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creativ13 [48]
3 years ago
15

What is the amplitude of the sinusoid's graph? y = -4 sin 3x

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

Amplitude = 4

Step-by-step explanation:

The general form of a sine curve would be  y=ASin(bx)  where A is the <u>"amplitude"</u>, or the "tallness" or "shortness" of the graph.

Technically, amplitude is the absolute value of the number that is multiplied in front of "Sin". So the amplitude is 4.

<u>Note:</u> The negative sign in front of 4 plays the role of "flipping" the curve upside down.

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If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
STALIN [3.7K]

Answer:

-40x

Step-by-step explanation:

f(x) =-3x-5

g(x) =4x-2

(f+g)(x) =?

now,

f(g(x))

=f(4x-2)

=-3×4x-2-5

=-10×4x

=-40x

7 0
2 years ago
Which of the tables represents a function?<br><br> 1. Table A 2. Table B 3. Table C 4. Table D
rosijanka [135]

Table D because the  x values don’t repeat

7 0
3 years ago
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Which of the following correctly shows the distributive property?
exis [7]
D
4(x+5) = (4)(x)+(4)(5)
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3 years ago
Identify the zeros of f(x)= (x-7)(x+4)(3x-2) Choices:
Kobotan [32]

Answer:

second option

Step-by-step explanation:

Given

f(x) = (x - 7)(x + 4)(3x - 2)

To find the zeros let f(x) = 0, that is

(x - 7)(x + 4)(3x - 2) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 4 = 0 ⇒ x = - 4

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \frac{2}{3}

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7 0
3 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

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So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

So, z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1

So, Volume of largest rectangular box would be

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Hence, the volume of largest rectangular box is 4.5 units.

4 0
3 years ago
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