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Irina-Kira [14]
3 years ago
6

Regular price : $90, discount percent : 40%

Mathematics
2 answers:
Alex17521 [72]3 years ago
6 0
90 x 0.4 = 36

90 - 36 = 54

The sale price is $54
Umnica [9.8K]3 years ago
3 0
40/100=x/90
100x=40x90
100x=3,600
x=36
90-36=54
discount price is $54
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2 : 4

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Evaluate the following -5+4-3-6+9-3
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Bro I hate math tooo
8 0
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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

(-∞,1]

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