or Precalculus
Unit: Get ready for trigonometry
x
Unit test
f is a trigonometric function of the form f(x) = a cos(bx + c) + d.
Below is the graph of f(x). The function has a maximum point at (pi, 9) and a minimum point at
(3pi/4, 1)
Find a formula for f(x). Give an exact expression.

Answers

Answer 1

Answer:

4cos(4x-4pi)+5

Step-by-step explanation:

It was from khan


Related Questions

A line passes through the points (4, 4) and (6, 10). What is its equation in slope-intercept form?

Answers

Answer:

3x-8

Step-by-step explanation:

math

Answer:

y=3x-8

Step-by-step explanation:

The slope of this is the rise over the run. Using the points, we can do (10-4)/(6-4) to get the slope. After solving this, we get 3 as the slope! Slope intercept form is in y=mx+b where m is the slope and b is the y-intercept.

So, y=3x+b

We can insert any of those coordinates into this equation and solve for b to get the y-intercept. If we insert (4,4), then we get 4=3(4)+b

: 4=12+b

:-8=b

Now that we have -8 as the y-intercept, we can insert that as b to get y=3x-8 as the equation in slope intercept form.

Write a real-life word problem that can be solved using the system of inequalities below. Be sure to define the variables. x + 4y < 400 x + 6y > 400 Scoring Rubric Scoring Rubric Sample Responses: Two customers each bought the same table and some of the same chairs from a furniture store. The first customer bought 1 table and 4 chairs and spent less than $400. The second customer bought 1 table and 6 chairs and spent more than $400. What could be the price of each chair (y)? Kyle and Jasmine each bought tickets for a concert. Kyle bought 1 student ticket and 4 adult tickets and spent less than $400. Jasmine purchased 1 student ticket and 6 adult tickets and spent more than $400. What could be the price of the adult ticket (y)? Two head coaches bought shirts for their coaching staff. The first coach bought 1 head coach shirt and 4 assistant coach shirts and spent less than $400. The second coach bought 1 head coach shirt and 6 assistant coach shirts and spent more than $400. What could be the price of each assistant coach shirt (y)? Two customers each bought a surround sound system and new movies from an electronic store. The first customer bought the surround sound system and 4 new movies and spent less than $400. The second customer bought the surround sound system and 6 new movies and spent more than $400. What could be the price of each movie (y)? 2 Points The response indicates proficiency in creating real-life word problems that can be represented by given systems of inequalities. The response includes the definition of each variable. The student correctly completes the task. 1 Point The response indicates partial proficiency in creating real-life word problems that can be represented by given systems of inequalities. The student correctly completes the task but makes a minor error. Answers that give a word problem but do not involve a real-life situation receive 1 point. Answers that give a real-life word problem but do not include the definition of each variable receive 1 point. 0 Points The response indicates no proficiency in creating real-life word problems that can be represented by given systems of inequalities. The student shows no understanding of the concept or task. Answers that simply solve the system but do not give a word problem receive 0 points.

Answers

Greg and George bought shoes at a local store. Greg bought one dress shoe and 4 sneakers and spent less than $400.

George bought one dress shoe and 6 sneakers and spent more than $400.

Inequality signs < and > denote less than and greater than respectively.

To solve the above inequalities in order to find x and y prices, a pair of solutions will be the result since linear inequalities with two variables will have a range of solutions

In other words, to find x and y for the inequalities we find a point (x,y) that satisfies the inequality.

Example: if the price of a dress shoe is $80 and the price of a sneaker is $60, it satisfies the system of inequalities for Greg and George since their shoe expenses stay below and above $400 respectively.

We could then say that the point (80,60) is one of the solutions to the inequalities.

We could graph the inequalities in order to find points on the graph that satisfy the inequalities. To graph the inequality we make the equation a linear equation x+4y=400 and plot a straight line in accordance to the inequality. All points above the line satisfy George's inequality and vice versa.

