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Eduardwww [97]
3 years ago
15

What is the range of y= -5sin(x)

Mathematics
1 answer:
rewona [7]3 years ago
7 0

Answer:

[-5, 5]

Step-by-step explanation:

The range of the sine function is [-1, 1].

If we multiply the sine function by-5, the resulting range is [-5, 5], which is found by multiplying each element of [-1, 1] by -5.

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Select the correct answer from each drop-down menu. if f(x)=x^2+2x-3 and g(x)=x^2-9, find (f/g)(4) and (f+g)(4).
Nataly_w [17]

Answer:

(f/g)(4) = 3

(f + g)(4) = 28

Step-by-step explanation:

(f/g) = \frac{x^2+2x-3}{x^2-9}

(f + g) = 2x^2 + 2x -12

Simply plug in 4 for x in both equations to find you answer!

3 0
4 years ago
Of the 800 participants in a marathon, 120 are running to raise money for a cause. How many participants out of 100 are running
artcher [175]

Answer:

15 % are running for a cause.

Step-by-step explanation:

120 out of 800 are running for a cause.

So out of 100,  120 / 8

= 15 are running for a cause.

15 out of a 100 = 15%.

8 0
3 years ago
Read 2 more answers
What is 4( indicie-2) divided by 4 indicie 3
Bond [772]

Answer: The first rule: am × an = am+n. 3. 3. The second rule: (am)n = amn. 3. 4. The third ... three a's at the bottom can be divided out, so we are now left with a4. 1 that is a4. The same answer is obtained by subtracting the indices, that is, 7 − 3=4.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the geometric mean of 2 and 98. pls explain how to solve this in steps
Nikitich [7]
<h3>Answer:  14</h3>

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

Work Shown:

m=\text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{2*98}\\\\m = \sqrt{196}\\\\m = \sqrt{14^2}\\\\m = 14\\\\

The geometric mean of two numbers has us do two steps in this order

  1. Multiply the values
  2. Apply the square root

The geometric mean can be applied to more than two values. Regardless of how many values you have, you always multiply them out. However, the number of values will tell you what kind of root you'll take (eg: 3 values leads to a cube root; 4 values means you'll take a fourth root, etc).

8 0
3 years ago
Find the x-coordinates of the two points on the curve
scZoUnD [109]

Answer: x = {-2, 2}

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

Tangent means it is touching. Find the intersection of the two equations.

Solve the linear equation for y, then set the two equations equal to each other.

4y=x+8\qquad \rightarrow \qquad y=\dfrac{x+8}{4}

\dfrac{x-1}{x}=\dfrac{x+8}{4}\\\\\\\text{Cross multiply and solve for x:}\\4(x-1)=x(x+8)\\4x-4=x^2+8x\\.\qquad 0=x^2+4x+4\\.\qquad 0=(x+2)^2\\.\qquad 0=x+2\\.\qquad x=-2

To find the next point that is parallel to the linear equation and tangent to the curve, we need to use the linear equation with slope (m) = \dfrac{1}{4} and unknown b.

Let's try b = 0, then the equation of the linear equation is: y=\dfrac{1}{4}x

Set the equations equal to each other and solve for x:

\dfrac{x-1}{x}=\dfrac{x}{4}\\\\\\4(x-1)=x^2\\4x-4=x^2\\.\qquad 0=x^2-4x+4\\.\qquad 0=(x-2)^2\\.\qquad 0=x-2\\.\qquad x=2

This works!!!  If it didn't work, we would have tried other values for b until we arrived at a solution.

7 0
3 years ago
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