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Deffense [45]
3 years ago
10

If you vertically compress the absolute value patent function, f(x)=|x|, by a factor of 5, what is the equation of the new funct

ion?

Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0

A vertical compression implies a reduction in the y-values of the absolute value function. Therefore, the term that we use to accomplish the reduction cannot be attached to the x in the equation. If so, we would end up with a horizontal stretch, not a vertical compression.

Compression implies a reduction, or dividing, so our term will be 1/5. This should be placed outside of the absolute value bars so that the compression affects only the y-values.

Correct answer: B. g(x) = 1/5|x|

Hope this helps! :)

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Erik buys 2.5 pounds of cashews. If each pound of cashews costs $7.70, how much will he pay for the cashews?
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Answer:

$19.25

Step-by-step explanation:

2.5*7.7=19.25

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3 years ago
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Find the value of X in each of the given triangles.​
pychu [463]

Answer:

x = 24

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
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  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Geometry</u>

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Step-by-step explanation:

<u>Step 1: Set Up Equation</u>

3x + 2x + 60° = 180°

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                    5x + 60 = 180
  2. Isolate <em>x </em>term:                              5x = 120
  3. Isolate <em>x</em>:                                       x = 24
8 0
3 years ago
A 70-foot wire attached to the top of a building is anchored to the ground 20 feet from the base of the building. Which value is
JulijaS [17]

Answer:

The the angle which the wire make with the ground is 1.280 radian .

Step-by-step explanation:

Given as :

The length of the wire attached to the top of building = OB = 70 foot

The distance of wire anchored from base of ground = OA = 20 feet

Let the angle made by wire en and ground = Ф

Now from ,  In Triangle AOB

Cos angle = \dfrac{\textrm Base}{\textrm Hypotenuse}

Or, Cos Ф =  \dfrac{\textrm OA}{\textrm OB}

or, Cos Ф =  \dfrac{\textrm 20}{\textrm 70}

Or, Cos Ф =  \dfrac{\textrm 2}{\textrm 7}

∴  Ф = Cos^{-1}(\frac{2}{7})

I.e Ф = 73.39°

Now in radian ,

∵ 180° = \pi radian

∴ 73.39° = \frac{\pi }{180} × 73.39°

             =  \frac{3.14 }{180} × 73.39° = 1.280 radian

Hence The the angle which the wire make with the ground is 1.280 radian . Answer

4 0
3 years ago
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since the distance between two parallel sides is 15, that would be your height

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