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1 year ago

Write a cosine function for the graph.

Mathematics

1 answer:

Alik [6]1 year 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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Megan ate 3/4 of a cookie write an equivalent fraction for the amount of cookie megan did not eat

dexar [7]

Subtract what Megan ate from the whole.
4/4-3/4 = 1/4.
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3 years ago

Suppose you have a bag containing 2 black marbles and 3 red marbles. You reach into the bag, select a marble, see what color it

TiliK225 [7]

Answer:

$\dfrac{9}{25}$

Step-by-step explanation:

Given that the bag contains black and red marbles.

Number of black marbles in the bag = 2

Number of red marbles in the bag = 3

Total number of marbles in the bag = Number of black marbles + Number of red marbles = 2 + 3 = 5

Let us have a look at the formula for probability of an event E, which can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(\text{First red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5 }$

Now, the marble chosen at first is replaced.

Therefore, the count remains the same.

$P(\text{Second red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5}$

Now, the <em>required probability</em> can be found as:

$P(\text{First red marble})\times P(\text{Second red marble}) = \dfrac{3}{5}\times \dfrac{3}{5} = \bold{\dfrac{9}{25} }$

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3 years ago

The length of the rectangle is 3cm greater than the width of the rectangle.If the area of the rectangle is 40 square cm,what is

IgorLugansk [536]

Answer:

length=8

width=5

Step-by-step explanation:

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3 years ago

Explain how you can round 25.691 to the greatest place?

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3 years ago

Inverse of f(x) = x2 − 9

luda_lava [24]

To find the inverse of a function, replace every x in the equation with a y, and replace every y in the equation with an x:

$x = y^{2} - 9$

Add 9 to both sides:

$y^{2} = x + 9$

Square root both sides to get y by itself:

$y = \sqrt{x+9}$

This equation can be simplified by taking the square root of 9 out of the root:

$\sqrt{9} = 3$
$y = 3 + \sqrt{x}$

The inverse of this function is y = 3 + √x.

7 0

3 years ago

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