So, the function is obviously shifted up by 1 so it rules out A and B, and we also see that the period is 4pi rather than 2pi, and using the fact that:

$\frac{2\pi}{b}=4\pi \implies \frac{b}{2\pi}=\frac{1}{4\pi}\implies b=\frac{1}{2}$

Now that we know our b value, we see that the correct answer would be C.

3 0

3 years ago

Solve each system by the addition method.

Aneli [31]

-4x + 7y = 9 ⇒ -4x + 7y = 9 ⇒ 8x - 14y = -18
2y = -5x - 22 ⇒ -5x - 2y = 22 ⇒ -35x - 14y = 154
 43x = -172
 43 43
 x = -4
 -4x + 7y = 9
 -4(-4) + 7y = 9
 16 + 7y = 9
 - 16 - 16
 7y = -7
 7 7
 y = -1
 (x, y) = (-4, -1)

7 0

3 years ago

What is the answer to this inequality -X+5<-1/3+17=?

ExtremeBDS [4]

Add the numbers: 3+17 = 20

-x + 5 < -1/20

Apply the fraction rule: -a/b = - a/b

-x + 5 < - 1/20

Subtract 5 from both sides

-x + 5 - 5 < 1/20 - 5

Simplify

-x< - 101/20

Multiply both sides by -1 (reverse the inequality)

(-x) (-1) > (-101/20) (-1)

x> 101/20 is the final answer

6 0

3 years ago