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kiruha [24]
3 years ago
15

What’s the amplitude,period,equation of axis, and range for y=3sin[2(x+90)]?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0

Answer:

  • amplitude: 3
  • period: π
  • axis: y = 0
  • range: [-3, +3]

Step-by-step explanation:

The amplitude is the multiplier of the sine function: 3.

The period is 2π divided by the coefficient of x: 2π/2 = π.

The equation of the axis is any added constant: y = 0.

The range is the axis value ± the amplitude value: from -3 to +3.

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Let a be an irrational number would ​ 64/a be rational or irrational???
Mars2501 [29]
It is irrational because you have and unsolved variable
8 0
4 years ago
Read 2 more answers
A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15.00 for any other services. Write a function
wolverine [178]
You have a fixed rate of $25, meaning you get a haircut, it's $25

ANY other service is an extra $15

So, let's make the equation...

y=15x+25

Now, to just get a haircut it's $25.

But, let's say you get a haircut+shampoo

It'd be..

y=15(1)+25

y=$40

Another one..

You get a haircut+shampoo+highlight

y=15(3)+25

y=$70
3 0
3 years ago
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone
nevsk [136]

Answer:

a) 6 gigabytes

b) $100

Step-by-step explanation:

Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

For the first smartphone

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.

Equation =

c = 52 + 8d

For the Second smartphone

A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.

Equation =>

c = 82 + 3d

How many gigabytes would have to be used for the plans to cost the same?

We would equate both cost to each other

52 + 8d = 82 + 3d

Collect like terms

8d - 3d = 82 - 52

5d = 30

d = 30/5

d = 6

Therefore,

a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.

b) The cost of both plans if 6 gigabytes is used =>

c = 52 + 8d

c = 52 + 8 × 6

c = $100

3 0
3 years ago
HELPPP ASAP PLZ!!!! Will mark you brainliest
mihalych1998 [28]

Answer: B and D

Step-by-step explanation:

A. States that the length of AB is -3. No, it should be 3. So that is incorrect.

B. States that the absolute value of 6-1 is the length of BC. It is 5. That is correct.

C. AB + AC = 3+8 = 11. BC is 5. That is incorrect.

D. AB + BC = AC. 3+5= 8. AC is 8. That is correct.

E. The length is not 6. It is 5. That is incorrect.

Hope that helps!

8 0
3 years ago
Complete the recursive formula of the geometric sequence 500, 200, 80, 32, ....
Ksju [112]

Answer:

times 0.4

Step-by-step explanation:

The recursive formula allows a term in the sequence by multiplying the previous term by the common ratio r

Here

r = \frac{200}{500} = \frac{2}{5} = 0.4

Thus the recursive formula is

c(n) = c(n - 1) × 0.4 → with c(1) = 500 ← the first term in the sequence

8 0
3 years ago
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