Which transformation causes the described change in the graph of the function y = cos x?

1 answer:

8 0

Horizontal Shrink: y = cos 2x or if the coefficient of x is greater than 1
Vertical Stretch: y = 2 cos x or if the coefficient if cos x is greater than 1
Horizontal Stretch: y = cos (1/2) x or if the coefficient of x is less than 1
Vertical Shrink: y = (1/2) cos x or the coefficient of cos x is less than 1

The base value is 1 since it is the original coefficient of x and cos x. The values would adjust depending on the original coefficients.

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If x varies directly as y, and x=18 when y=6 find x when y= 10!!!!!!

tensa zangetsu [6.8K]

First thing you need to do is find your k in y = kx

So to do that insert 18 for x and 6 for y and then solve for k
y = kx
6 = k18
6/18 = k18 /18
1 / 3 = k
k = 1 /3
So now that we know what k is we can find x when y = 10. Once again insert the numbers we know. We know k = 1/3 and y = 10 and we need to find x
y = kx
10 = (1/3)x
3* 10 = 3*(1/3)x
30 = x
x = 30

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3 years ago

Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of bo

GuDViN [60]

Answer:

Let the number of books she can purchase = b

The cost of each book is $5.5 with an extra shipping of $7.5

So, the total cost of the books she can purchase = $5.5b+7.5$

Since, she had $65 to spend on the books.

The required inequality is $5.5b+7.5\leq 65$ .

So, according to the inequality above, we get,

The correct options are,

B. The inequality symbol is incorrect because she can spend up to and including $65.

C. The expression $5.5b+7.5$ is correct because $5.50 per book is $5.5b$ and that is added to the shipping fee of $7.50 to determine the total purchase price.