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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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Match each set of numbers with their least common multiple.
mylen [45]

Answer:

27, 12, and 36  = 108

22 and 4  = 44

14 and 12  = 84

25 and 8  =200

9, 8, and 7  = 504

32, 24, and 18  = 288

Step-by-step explanation: You are welcome.

5 0
2 years ago
What percent of 250 is 100?
mr_godi [17]

Answer:

40%

Step-by-step explanation:

100 is 4p% of 250

hope it helped!

7 0
2 years ago
The number of dogs in a shelter is equal to 4 less than 2 times the number of cats. If there are 20 dogs in the shelter how many
poizon [28]
D=number of dogs
c=cats

d equals 4 less than 2 times c
d=-4+2c
20 dogs
d=20
subsitute
20=-4+2c
add 4
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divide 2
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5 0
3 years ago
Three identical circular coins are lined up in a row as shown (the 10s represent their value, not a length). The distance betwee
son4ous [18]

Answer:

Diameter of a circle = 1.6 Cm

Step-by-step explanation:

Given:

Distance between first and third coins = 3.2 cm

Find:

Diameter of the coins = ?​

Computation:

Number of circle = 3

In the given figure,distance between the first and third coins is 3.2 cm.

So,

Distance = 1st circle radius + 2nd circle diameter + 3rd circle radius

Distance = 1st circle radius + 2 (radius) + 3rd circle radius

Distance = R + 2R + R

3.2 Cm = 4 R

Radius = 0.8 Cm

Diameter of a circle = 2 × radius

Diameter of a circle = 2 × 0.8

Diameter of a circle = 1.6 Cm

3 0
3 years ago
A bank charges 1.75 of a point for the origination fee on a mortgage of $400,000. What is the origination fee?
Marina86 [1]

Answer:

The origination fee on a mortgage of $400,000 is $7,000.

Step-by-step explanation:

Here, the mortgage value =  $400,000

The origination fee = 1.75%

Now, the  origination fee is calculated on the amount mortgaged.

⇒ 1.75 % of ($400,00) =  Origination Fee

Now, 1.75 % of ($400,00) = \frac{1.75}{100}  \times 400,000 = 7,000

or, 1.75 % of ($400,00)  = $ 7,000

Hence, the origination fee on a mortgage of $400,000 is $7,000.

4 0
3 years ago
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