Find a and d for the function f(x) = a cos(x) + d such that the graph off matches the figure.​

Find A And D For The Function F(x) = A Cos(x) + D Such That The Graph Off Matches The Figure.

Answers

Answer 1

a = amplitude

d = shift

Just from looking at the graph, I can tell that d = -3.5

The amplitude = 1/2

Answer 2

We want to find the coefficients of a given function such that the graph of the function matches the given graph.

We will get:

a = -0.5

d = -3

------------------------

We start with the general function:

f(x) = a*cos(x) + d.

Let's analyze the graph

In the figure, we can see that the graph passes through the point (0, -3.5)

This means that our function evaluated in x = 0 is equal to -3.5, then we can write:

f(0) = a*cos(0) + d = -3.5

        a + d = -3.5

We also can see that the distance between a peak and a through is 1 unit, and a, the amplitude, must be (in absolute value) half of that. Also note that when x = 0 we have a local minimum, while for the normal cosine we have a local maximum at x = 0, then a must be a negative number.

Then we have that:

a = - (1/2) = -0.5

Now that we know the value of a we can replace it in the other equation to get:

a + d = -3.5

-0.5 + d = -3.5

d = -3.5 + 0.5 = -3

Then the values of a and d are:

a = -0.5

d = -3

The function is:

f(x) = -0.5*cos(x) - 3

And the graph of this can be seen at the end of the answer, where it does not match exactly because the x-scale in the image is in units of pi, while in my graph is in integers.

If you want to learn more, you can read:

https://brainly.com/question/17954123

Find A And D For The Function F(x) = A Cos(x) + D Such That The Graph Off Matches The Figure.

Related Questions

what is the area of a pizza with a 9 inch radius?

Answers

Answer:

254.47

Step-by-step explanation:

A=πr2=π·92≈254.469

4-7x=1-6x can someone please solve and show the work :)

Answers

Answer:

x = 3

Step-by-step explanation:

Simplifying

4 + -7x = 1 + -6x

Solving

4 + -7x = 1 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.

4 + -7x + 6x = 1 + -6x + 6x

Combine like terms: -7x + 6x = -1x

4 + -1x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0

4 + -1x = 1 + 0

4 + -1x = 1

Add '-4' to each side of the equation.

4 + -4 + -1x = 1 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 1 + -4

-1x = 1 + -4

Combine like terms: 1 + -4 = -3

-1x = -3

Divide each side by '-1'.

x = 3

Simplifying

x = 3

please help me i am so lost

Answers

The Answer is 14175
When it’s Area you multiply the numbers
I hope this helps

Write as a single power
(-5)(-5)(-5)(-5)​

Answers

I think the answer is 625

Answer:

-5^4

Step-by-step explanation:

I hope this helped.

Math which one is right? Giving brainlist

Answers

Answer:

Third option.

Step-by-step explanation:

[tex]5-2\left(3x-9\right)=-1[/tex]

Use the distributive law: [tex]a(b-c)=ab-ac[/tex]

[tex]5-2\times3x-\left(-2\right)\times9=-1[/tex]

Double negative = Positive

[tex]5-6x+18=-1[/tex]

Convert 42,670,000 into an estimated power of 10

Answers

Answer:

4 x 10^7

Step-by-step explanation:

equals 40,000,000

I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
Please make sure to include each step you took!!!
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!

All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson

Answers

Answer:

a = 1

Step-by-step explanation:

Step 1: Write equation

a - 2(4 - a) = 7a - 12

Step 2: Solve for a

Distribute -2: a - 8 + 2a = 7a - 12

Combine like terms: 3a - 8 = 7a - 12

Subtract 3a on both sides: -8 = 4a - 12

Add 12 on both sides: 4 = 4a

Divide both sides by 4: a = 1

Step 3: Check

Plug in x to verify if it's a solution.

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5

Answer:

a = 1

Step-by-step explanation:

equation given:   a - 2(4 - a) = 7a - 12

distribute and expand the equation

a - 8 + 2a = 7a - 12

combine similar terms:

a + 2a - 7a = -12 + 8

simplify:

-4a = -4

a = -4 / -4

a = 1

proof that a = 1

a - 2(4 - a) = 7a - 12

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5  therefore, the a = 1 is correct.

SOLVE ATTACHMENT 30 POINTS!!!!!!

