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EastWind [94]
3 years ago
10

Evaluate the following function over the domain {0,1,2,3}. What is the range? g (x) = -2x^{2} + 2

Mathematics
1 answer:
Alexus [3.1K]3 years ago
7 0

Answer:

the range= {-16, -6, 0, 2}

Step-by-step explanation:

domain={0,1,2,3}

g(x)= -2x^{2} + 2

g(0)= -2(0)^{2} + 2 =2

g(1)= -2(1)^{2} + 2 =0

g(2)= -2(2)^{2} + 2= -6

g(3)= -2(3)^{2}+ 2= -16

the range = {-16, -6, 0, 2}

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Prudence is creating a garden in her backyard. She wants it to be the shape of an equilateral triangle with sides of length 20 f
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Answer:

The area of the triangular garden is 173\ ft^{2}  

Step-by-step explanation:

we know that

The equilateral triangle has three equal sides and three equal internal angles (the measure of each internal angle is 60 degrees)

The area of a triangle applying the law of sines is equal to

A=\frac{1}{2}(a)(b)sin(C)

In this problem we have a equilateral triangle

therefore

a=b=20\ ft

C=60\°

substitute

A=\frac{1}{2}(20)(20)sin(60\°)

A=\frac{1}{2}(20)(20)\frac{\sqrt{3}}{2} \\ \\A=100\sqrt{3}\ ft^{2}\\ \\A=173\ ft^{2}

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3 years ago
Which expression does not name an integer<br>A. -15 B. 6/14 C. 0 D. 12/6​
Alona [7]

Answer:

B

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An integer does not have a decimal part.

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7 0
1 year ago
The ratio of water to flour in a bread recipe is 1 to 3. A large batch of the recipe has 5 more cups of flour than water. How ma
irina [24]

Answer:

2.5 OR 2 1/2 cups

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4 years ago
Which absolute value function corresponds to the graph with these characteristics?
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Using translation concepts, the absolute value function with these characteristics is given by:

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<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent absolute value function is given by:

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With the vertex at (2,4), we have that:

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Hence the absolute value function with these characteristics is given by:

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More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

3 0
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