Read more here: https://brainly.com/question/14399777

Which could be the lengths of three sides of a triangle?
a. 10 ft, 10 ft, 21 ft
b. 19 ft, 11 ft, 3 ft
c. 18 ft, 8 ft, 10 ft
d. 12 ft, 25 ft, 35 ft
e. 4 ft, 4 ft, 8.4 ft

Answers

Answer:

I believe it is d

Step-by-step explanation:

it is the only option where every combination of two sides is larger than the third

Answer:

d

Step-by-step explanation:

if you add up 2 sides it is larger than the third, which is what we are looking for :))

is this the correct answer

Answers

Answer:

Step-by-step explanation:

correct.

Answer:

  see attached

Step-by-step explanation:

The requested plot is only for that portion of the line that exists between the two points shown.

2-7/9x=5/6 without fractions

Answers

Answer:

x=0.6 repeating (meaning 6 is repeating so this is a repeating decimal)


On the first day, a shoe shop sold 40 pairs of shoes and every day after it sold 20 more pairs of shoes.
Write an equation in slope-intercept form that describes the number of shoes sold.

Answers

Answer:

Step-by-step explanation:

I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS (TRUTHFULLY) !!NO LINKS!!

Answers

Step-by-step explanation:

SAS ================

What it says:

If two sides and the angle between them on one triangle are congruent to the corresponding two sides and the angle between them on the other, the triangles are congruent.

Required information:

Two sets of congruent sides with a congruent angle between them

ASA ================

What it says:

If one side and both connected angles on one triangle are congruent to one side and both connected angles on the other, the triangles are congruent.

Required information:

One set of congruent sides with two sets of congruent angles on the sides

AAS ==================

What it says:

If two angles and the non-included side on one triangle are congruent to two angles and the non-included side on the other, the triangles are congruent.

Required information:

Two sets of congruent angles and one set of congruent non-included sides

HL =================

What it says:

If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg on the other, the triangles are congruent.

Required information:

Congruent hypotenuse and congruent leg

Level: Easy

A football team loses 6 yards on their first play. It gains 8 yards on the next play. Which number line best represents the sum -6+8?

A)
B)
C)
D)

Answers

D is the answer please mark me brainliest

evaluate the expression when y=9 and x=8

6y-x​

Answers

Answer:

46

Step-by-step explanation:

because y=9 and x=8

the the equation (6y-x) becomes

(6x9)-8 which will be equal to 46

when worked out on a calculator.

The base of the following pyramid is a square. If the volume of
the pyramid is 360 feet^3, what is the missing length? Round the
answer to the nearest hundredth.

Answers

Answer:

h = 12.52 ft

Step-by-step explanation:

volume of pyramid is 1/3*b*l. b is the base and l is the height we know that this equals 360 because it is given in the text. we also know b=8^2 since the base is a square so b=64. divide 360 by 1/3*64*pi to get l, l=5.3715. next we will use the pythagorean theorem to find h. first find the diagonal of the base: 8sqrt(2), now using the pythagorean theorem, we have h^2=5.3715^2 + (8sqrt(2))^2= 28.8528+128=156.8528. square root to get12.5241

Mary is 4 years older than her sister Dawn.

In total the sisters have a combined age of 32.
Form an equation to show this. How old is Mary?

Answers

Mary is 18 . I’m not sure about the equation part


Which ordered pair represents a solution to both equations?


Answers

Answer:

-3,-1

its obvious because all you're doing is plting points

robin counts by 7 to 70. how many off numbers does robin say ?

Answers

Answer:

10

Step-by-step explain

What is the slope for 1,60,2,120,3,180,4,240

Answers

Answer:

the answer to your question is the slope is 60

A pyramid has a square base of length of 12m. Given the slant height of the pyramid is 15 m, draw its net and hence, find its total surface area.

Answers

Answer:

the surface area is 180 if u use multiplication

Step-by-step explanation:

the surface is 0.8 if you use devide

the surface is 3 if u use subtract

and the surface is 27 if you use addition

correct me if I'm wrong :)

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. What was the temperature 4.5 hours ago ?

