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2 years ago

Describe the piece wise function below by evaluating the function for given values of the domain.

Mathematics

1 answer:

zvonat [6]2 years ago

7 0

Answer:

y = -3 (x ≤ -2)
y = 2x - 3 (-2 < x ≤ 2)
y = 5 (2 < x)

Step-by-step explanation:

The leftmost piece of the function is constant at -3.

The middle piece is a line with a slope of 2 that intersects the y-axis at -3, so has equation y = 2x-3. (The slope-intercept form of the equation of a line is y = slope·x + y-intercept. The slope is found by counting the number of vertical grid squares that correspond to each horizontal grid square.)

The rightmost piece is constant at +5.

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The top surface of a desk has a length of 5.6 ft and the length is 4 times its width what is the width of the desk

IgorLugansk [536]

Answer:

<u>The width of the top surface of the desk is 1.4 feet.</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Length of the top surface of a desk = 5.6 feet

Width of the top surface of a desk= x

2. Let's find the width of the top surface of the desk

Length of the top surface of a desk = Four times the width

5.6 = 4x

5.6/4 = 4x/4 (Dividing by 4 at both sides)

1.4 = x

<u>The width of the top surface of the desk is 1.4 feet.</u>

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

David is going to invest $330 and leave it in an account for 20 years. Assuming the

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2 years ago

A right triangle has side lengths a, b, and c as shown below.

Musya8 [376]

Answer:

$\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}$

Step-by-step explanation:

Given that

A right triangle has side lengths a, b, and c

Because you did not attached photo of the right triangle so I will assume that:

Side a is the adjacent (A)
Side b is the opposite (O)
Side c is the hypotenuse (H)

(Please have a look at the attached photo)

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

$\sin x = \frac{O}{H}\\\cos x = \frac{A}{H}\\\tan x = \frac{O}{A}$

EX: the sine of x is equal to the side opposite of angle x over the hypotenuse. Hence, we have the expressions of the trigonometric functions as shown below:

$\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}$

Hope it will find you well

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2 years ago