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SOVA2 [1]
2 years ago
6

What is the range of the function y = 2sin X?

Mathematics
1 answer:
ruslelena [56]2 years ago
7 0

Answer:

Range: [-2, 2] {y | -2 ≤ y ≤ 2}

Step-by-step explanation:

The given function is y = 2sinx

We have to find the range of the given function.

Since at y-axis sine function has the variance between -1 to 1 so range of y = sinx is [-1, 1]

and if the amplitude of sine function is 2 then sine function will vary from -2 to 2 which implies that range of y = 2 sinx will be [-2, 2]

So range of y = 2sinx is [-2, 2]

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What is the equation of the line that passes through the point (3,6) and has a slope of -1/3
Mnenie [13.5K]

\Large\texttt{Answer\::}

Please consult the "Calculations" section of this ans .

\Large\texttt{Calculations\::}

The information we're given is below :

  • slope : -1/3
  • Point crossed by the line : (3, 6)

As per given information , we can do the following :

  • Write the line's equation in point slope form

Point - slope form looks like so :

y-y₁=m(x-x₁)

y-6=-1/3(x-3)

y-6=-1/3x+1

y=-1/3x+1+7

y=-1/3x+6

↑ \small\textsc{EQUATION OF THE LINE}

\small\textit{hope\:helpful~}

4 0
2 years ago
A family is having a pool built in their backyard. Their yard is rectangular and measures 14x by 19x and the pool is circular wi
valentina_108 [34]
You want to find the area left over after the pool is built, so subtract the area of the pool from the area of the yard.

Area of Yard= Base x Height = 14x*19x = 266x^2
Area of Circle= Pi x Radius^2 = (6x)^2*pi = 36x^2*pi

Now subtract the two areas:
266x^2-(36^2*pi)
266x^2-36x^2*pi

Take 2x^2 as a common factor:
2x^2(133-18pi)

D: <span>2x^2(133-18pi)

Hope this helps :)</span>
3 0
3 years ago
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number?
stellarik [79]
4-7= -3
-3x3= -9
answer is C
8 0
3 years ago
harlie invests $325 in an account that pays 8% simple interest for 15 years. Use the simple interest formula, I = P ∙ r ∙ t, to
Alina [70]

$390 is the interest will Charlie’s initial investment earn over the 15-year period. The money does Charlie have after the 15 years is $715.

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

Harlie invests $325 in an account.

  • Principal, P = $325
  • Interest rate, r = 8% ⇒ 0.08
  • Number of years, t = 15

<u>The formula to find the interest will Charlie’s initial investment earn over the 15-year period :</u>

⇒ I = Prt<u></u>

⇒ 325\times 0.08\times15

⇒ 390

Therefore, $390 is the interest will Charlie’s initial investment earn over the 15-year period.

<u>Money Charlie has after 15 years :</u>

It is given by the formula,

⇒ Amount = Principal + Interest.

⇒ 325 + 390

⇒ 715 dollars.

∴ The money does Charlie have after the 15 years is $715.

3 0
3 years ago
Read 2 more answers
An angle measures 156° less than the measure of its supplementary angle. What is the measure of each angle?
Advocard [28]

Answer:

Angle 1: 168

Angle 2: 12

Explanation:

I did the math! basically, i did 168-156, and got 12. Then i added, 168+12, and got 180. So i know that both angles together make 180 degrees, which is the definition of supplementary angles.

7 0
3 years ago
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