Answers

Here’s my answer, hope it’s right:

Answer:

[tex]B = \frac{6D + 18 {f}^{3} }{M} [/tex]

Step-by-step explanation:

[tex] - 3 {f}^{3} + \frac{1}{6} MB = D [/tex]

Multiply through by 6 to eliminate the fraction

That's

[tex] - 18 {f}^{3} + MB = 6D[/tex]

Move - 18f³ to the right side of the equation

That's

[tex]MB = 6D + 18 {f}^{3} [/tex]

Divide both sides by M to make B stand alone

That's

[tex] \frac{MB}{M} = \frac{6D + 18 {f}^{3} }{M} [/tex]

We have the final answer as

[tex]B = \frac{6D + 18 {f}^{3} }{M} [/tex]

Hope this helps you

A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel miles in 9 hours. (5 points) Blank 1:

Answers

Answer:

567 miles

Step-by-step explanation:

Total distance travelled till now = 315 miles

Total time taken to cover the above distance =  5 hours.

Distance covered in each hour = [tex]\frac{315}{5} = 63[/tex]

Thus, it means in each hour it covers the distance of 63 miles.

Assuming the same speed can be continued and maintained, the total distance that can be covered in 9 hours shall be:

63 miles in each hour [tex]\times[/tex] 9 hours = 567 miles.

Answer:

567 miles

Step-by-step explanation:

can you help please :)

Answers

Answer:

36 miles per gallon of gas

Step-by-step explanation:

Answer:

36 miles per gallon

Step-by-step explanation:

if she drove 216 miles and used 6 gallons of gas then you would divide 216/6=36. so the answer is 36 miles per gallon

explain why this is NOT a function

Answers

Answer:

because it doesn't pass the verticle line test

Step-by-step explanation:

If the average baby blue whale grows at a rate of 1.5 inches a day, how many days does a baby whale grow to reach 47.075 inches? (Round to the nearest hundredth of a day)

Answers

x = # of days.

1.5x = 47.075

Divide both sides by 1.5

x = 31.38 days

25 POINTS!!!!! A cruise ship travels at a bearing of N35°E at 18 mph for 3 hours and changes course to a bearing of S66°E. It then travels 15 mph for 2 hours. Find the distance the ship is from its original position. Round your answer to the nearest hundredth.

Answers

Answer:

66.59 is the answer

Answer:

66.95

Step-by-step explanation:

Answer is 66.95

You roll a​ six-sided die. Find the probability of each of the following scenarios. ​(a) Rolling a 5 or a number greater than 3. ​(b) Rolling a number less than 5 or an even number. ​(c) Rolling a 2 or an odd number

Answers

Answer:

Step-by-step explanation:

a.

let A= number 5

B=number >3

P(A)=1/6  {5}

P(B)=3/6  {4,5,6}

p(A∩B)=1/6   {5}

P(AUB)=P(A)+P(B)-P(A∩B)=1/6+3/6-1/6=3/6=1/2

b.

let  event C=number<5

D=even number

C=[1,2,3,4}

D={2,4,6}

C∩D={2,4}

P(C)=4/6

P(D)=3/6

P(C∩D)=2/6

P(C∪D)=P(C)+P(D)-P(C∩D)=4/6+3/6-2/6=5/6

c.

let event E=number 2

F= an odd number.

E={2}

F={1,3,5}

E∩F={}

P(E)=1/6

P(F)=3/6

P(E∩F)=0

P(E∪F)=P(E)+P(F)-P(E∩F)=1/6+3/6-0=4/6=2/3

a high school football player is practicing his frield goals kicks. The equation h=-9t²+45t where t is the number of seconds gone by and h is the height of the ball in feet. how long does it take for the ball to hit the ground ​

Answers

h = -9t^2 + 45t

First, let's factor the equation.

h = -9t(t - 5)

Let's set both terms equal to zero.

-9t = 0

Divide both sides by -9

t = 0

t - 5 = 0

Add 5 to both sides.

t = 5

We know that it took more than 0 second sto hit the ground, therefore, the only answer that makes sense is t = 5

It took 5 seconds for the football to hit the ground.

- 12x + 10x
how can i simplify this ?

Answers

Answer:

- 2x

Step-by-step explanation:

Step 1:

- 12x + 10x

Answer:

- 2x

Hope This Helps :)

Answer:

-2x

Step-by-step explanation:

Like the other problem, we want to combine our like terms(in this case, all terms with x's). In order to do this, all you have to do is ignore the x's and then add the numbers together. -12 + 10 = 2. Now that we've added them together, you can add the x back to get 2x.

