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Lemur [1.5K]
2 years ago
13

Which function has the given properties below? The domain is the set of all real numbers. One x-intercept is (2 pi, 0). The ampl

itude is 4. The point (StartFraction pi over 2 EndFraction, negative 4 EndFraction) is on the graph. The y-intercept is (0, 0). Y = –4sin(x) y = –4cos(x) y = 4sin(x) y = 4cos(x).
Mathematics
1 answer:
Tomtit [17]2 years ago
3 0

The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.

<h3>What is function?</h3>

A expressions defining a connection between the independent variable and dependent variable is known as the functions.

A feature that:

The domain is defined as the set of all real numbers.

a single x-intercept

The amplitude is four.

The y-intercept is defined as (0,0)

Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:

Hence  y = -4sin (x) and y = 4sin (x) has the given properties.

To learn more about the function refer to the link;

brainly.com/question/5245372

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Find the values of p and q such that 4x^2+12x=4(x+p)^2-q
-Dominant- [34]

Answer:

p = 1.5 and q = 9

Step-by-step explanation:

Expand the right side then compare the coefficients of like terms on both sides, that is

4(x + p)² - q ← expand (x + p)² using FOIL

= 4(x² + 2px + p²) - q ← distribute parenthesis

= 4x² + 8px + 4p² - q

Comparing coefficients of like terms on both sides

8p = 12 ( coefficients of x- terms ) ← divide both sides by 8

p = 1.5

4p² - q = 0 ( constant terms ), that is

4(1.5)² - q = 0

9 - q = 0 ( subtract 9 from both sides )

- q = - 9 ( multiply both sides by - 1 )

q = 9

7 0
3 years ago
3. Find the volume of the cylinder
liraira [26]
Diameter=16mm, so the radius is 8. The formula for volume of a cylinder is the area of the base times height, or v=πr²h.
Substituting the values in, we get π(8²)(5.7), which gives us roughly 1146mm^3.
4 0
3 years ago
What is the surface area of a sphere with a radius of 11 units?
postnew [5]

Answer:

Step-by-step explanation:

The surface area of a sphere with radius r is given by

S = 4 pi r^2

for a radius of 11 units,

S =  4 pi 11^2 = 484 pi = 1520.5 sq. units

This does not correspond to any of the answers.

Please check question.

6 0
2 years ago
Read 2 more answers
Diego solved an equation by multiplying both sides of the equation by 6. Then he checked that 6 is the correct solution by subst
Maslowich
I believe your answer would be c

8 0
3 years ago
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Mr. Suárez wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so
astraxan [27]

Answer:

Lateral surface area of the storage shed = 336 ft²

Step-by-step explanation:

The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.

lateral area of a rectangular prism = 2h (l + w)

where

l = length

h = height

w = width

h = 8 ft

l = 14 ft

w = 7 ft

lateral area of a rectangular prism = 2h (l + w)

lateral area of a rectangular prism = 2 × 8 × (14 + 7)

lateral area of a rectangular prism = 16 (21)

lateral area of a rectangular prism = 336 ft²

Lateral surface area of the storage shed = 336 ft²

7 0
2 years ago
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