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postnew [5]
3 years ago
13

write the equation of the transformed graph of sine with period pi that has been shifted vertically up 3 unit and has an amplitu

de of 3/4
Mathematics
2 answers:
gregori [183]3 years ago
6 0
(3/4)sin(2x)+3 is the transformed equation
____ [38]3 years ago
3 0

Answer:

f(x)=\frac{3}{4}\sin (2x)+3

Step-by-step explanation:

We have the function, f(x)=\sin x

It is required to form a function with period \pi, shifted vertically 3 units upwards and having amplitude = \frac{3}{4}

Now, as we know, 'If a function f(x) has the period P, then f(bx) will have period \frac{P}{|b|}'.

Since, the new function need to have period \pi, that is the value \frac{P}{|b|}=\pi i.e. \frac{2\pi}{|b|}=\pi.

So, b= 2 implies the new function is f(x)=\sin (2x)

Further, as the function need to be vertically shifted 3 units upwards, we get the new function,  f(x)=\sin (2x)+3.

Finally, the amplitude of the function must be \frac{3}{4}, this means that the maximum and minimum value of the function is \frac{3}{4} and \frac{-3}{4}.

This gives us the transformed final function is f(x)=\frac{3}{4}\sin (2x)+3.

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exis [7]
D
4(x+5) = (4)(x)+(4)(5)
6 0
3 years ago
3(12-8)/2*5-4 simplify or evaluate the following expressions
vekshin1

Answer:

26

Step-by-step explanation:

12-8=4

3(4)=12

12/2=6

6*5=30

30-4

26

4 0
3 years ago
Account A: $300 monthly deposits, interest rate is 4.2%. Account B: $250 monthly deposits, interest rate is 5.1%. Which account
Elan Coil [88]

Answer:

A

Step-by-step explanation:

We have to determine the future value of the annuity to determine which account has a greater value

Future value = Amount x annuity factor

annuity factor = Annuity factor = {[(1+r)^n] - 1} / r

Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14

Account B = 250  x[ (1.051)^15 - 1 ] / 0.051 = $5435,42

Account A will be greater

4 0
2 years ago
Ms Clark bought 9 yards of fabric. She used it to make 13 identical scarves. How many yards of fabric did she use to make each s
Alona [7]

Answer:

9/13 or 0.69 yards

Step-by-step explanation:

To find the amount of fabric per scarves, divide the number of yards by the number of scarves.

9/ 13 = 0.69 yards per 1 scarf

6 0
3 years ago
What is the value of n?<br><br> 5/2+2/3+n=1/6
d1i1m1o1n [39]
<span>15/6  + 4/6 +n = 1/6
18/6 = n
n=3
</span>
6 0
3 years ago
Read 2 more answers
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