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MissTica
2 years ago
10

The graph of y=|x|y=∣x∣y, equals, vertical bar, x, vertical bar is reflected across the xxx-axis and then scaled vertically by a

factor of \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction. What is the equation of the new graph?
Mathematics
2 answers:
krek1111 [17]2 years ago
8 0
Answer: y = - (1/4) |x|

Justification:

The statement is confusing, so I will re-write it to avoid confusions:
<span>
"The graph of y=|x| is reflected across the x-axis and then scaled vertically by a factor of 1/4. What is the equation of the new graph? "

Answer

Solution:

1) Reflection acros the x-axis means (a,b) transforms into (a, -b). That is for the given x the reflected function will return the negative of the original value, that is:

y = - |x|

2) Scaling by a factor of 1/4 means that the new function is multiplied by 1/4

=> y = - (1/4) |x| which is the answer
</span>
aivan3 [116]2 years ago
4 0

Answer:

y=-\frac{1}{4} |x|

Step-by-step explanation:

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the cross sectional area of a cylinder is 614 cm 2 the height is 8cm what is the volume of the cylinder​
Elina [12.6K]

Answer: Volume of the cylinder​ = 4912\ cm^2

Step-by-step explanation:

Volume of cylinder = Area of base x height

Also, area of cross section = Area of base

Volume of cylinder =  area of cross section x height

Given:  Area of cross section = 614\ cm^2

height = 8 cm

Volume of cylinder = 614 x 8

= 4912 \ cm^2

Hence, the volume of the cylinder​ = 4912\ cm^2

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1 year ago
Un teren de 220 ha trebuie arat in 3 zile.Stiind ca a doua zi s-a arat de 1,5 ori mai mult ca in frima zi,iar in a treia zi s-a
AVprozaik [17]
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5 0
1 year ago
Evaluate y = ln (x − 2) for the following values of x. Round to the nearest thousandth.
MatroZZZ [7]

Answer:

0

0.693

1.386

graph A

Step-by-step explanation:

5 1
2 years ago
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A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine
ASHA 777 [7]

Answer:

The radius of the scoop is r = 3.1 cm

Step-by-step explanation:

Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.

3 gallons = 3 × 3785 cm³ =  11355 cm³

So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.

Since 90 scoops = 11355 cm³, then

1 scoop = 11355 cm³/90 = 126.2 cm³

Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have

r = ∛(3V/4π)

Substituting V = 126.2 cm³, we have

r = ∛(3× 126.2 cm³/4π)

= ∛(378.6 cm³/12.57)

= ∛30.13 cm³

= 3.1 cm

So, the radius of the scoop is r = 3.1 cm

5 0
2 years ago
A trader paid 1500 for 6 drinking cups. one of the cups got broken. he sold the remaining five, making a profit of 10percent cal
tankabanditka [31]

Answer:

Cost price of each cup = 1500/6 = 250

Selling price of each cup = 1650/5 = 330

Step-by-step explanation:

Cost price of cups = 1500

Profit = 10%

Selling price of cups = ?

Profit and loss percentage are calculated based on cost price and the formula to calculate profit is mentioned as under:

Profit percentage (%) = Profit x 100/Cost price

10 = Profit x 100/1500

⇒ Profit = 10 x 1500/100

⇒ Profit = 150

The formula for finding selling price is mentioned as under:

Selling Price = Profit + Cost Price.

Selling Price = 150 + 1500

⇒ Selling Price = 1650.

Since one of the six cups was broken that means the seller earned profit based on only 5 cups, it implies that selling price of each cup will be 1650/5 = 330.

6 0
2 years ago
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