Answers

Answer:

10.5 degrees Celsius

Step-by-step explanation:

Answer: 13.5

Step-by-step explanation:

This is because 3x4.5=13.5

what's 10+10+309765+45

Answers

Hey there!

10 + 10 + 309,765 + 45

= 20 + 309,765 + 45

= 309,785 + 45

= 309,830

Therefore, your answer is: 309,830

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

10 + 10 + 309,765 + 45 = ...

= 10 + 309,775 + 45

= 309,785 + 45

= 309,830

helpppppp plss thanks​

Answers

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

HURRY! THIS IS OVERDUE!

Pls help! I will mark brainliest!! No links, no stealing points, and only correct answers!!! I will report nonsense answers!!!

In which table does y vary directly with x?

Answers

Answer:

Answer is D

Step-by-step explanation:

The equation for D is y = x · 4

X      | Y

1 · 4 = 4

2 · 4 = 8

3 · 4 = 12

So Y varies directly with x in table D


Find the coordinates of the vertices of the triangle after a rotation
270° counterclockwise about the origin.

Answers

Answer:

it is a

Step-by-step explanation:

The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.

What is a transformation of a shape?

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The triangle ΔCDE is shown below.

The triangle ΔC'D'E' after a rotation 270° counterclockwise about the origin.

The triangle ΔCDE and ΔC'D'E' are shown on the graph.

The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.

The transformation of the triangle is given below.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ2

One day, Fiona and Heidi each bought coins at a coin shop. The equation f(x)=3x 12 represents the value of Fiona’s coin, in dollars, x years later. The graph shows the value of Heidi’s coin, in dollars, x years later. Select from the drop-down menus to complete the statement. When they bought their coins, Choose. Coin was worth Choose. More than Choose. Coin.

Answers

Answer:Fiona's,$6,Heidi's

Step-by-step explanation:

Because i did quiz.

The Western inventory was written by 4 different authors. Author A wrote 1/4 of the books, author b wrote 5/16 of the books, and author c write 3/8 of the books. What part of the inventory did author D write?

Answers

Answer:

Author D write 1/16 of the total number of books.

Step-by-step explanation:

Let the total number of books be b.  Then the amounts written by the four authors would be represented by:

(1/4)A

(5/16)A

(3/8)A

( ? )A

Add these together, realizing that the LCD here is 16:

(4/16)A

(5/16)A

(6/16)A

( ? )  A

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

(15/16)A must then equal the remainder of the work:  (16/16)A

Thus, Author D wrote (1/16)A of the books.  (Note that 4/16 + 5/16 + 6/16 + 1/16 = 1)

Author D write 1/16 of the total number of books.

A plane traveling to new york has 100 seats on board. if there are p passengers on the plane, which expression represents the number of empty seats there are on the plane

Answers

Hi math freindAnswer:

Step-by-step explanation:

can somebody help me qith this please, im not 100% what the answer is​

Answers

Answer: $129.96 per week

====================================================

Explanation:

1 year = 52 weeks (approximately)

If she earns $6758 in a year, then we divide that by 52 to find the approximate weekly income.

6758/52 = 129.9615 which rounds to 129.96

The box plots below show the average daily temperatures in January and December for a US city:
January
TH
December
What can you tell about the means for these two months (1 point)

Answers

Answer:

like i said no graph i cant help

Step-by-step explanation:

Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4

Answers

Step-by-step explanation:

when you do an arithmetic operation to functions, you do it for the defining expressions.

so,

(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7

(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12

= 4(x² + 4x + 3)

(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13

can some one help me

Answers

Answer:

y=x-3

Hope This Helps!!!

Choose the steeper line.
y=1/2x-3
or
y=1/4x -8

Answers

Hello there!

y=1/2x-3 is steeper than y=1/4x-8

The bigger the slope, the steeper the line.

Hope this helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex] here to help

find the measure of angle Y

Answers

9514 1404 393

Answer:

  y = 40°

Step-by-step explanation:

The diagonal BD divides angle D into two equal parts:

  y = 40°

Help me on this mathwork please

Answers

Answer:

m∠I = 56°

m∠1 = 30°

Step-by-step explanation:

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