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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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A customer bought a car and paid $1,080 in sales tax. The sales tax rate is 6%. What was the price of the car before the tax?

Helga [31]

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3 years ago

Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 25 points!!!

melomori [17]

Answer:

greg

Step-by-step explanation:

6 0

3 years ago

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Perform the indicated operation. 15b/4 * 8/9a^2b^2

Sergio [31]

Answer:

The simplified expression is $\frac{10}{3 a^2 b}$

Step-by-step explanation:

The given expression is:

$\frac{15b}{4} * \frac{8}{9a^2 b^2}$

Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:

$= \frac{120b}{36 a^2 b^2} \\\\$

Divide both the numerator and the denominator by 12b:

$= \frac{120b /12b}{36 a^2 b^2/12b}$

The expression finally becomes:

$= \frac{10}{3 a^2 b}$

7 0

3 years ago

The graph of h(x) is a translation of f(x)=3 √x

Gnoma [55]

Answer:

$h(x)=\sqrt[3]{x+2}$

Step-by-step explanation:

we have

$f(x)=\sqrt[3]{x}$

The inflection point of f(x) is the point $(0,0)$

The inflection point of h(x) is the point $(-2,0)$ -----> see the given graph

the rule of the translation of f(x) to h(x) is

$(x,y)------> (x-2,y)$

That means------> The translation is $2$ units to the left

therefore

The equation of h(x) is equal to

$h(x)=\sqrt[3]{x+2}$

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3 years ago

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Unit 3, Lesson 7

aksik [14]

Answer:

Find the complete table in attached file.

Step-by-step explanation:

Find the Incomplete table in attached file

Given:

A car travels 55 miles per hour for 2 hours.

So the speed of the car 55 miles per hour is constant for 2 hours.

Using speed formula.

$Speed=\frac{distance}{time}$

Second row.

From the second row of the table $time = \frac{1}{2}=0.5\ sec$ and speed is constant $speed = 55\ mi/hr$ , so we need to find only distance.

$Speed=\frac{distance}{time}$

$55=\frac{distance}{0.5}$

$distance = 55\times 0.5$

$distance = 27.5\ mi$

Third row.

From the third row of the table $time =1\frac{1}{2}=\frac{3}{2} = 1.5\ sec$ and speed is constant $speed = 55\ mi/hr$ , so we need to find only distance.