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IrinaVladis [17]
2 years ago
8

Choose the definition for the function. please help me

Mathematics
2 answers:
fredd [130]2 years ago
7 0

9514 1404 393

Answer:

  A

Step-by-step explanation:

It is usually sufficient to look at one section of the graph to answer a question like this. Often the best choice is the section that has a solid dot at the end of the curve. Here, that is the right section.

The left end of the right section is at x=-2, so that part of the function is defined for x ≥ -2. The line to the right has a positive slope, so the coefficient of x will be positive.

Only one answer choice has a positive x-coefficient for x ≥ -2.

  \textbf{A. }\begin{cases}-x-2&\text{if }x

alisha [4.7K]2 years ago
4 0

Answer:

Step-by-step explanation:

This graph is made up of two different, separate line segments.  In other words, it comes in two pieces which can be described as a pair of linear functions.

We call this a "piecewise linear" function.  Choice A is the best one.

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The volume of the prism shown is 72in^3 what is the volume of a pyramid with the same base length, base width, and height?
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2 years ago
What is the area of a triangle with vertices (3,0) (9,0) (7,6)
Nezavi [6.7K]

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (3,0) (9,0) (7,6). So

A = \pm 0.5 \left|\begin{array}{ccc}3&0&1\\9&0&1\\7&7&1\end{array}\right|

A = \pm 0.5(3*0*1+0*1*7+1*9*7-0*7*1-0*9*1-3*1*7)

A = \pm 0.5*(63-21)

A = \pm 0.5*42 = 21

The area of the triangle is of 21 units of area.

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2 years ago
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