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7 months ago

Write a cosine function for the graph.

Mathematics

1 answer:

Alik [6]7 months ago

6 0

The correct option A: y = -4 cos Ф/4, is the cosine function for the graph.

<h3>Define the term cosine function?</h3>

The ratio between the angle's adjacent leg and the hypotenuse when it is regarded as a leg of a right triangle is a trigonometric function for an acute angle.

One of the three fundamental trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.

Y=cos(x) has its greatest value when x = 2nπ, wherein n is an integer.
Y=cos(x) has a lowest value for x= π+2nπ , wherein n is an integer.

For the given graph,

cosine function: y = -4 cos Ф/4.

In which, -4 is the amplitude (maximum displacement from the x axis).

Negative sign shows, the displacement is taken along negative y-axis.

And, Ф/4 is the phase angle.

Thus, the cosine function for the graph is y = -4 cos Ф/4.

To know more about the cosine function, here

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Combine like terms, need help ASAP

Serga [27]

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2 years ago

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Leto [7]

Answer:

see explanation

Step-by-step explanation:

(1)

Given

g(r) = (r + 14)² - 49

To obtain the zeros, let g(r) = 0 , that is

(r + 14)² - 49 = 0 ( add 49 to both sides )

(r + 14)² = 49 ( take the square root of both sides )

r + 14 = ± $\sqrt{49}$ = ± 7 ( subtract 14 from both sides )

r = - 14 ± 7, then

r = - 14 - 7 = - 21 ← smaller r

r = - 14 + 7 = - 7 ← larger r

(2)

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

g(r) = (r + 14)² - 49 ← is in vertex form

with vertex = (- 14, - 49 )

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2 years ago

Solve and check the linear equation. 3(x-2) + 8 = 2(x + 5)

ANEK [815]

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3(x - 2) + 8 = 2(x + 5)

Step 2: Solve for x

(Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10
Combine like terms: 3x + 2 = 2x + 10
{Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10
[Subtraction Property of Equality] Subtract 2 on both sides: x = 8

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 3(8 - 2) + 8 = 2(8 + 5)
(Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)
Multiply: 18 + 8 = 26
Add: 26 = 26

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

An artist sells original hand painted greeting cards. He makes $2.50 profit on a small card and $4.00 profit on a large card. He

Marysya12 [62]

Since he sells 5 large cards for every 2 small, we can multiply the number of small cards he needs to sell by 2.5 to find how many large cards he needs to sell.

So let x=the number of small cards sold, and 2.5x=the number of large cards sold

The equation is:Total profit=x+(2.5x)

Since a small card is $2.5, a large card is $4, and the total profit will be $10,000 plug those in to make the equation:

10,000=2.5x+4(2.5x)

We can combine the x's to get 10,000=12.5x and then divide both sides by 12.5 to get x=800.

So he needs to sell 800 small cards.

Multiply that by that 2.5.

And he needs to sell 2000 large cards.

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2 years ago