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DENIUS [597]
3 years ago
10

How does the graph of f(x)=5 cos(1/2x)-2 differ from the graph of g(x)=5 cos(x)-2

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
8 0

Answer:

the graph of f (x) is stretched horizontally

Step-by-step explanation:

apex

crimeas [40]3 years ago
7 0
F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2

The period for a cosine function is 2pi/k
In the equation the k is  located before the variable.
In g(x) we have 5cos (1x) -2
so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.

In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .
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Marte posted a story on her blog on the stay there were 80 responses and on the second day there were 180
Anastasy [175]

Answer:

D. 125%

Step-by-step explanation:

First day = 80 responses

Second day = 180 responses

Increase in responses = 180 - 80

= 100 responses

what percent is the increase 100 of the original number of responses 80

= Increase in responses / original number of responses × 100

= 100/80 × 100

= 1.25 × 100

= 125%

The percent increase 100 of the original number of responses 80 = 125%

8 0
3 years ago
Sixteen plus five times a number is more than the number plus 32. Write an inequality and solve it.
Margarita [4]

Answer:

x>4

Step-by-step explanation:

16+5x>x+32

5x>x+16

4x>16

x>4

4 0
3 years ago
Read 2 more answers
Ben is making manipulative to sell..He wants to make at least $450.00 ..Each manipulative costs $18 to make.He is selling them f
prohojiy [21]
The least Ben can sell is 37 manipulative to reach his goal.
7 0
3 years ago
Y = 2f(g(x))
IrinaK [193]
Yes you used the chain rule properly to follow the correct steps to get the right answer. Great job.

If you wanted, you can come up with examples for f(x) and g(x) to help confirm the answer. A quick way to do this is to use something like GeoGebra to help graph the two expressions and you'll notice that the curves match up perfectly (indicating equivalent expressions). Note: GeoGebra can handle derivatives through the Derivative[] comand or you can type the function in the input bar with a tickmark after it to tell GeoGebra to derive the function.
7 0
4 years ago
Escape park owner was 30% of each order to include long boards he wants to know how many long boards to order out of a total of
Nataliya [291]

Answer:

He should order 15 long boards

Question:

Escape park owner want 30% of each order to include long boards he wants to know how many long boards to order out of a total of 50 skateboards

Step-by-step explanation:

Let x and y represent the number of long board and the total number of skateboard to order.

Given that 30% of each order to include long boards;

x = 30% of y

x = 0.3y .....1

But, the total number of skateboard is given as 50

y = 50

From equation 1

x = 0.3y = 0.3(50)

x = 15

He should order 15 long boards

7 0
3 years ago
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