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ASHA 777 [7]
2 years ago
14

What is the range of the function g(x) = |x - 12| - 2?

Mathematics
1 answer:
PtichkaEL [24]2 years ago
8 0

Step-by-step explanation:

The function is given by

It is an absolute value function which has a v- shaped graph.

The vertex form of an absolute function is given by y = a|x-h| +k, where (h,k) is the vertex.

Comparing the given equation with this, we have

h = 12

k = -2

Hence, the vertex would be (12,-2).

Now, the range of the function is the set of y values for which the function is defined.

This function has vertex of (12,-2). hence, it would not take any values which are less than -2. Please see the attached graph.

Hence, the range would be the all y values greater than or equal to -2.

Hence, the range is given by

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8x

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Evaluate the expression:<br> -15-|15-|-15||
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\\ \sf\longmapsto -15-|15-|-15||

\\ \sf\longmapsto -15-|15-15|

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6 0
3 years ago
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Solve the system using the elimination method.
Sloan [31]

Answer:

x=151/64   y=9/8 z=-51/32

Step-by-step explanation:

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We have two equations 3y+4z=-3 and -2y+8z=-15 (We get it due to elimination method)

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-2y+8z=-15 (-3)

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3y= -96/32+204/32

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2x+2*9/8+5*(-51/32)=-1

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Three parallel lines are intersected by a transversal. twelve angles are created. one of the angles measures 48° how many of the
lozanna [386]
If there are twelve angles created, almost all of them are congruent. All the sides have to equal 180. If there are three parallel lines they must have 2 angles on each side. 3*2=6, there is a total of six with a measure of 48.
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3 years ago
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