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grigory [225]
3 years ago
15

Solve for y.

le" class="latex-formula">
Enter your answers in the boxes.
y = or y =
Mathematics
1 answer:
OverLord2011 [107]3 years ago
3 0
The solution has 2 answers

Y1= -7. Y2=7
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Determine the amplitude or period as requested. Period of a y = - 1/3 * sin x - 1/3 pi/3 1/3 d 2pi
zysi [14]

Answer:

Period = 2\pi

Step-by-step explanation:

Given

y = -\frac{1}{3} * \sin(x - \frac{1}{3})

Required

Determine the period

A sine function is represented as:

y =A \sin(Bx + C) + D

Where

Period = \frac{2\pi}{B}

By comparing:

y =A \sin(Bx + C) + D and y = -\frac{1}{3} * \sin(x - \frac{1}{3})

Bx = x

So:

B = 1

So, we have:

Period = \frac{2\pi}{B}

Period = \frac{2\pi}{1}

Period = 2\pi

Hence, the period of the function is 2\pi

6 0
3 years ago
When the solution to each of the two equations below are graphed in the xy coordinate plane, the graphs of the solutions interse
Anit [1.1K]
1.-3
2.-2
3.0
4.0
5.6
I hope this helps.:)
5 0
3 years ago
Find the height of a cone with a volume of 942 cubic units and a radius of 10 units
Dmitry [639]
Volume of a cone: \frac{1}{3}\pir²h
Plug the radius and volume in the formula.

\frac{1}{3}\pi10²h = 942
Divide both sides by \frac{1}{3}.

\pi10²h = 2,826
Divide both sides by pi.

10²h = 900
Divide both sides by 10² (100).

h = 9

The cone's height is 9 units.
3 0
3 years ago
Which of the following pairs of functions are inverses of each other?
aleksley [76]

Answer:

B. f(x) = 5(x/4) - 3 and g(x) = [4(x + 3)]/5

Step-by-step explanation:

In the figure attached, the question is shown (the order of the options are different).

To find the inverse of a function, first, replace x with g(x) and f(x) with x, as follows:

f(x) = 5(x/4) - 3

x = 5(g(x)/4) - 3

Next, isolate g(x), as follows:

x + 3 = 5(g(x)/4)

4(x + 3) = 5g(x)

[4(x + 3)]/5 = g(x)

3 0
4 years ago
The power generated by an electrical circuit (in watts) as a function of its current xxx (in amperes) is modeled by:
vodka [1.7K]

Answer:

<em>300watts</em>

Step-by-step explanation:

Given the power generated by an electrical device modeled by the equation

P(x) = -12x²+120x

The maximum power generated occurs when dP(x)/dx = 0

dP(x)/dx = -24x+120 = 0

-24x + 120 = 0

-24x = -120

x = 120/24

x = 5

Substitute x = 5 into the modeled function to get the maximum power as shown;

Recall that: P(x)=-12x^2+120x

P(5) = -12(5)² + 120(5)

P(5) = -12(25) + 600

P(5) = -300+600

P(5) = 300

<em>Hence the maximum power generated by the circuit is 300watts</em>

5 0
3 years ago
Read 2 more answers
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