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wlad13 [49]
3 years ago
11

PLEASE HELP! We can translate ()=2|−2|−5 to the right 3 units and up 5 units to create (). Write the equation for function g.

Mathematics
1 answer:
alisha [4.7K]3 years ago
5 0

Answer:

g(x)=2\,|x-5|

Step-by-step explanation:

Recall that a horizontal translation (shift) in 3 units to the right involves directly subtracting 3 from the variable x (horizontal axis variable) , and that moving the function up 5 units involves adding to the whole function 5 units. That is:

g(x)=2\,|x-3-2|- 5+ 5\\g(x)=2\,|x-5|+0\\g(x)=2\,|x-5|

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Given:

The pair of expressions in the options.

To find:

The two expressions are equivalent for any value of y.

Solution:

Two expressions are equivalent for any value of y, iff they are equivalent.

3(3y+3)=3(3y)+3(3)

3(3y+3)=9y+9

Clearly, 3(3y+3) is not equivalent to 6y+6 or 9y+6. So, options A and B are incorrect.

9(y+3)=9(y)+9(3)

9(y+3)=9y+27

9(y+3)=27+9y

The expression 9(y+3) is not equivalent to 12+9y. So, option C is incorrect.

The expression 9(y+3) is equivalent to 27+9y.

Therefore, the correct option is D.

5 0
3 years ago
Number of weeks and amount of money in account chart
Contact [7]
The answer would be C.
3 0
2 years ago
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Ulleksa [173]

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8 0
2 years ago
What is the value of p?<br><br> A. 125°<br> B. 45°<br> C. 35°<br> D. 550
Vikki [24]

Answer:

C- 35 °

Step-by-step explanation:

Interior angle adjacent to 90° angle = 90° (supplementary angles of a line segment).

Interior angle adjacent to 125° angle = 55° (supplementary angles of a line segment).

Sum of two interior angles of the triangle = 55+90 = 145°

∠p = 180° - 145° = 35°

5 0
3 years ago
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atroni [7]

Answer:

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Step-by-step explanation:

Here we have

Speed of rowing the boat = 3 mph

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Since the speed of walking is more than that of to row the  boat, the location of where he should dock his boat in order to minimize the total time he would need to reach the house is the shortest distance across the river to the house

Therefore the location of the point (P) should be directly opposite the house across the water and the distance id 0.9 miles.

3 0
3 years ago
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