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3 years ago

1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.

1 answer:

8 0

1. Vertical shift, when k is outside of the parenthesis it indicates the translation up or down. Positive k is up and negative k is down.

2. Horizontal shift, when k is inside of the parenthesis it indicates the translation left or right. BE CAREFUL: positive k is left and negative k is right. Don’t get these mixed up

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The equation of the piecewise defined function f(x) is below. What is the value of f(1)?

cestrela7 [59]

Answer:

-1

Step-by-step explanation:

First, we need to find which expression to use for f(1). The first function does not include 1, because it is <, and not $\leq$

The second functions includes 1, because it has a $\leq$ , meaning greater than or equal to, so this is the function we must use.

-x^2

Plug 1 in for x

-(1^2)

Solve the exponent first

-(1)

-1

So, f(1)=-1

3 0

3 years ago

Read 2 more answers

9. Brett has ten distinct T-shirts. He is planning on going on a short weekend trip to visit his brother in college. He has enou

Ipatiy [6.2K]

Answer:

The number of ways are 210.

Step-by-step explanation:

Consider the provided information.

Brett has ten distinct T-shirts. He is planning on going on a short weekend trip to visit his brother in college. He has enough room in his bag to pack four T-shirts.

Since order doesn't matter so we will use combination.

Use the formula for combination $^{n}C_{r}=\frac{n!}{r!(n-r)!}$

Substitute n=10 and r=4 in above formula.

$^{10}C_{4}=\frac{10!}{4!(10-4)!}$

$^{10}C_{4}=\frac{10!}{4!6!}$

$^{10}C_{4}=210$

Hence, the number of ways are 210.

4 0

3 years ago

For the following geometric sequence, find the recursive formula. {-80, 20, -5, ...}

skad [1K]

For the geometric sequence, it has two forms of formula


We are interested in the recursive formula now


 {-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our recursive formula would be $a_n=a_{n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )$

I hope that helps!

3 0

4 years ago

Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After 444 hours, he had 350350350 page

Volgvan

There's no question in this statement.

8 0

4 years ago

Read 2 more answers

6x+6=-5+3x+17 I need help

yanalaym [24]

Answer:

Get all the terms with x on the left. Get all the terms without x on the right. Simplify by adding and subtracting the terms without x and adding and subtracting the terms with x. Finally divide to get the value of x.

Step-by-step explanation:

6x+6 =- 5+3x+17

6x+6 -6 =- 5+3x+17 -6

6x = 5+3x+11

6x = 3x + 16

6x - 3x = 3x + 16 -3x

3x = 16

3x / 3 = 16 / 3

x = 15/3 + 1/3

x = 5 1/3

x = 5.33333...

4 0

3 years ago