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Nady [450]
2 years ago
8

Hey! Could someone help me with this question as quick as possible? Hope everyone is having a great day/night.

Mathematics
1 answer:
Setler [38]2 years ago
6 0
The y-intercept should be -3
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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
Caleb started saving money in a cookie jar. He started with $25 .He adds $10 to the cookie jar each week. Write an equation wher
Kryger [21]
It would be, t= 10w + 25 And to make a graph but in values for w; w: 1 / 2 / 3 / 4 t: 35/ 45 / 55 / 65 And then you plot the points on the graph.
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Please help and thank you
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2 servings because one serving is 4%, so you would need would need to double that, or multiply it by two.
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3 years ago
Pair 3
solmaris [256]
I think it might be pairs 2 & 3
6 0
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fay makes necklaces to sell at a craft fairs she can make 18 necklaces in for 12 days.in simplest terms, at what rate does she m
wolverine [178]
(18 neclaces)/(12 days) = 1.5 necklaces/day

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Rate is generally expressed in terms of quantity per time period. ("Per" means "divided by" here.) So, to find the rate, you divide the quantity by the corresponding time period, as above. There are other sorts of rates, but this is perhaps the most common.
4 0
3 years ago
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