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Answers

Answer:

as triangle has different length in each side it is scalene

Step-by-step explanation:

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for credit. Solve using any method.

Answers

Answer:

the cougars scored 1 point and the eagles scored 8 points

Step-by-step explanation:

if the cougars would have scored 3 times more points they would have been at which means they scored 1 point because 1x3=3. and if the eagles scores 7 more points than the cougars they would have scored 8 points because 1+7=8.   :)

Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He
sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for
these graphs?
none
one
two
infinitely many

Answers

Answer:

The answer would be two because one of the lines would be a parabolic line and parabolic lines only have at the most two solutions.

The greatest possible number of intersections for the graphs is two.

What is the greatest possible number of intersections of the graph?

It follows from the task content that the two graphs involved are;

A linear and quadratic graph.

By convention, a quadratic graph produces a parabola and a linear graph produces a straight line. On this note, it follows that the best case of intersection is when the straight line crosses over the parabola and hence leading to two points of intersection.

Read more on linear and quadratic expressions;

https://brainly.com/question/2438097

Cantaloupes are on sale at four different grocery stores. Which store offers
the lowest unit rate for cantaloupes, in dollars per pound?
$4.50
• Fresh Farm:
5 pounds
$
• Fruit Garden:
1
3
pound
$4.00
• Mother Nature:
5 pounds
• Country Market: $0.85/pound

Answers

Answer:

fruit garden

Step-by-step explanation:Its 60 Cents- answer came from Apex

Can someone help me with Case 4?

Answers

Answer:

I think it is 2.94 cm

Answer:

7.4676

Step-by-step explanation:

19.88-16.94=2.94 then convert it to cm 7.4676

how many micrograms are in 0.23 kg?

Answers

230000000 micrograms in 0.23 kg.

Andres needs a total of $370 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Andres have to deliver papers to have enough money to buy the bicycle?

Answers

Answer:

Step-by-step explanation:

Answer:

22 weeks

Step-by-step explanation:

Equation: 40 + 15w = 370

370 - 40 = 330

330/15 = 22

22 weeks is your answer.

Hopefully this helps you

pls mark brainlest

What do u get when you Simplify -4x - x.

Answers

Answer:

-4x? whats the value to x?

Step-by-step explanation:

answer would be -5x.

Do two points always, sometimes, or never determine a line? Explain.

Answers

Answer: sometimes

explanation:

if there are two points then there could be a line to connect them, however, there could always be two points that are separate on their own.

Answer:

Always

Step-by-step explanation:

If 2 distinct points lie on the plane then it determines the line. You can also verify if you can find the slope, with these 2 coordinate points, and then find the equation of the line but using point slop form and/or slope intercept form which is y=mx+b

15 divided by 266 I need R

Answers

Answer:

Step-by-step explanation:

You could use a calculator or you could perform long division to find the remainder of 15/266.  There is no integer quotient, other than 0 (zero).  That means 15 is the remainder.

Supposing you were dealing with 266/15 (which is really a different problem).  This division produces an integer quotient and a remainder:

266

------- = 17 r. 11

 15

Double-check to ensure that you've copied this problem down correctly.

A researcher compared the heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best hit for the data where is the shoe size and y is the height, in inches. y = 1.61 +48 Based on the equation, what is the approximate shoe size for a man having a height of 60 inches?​

Answers

Answer:

7 1/2

Step-by-step explanation:

try putting (1.6 x 7.5)+48 in a calculator i just put random numbers in the x spot until i got 60 lol


[tex] \frac{ - 4}{5} + - 31 \times \frac{3}{5} [/tex]
help​

Answers

Hey there!

ANSWER: [tex]\frac{-97}{5}[/tex]EXPLANATION:

[tex]\frac{-4}{5}+-31*\frac{3}{5}[/tex]

Keep denominator same and add parenthesis to 3/5.

[tex]\frac{-4}{5}+-31*(\frac{3}{5})[/tex]

Here is your answer.

[tex]\frac{-97}{5} (ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

What is the value of y in the equation 2(3y + 6 + 3) = 196 − 16?

27
29
30
33

Answers

The value of y is 27. (first option.)

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

27

Step-by-step explanation:

2(3y + 6 +3)

2(9 + 3y)

18 + 6y

18 + 6y = 196 -16

6y =196 -16 -18  

6y = 162

162 divided by 6 = 27

y =27

The product of 7 and j is 91

Answers

Answer:

j = 13

Step-by-step explanation:

7×j = 91

j = 91 : 7

j = 13

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