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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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If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this
otez555 [7]

Answer:

10

Step-by-step explanation:

If there is a direct relation between two variables x and y then it can be represented as

y = kx ,

where y is dependent variable

x is  independent variable

k is constant of variation

_____________________________

First condition

y = 400

x = r

using y = kx then relationship will be

400 = kr

finding k here

k = 400/r

Second condition

y = r

x = 4

using y = kx then relationship will be

r = 4k

finding k

k = r/4

since  in both condition equation is same

thus, value of k will also be same

thus,

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

\sqrt{r^{2} }  = \sqrt{1600} \\r = 40

Thus, 40 is the value of r

k = r/4 = 40/4 = 10

Thus, constant of variation is 10 which is correct choice.

To cross validate

k = 400/r = 400/40 = 10

7 0
2 years ago
Read 2 more answers
What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b
Leviafan [203]
.04b is 2% of 2b because .04 multiplied by 100 is 4 then you divide by 2 which gets you 2.
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cross multiply and divide
it is 98% smaller than 2b.

.2b is 10% of 2b because .2 multiplied by 100 is 20 then you divide by 2 and get 10.
.2/2=x/100
it is 90% smaller than 2b.

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.56/2=x/100
it is 72% smaller than 2b.

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it is 10% smaller than 2b.

2.5b is 125% of 2b because 2.5 multiplied by 100 Is 250 and 250 divided by 2 is 125.
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it is 25% larger than 2b

3b is 150% of 2b because 3 multiplied by 100 is 300 and 300 divided by 2 is 150.
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2 years ago
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Tcecarenko [31]

Answer:

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Step-by-step explanation:

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Answer:

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2 years ago
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VladimirAG [237]

Answer:

4 ways.

Step-by-step explanation:

The total amount of candy she has is 15 + 9 = 24 pieces. She has three younger brothers, and 24 is divisible by 3 (24/3 = 8). 15 and 9 are also both divisible by 3 (15/3 = 5 and 9/3 = 3).

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I see 4 ways to do this, and 2 ways after her mother asks her to give at least 1 type of candy to each of them.

6 0
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