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dangina [55]
3 years ago
6

Let g(x) be the indicated transformation of f(x) = |2x| − 5. Compress the graph of f(x) = |2x| − 5 horizontally by a factor of 1

/4 and reflect it across the x-axis. Identify the rule and graph of g(x).

Mathematics
1 answer:
hjlf3 years ago
7 0

Answer:

g(x) = |8x| - 5

Rule: compress horizontally by a factor of 1/4

Step-by-step explanation:

f(x) = |2x| − 5

use the reciprocal of 1/4 to get 4 and multiply that by 2

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Increasing and decreasing Functions (anyone help):
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Step-by-step explanation:

the function of increasing for -2.5 < x < 2.5

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x > -2.5

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3 years ago
In the following table of values, the first differences are
ExtremeBDS [4]

Answer:

-7

Step-by-step explanation:

Given

\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}

Required

The first difference

To do this, we simply calculate the difference between the consecutive y-values.

i.e.

d = y_{n+1} - y_n

So, we have:

d = y_2 - y_1 = 27 - 34 = -7

d = y_3 - y_2 = 20 - 27 = -7

d = y_4 - y_3 = 13 - 20 = -7

d = y_5 - y_4 = 6-13 = -7

<em>Hence, the first differences are -7 (all through)</em>

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3 years ago
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Step-by-step explanation:

5 0
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Read 2 more answers
What is the equation of the line perpendicular to 3x+y=6 that passes through the point (0,8)​
Alekssandra [29.7K]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3x + y = 6

y =  - 3x + 6

The coefficient of x is the slope of the line , So the slope of the above equation is -3 .

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Remember from now on ,

Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .

Thus ;

( - 3) \times (m) =  - 1

m is the slope of the line which we want.

- 3m =  - 1

Negatives simplifies

3m = 1

Divide sides by 3

\frac{3m}{3}  =  \frac{1}{3}  \\

m =  \frac{1}{3}  \\

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We have following equation to find the point-slope form of the linear functions :

y - y(0) = m(x - x(0))

x(0) and y(0) are the coordinates of the point which the line passed through.

y  - 8 =  \frac{1}{3} (x - 0) \\

y - 8 =  \frac{1}{3} x \\

Add sides 8

y =  \frac{1}{3} x + 8 \\

Done....

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after riding the stationary bike for just 8 minutes, betty had burned 50 calories. how long must she ride if she wants to burn 3
Lyrx [107]

Answer:

52 minutes.

Step-by-step explanation:


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4 years ago
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