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yarga [219]
3 years ago
10

Graph the piecewise function on the blank coordinate plane below. Please explain this to me step by step I don't fully understan

d this.

Mathematics
1 answer:
Damm [24]3 years ago
6 0
The definition just says that the graph is not all the same function.
It's pieces of two different functions ... the function changes at the
line  x = -1 .  The graph looks something like the attached picture.

The function on the left side is     y = x .
That's the graph starting from 10 miles left of the graph, and
all the way up to  x = -1 .  Surely you know how to draw   y = x .

At  x = -1, it changes to the other function.

The function on the right side is    y = -x .
That's the graph starting from  x = -1  and all the way out to
10 miles away on the right, or farther. 
Surely you know how to draw   y = -x .

That's all there is to it.  Different functions on different parts of the plane.
And as you can see on the attached picture, there's no guarantee that
they have to meet at the same point.  Sometimes they do and sometimes
they don't.  It just depends on how they're defined. 

Like, if the right-side function had been    y = -x - 2 , then the two pieces
would meet, and the whole graph would look like a big upside-down
letter ' V ', with its vertex at the point  (-1, -1) .

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Step-by-step explanation:

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3 years ago
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a d
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Answer:

The probability of event <em>A</em> is \frac{7}{11}.

The probability of event <em>B</em> is \frac{6}{11}.

Step-by-step explanation:

The sample space of rolling a fair six-sided dice is as follows:

S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

      (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

      (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

      (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

      (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

      (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

Now consider the experiment of the computing the sum of the two rolls as follows:

X = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Number of total outcomes, <em>N</em> = 11.

The probability of an event <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

The event <em>A</em> is defined as the sum is greater than 5.

The sample space of <em>A</em> is:

A = {6, 7, 8, 9, 10, 11, 12}

n (A) = 7

Compute the probability of event <em>A</em> as follows:

P(A)=\frac{n(A)}{N}=\frac{7}{11}

Thus, the probability of event <em>A</em> is \frac{7}{11}.

The event <em>B</em> is defined as the sum is an even number.

The sample space of <em>B</em> is:

B = {2, 4, 6, 8, 10, 12}

n (B) = 6

Compute the probability of event <em>B</em> as follows:

P(B)=\frac{n(B)}{N}=\frac{6}{11}

Thus, the probability of event <em>B</em> is \frac{6}{11}.

7 0
3 years ago
Find the surface area of a rectangular prism that has the following dimensions. length: 2 ft width: 14 in. height: 11 in. surfac
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3 years ago
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ASE
eimsori [14]

Answer:

128 deg

Step-by-step explanation:

The sum of the measures of the angles of a polygon of n sides is

(n - 2)180

A trapezium has 4 sides, so the sum of the measures of the angles is

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<em>m<CBE + m<C + m<D + m<DEB = 360</em>

Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.

m<ABC + m<CBE = 180

115 + m<CBE = 180

m<CBE = 65

m<C = x

m<D = 90

Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.

m<DEB + m<DEF = 180

m<DEB + m<103 = 180

m<DEB = 77

<em>m<CBE + m<C + m<D + m<DEB = 360</em>

65 + x + 90 + 77 = 360

x + 232 = 360

x = 128

Answer: 128 deg

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