

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

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

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Need help with finding foci of parabola
mixer [17]
Hello,
Please, see the attached files.
Thanks.

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