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antoniya [11.8K]
3 years ago
10

At which x-values are the output values of the floor function g(x) = ?x? and the ceiling function h(x) = ?x? equal? Check all th

at apply. –8 –5.2 –1.7 0 2.4
Mathematics
1 answer:
ElenaW [278]3 years ago
5 0

Answer:

  -8, 0

Step-by-step explanation:

The floor and ceiling functions have equal values for any integer argument. Their value is that integer.

Among your answer choices, the integers are -8 and 0.

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Consider all rectangles with an area of 200m^2. Let x be the length of one side of such a rectangle. Find the dimensions of a re
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Fred buys a video game disk for $8 after a 20% discount. what is the original price?
olga_2 [115]
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2 years ago
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

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The answer would be 67
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3 years ago
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