1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Irina18 [472]
3 years ago
6

The graph of a sinusoidal function has a maximum point at (0,10) and then intersects its midline at (pi/4,4). Write the formula

of the function, where x is entered in radians. f(x)=
Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer: y = 6 cos (2x) + 4

<u>Step-by-step explanation:</u>

A cosine function is expressed as: y = A cos (Bx - C) + D   where

  • amplitude (A) is the distance from the midline to the max/min.
  • B = 2π/P  where P is the period
  • C/B is the phase shift
  • D is the center line (aka midline)

A = Max - Midline

   = 10 - 4

   = 6

The max to the midpoint is π/4

⇒ 1/4 P = π/4

⇒ P = π

B = 2π/P    

  = 2π/π

  = 2

C = 0 because there is no phase shift

D = 4 (given)

Input A = 6, B = 2, C = 0, and D = 4 into the cosine function:

y = 2 cos (2x - 0) + 4

You might be interested in
What is the solution to 8(2x + 3) = 48?
Tom [10]
You have to start by using the distributive property. So you take the number next to the parentheses which is “8” and you multiply it with “2x”. This gives you “16x”. Then you multiply “8” with “3” and that gives you “24”. You now have the equation “16x + 24 = 48”.
The next step is to subtract “24” with “48”. This leaves you with “24”. Then you now have “16x = 24” as your new equation. The last step is to divide “16x” with “16”, this cancels it out with itself. Then you divide “24” with “16” and you get 1.5. So “X” equals 1.5 or you can convert it into a fraction witch gives you “3/4”.
6 0
3 years ago
Suppose you pay back $575 on a $525 loan you had for 75 days. What was your simple annual interest rate? State your result to th
KengaRu [80]

The <em>simple annual interest</em> rate for the $ 525 loan is equal to 46.35 %.

<h3>What is the interest rate behind a pay back?</h3>

In this situation we assume that the loan does not accumulate interests continuously in time. Hence, the <em>interest</em> rate for paying the loan back 75 days later is:

575 = 525 · (1 + r/100)

50 = 525 · r /100

5000 = 525 · r

r = 9.524

The loan has an <em>interest</em> rate of 9.524 % for 75 days. <em>Simple annual interest</em> rate is determine by rule of three:

r' = 9.524 × 365/75

r' = 46.350

The <em>simple annual interest</em> rate for the $ 525 loan is equal to 46.35 %.

To learn more on interests: brainly.com/question/26457073

#SPJ1

7 0
2 years ago
PLEASE HELP ME I HAVING TROUBLE
viktelen [127]

Answer: f(-6) = -\frac{12}{11}, f(-4) = \frac{8}{9}, f(4) = -\frac{8}{9}, f(6) = \frac{12}{11}

<u>Step-by-step explanation:</u>

(-6, f(-6)) is an x,y coordinate.  They are asking what the y-value is when you plug in -6 for x.

f(x) = \frac{2x}{x^{2}-25}

f(-6) = \frac{2(-6)}{(-6)^{2}-25}

      = \frac{-12}{36-25}

      = -\frac{12}{11}

f(-4) = \frac{2(-4)}{(-4)^{2}-25}

      = \frac{-8}{16-25}

      = \frac{-8}{-9}

      = \frac{8}{9}

f(4) = \frac{2(4)}{(4)^{2}-25}

      = \frac{8}{16-25}

      = \frac{8}{-9}

      = -\frac{8}{9}

f(6) = \frac{2(6)}{(6)^{2}-25}

      = \frac{12}{36-25}

      = \frac{12}{11}

5 0
3 years ago
Select all that apply.
omeli [17]
10:4 15:6 20:6 if those aren’t on there I ain’t ur guy
8 0
3 years ago
What is the equation of the line
cricket20 [7]
The answer is
(0,0)
Goodluck
6 0
2 years ago
Other questions:
  • How to solve 43a+10-26a=27
    7·2 answers
  • Which equation represents a line which is parallel to the line y=4x-8y=4x−8?
    11·1 answer
  • Can some one please help me?
    12·1 answer
  • Before she rides her bike, Saima warms up for 12 minutes. On Tuesday, Saima rode her bike for 52 miles. If it takes Saima 6 minu
    8·1 answer
  • Help plz with 17,18,19
    6·2 answers
  • If f(x)= 3x+6 which of the following is the inverse of f(x)
    14·2 answers
  • Three ships are situated as follows: A is 225 mi due north of C, and B is 375 mi due east of C. What is the bearing of (a) of B
    12·1 answer
  • The following sequence is arithmetic. 3, 1, 5, 2, 6, 4…. true or false
    12·1 answer
  • EASY!!! Answer this correctly.<br> I will mark brainleist.
    6·2 answers
  • Have to make the equation on the left look like the equation on the right. There are apparently only 2 steps but I can not figur
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!