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3 years ago

Someone please help ..

Mathematics

1 answer:

sweet [91]3 years ago

6 0

The answer is either c or d hope this helped lol

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Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

1 year ago

Show 16300000 in standard form

mel-nik [20]

Sixteen million three hundred thousand

7 0

3 years ago

) Which statement describes the expression shown above? 6 times the sum of 2 and 8 ) plus the sum of 6 and 8 ) 8 plus the produc

ycow [4]

Answer: my childhood Memories

We're going on a trip in our favorite rocket ship

Zooming through the sky, Little Einsteins

the black/hood verse

"We're going on to the club in our favorite range rover

Zooming through the hood, Little gangsta's"

4 0

3 years ago

Find the slope of the line that passes through (-49, 68) and (-43, 67).

Arte-miy333 [17]

Answer:

Slope = 67 - 68 / -43 + 49

= -1 / 6

= - 1/6

Hope this helps

8 0

3 years ago

Decrease 117 kg in the ratio 10:13

Lisa [10]

Answer:

90kg

Step-by-step explanation:

it is so because, to decrease a number by a ratio you have to multiply with the smallest number and divide with the biggest one. For example 117 in the ratio 7:3. 117×3=351 which is divided by 7 and is equal to 50.14.

8 0

3 years ago