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alina1380 [7]
3 years ago
9

Select the correct answer. If f(x) = |x| - 4, which translation is applied fo f(x) to get g(x)?

Mathematics
1 answer:
solmaris [256]3 years ago
8 0

Answer:

It is a vertical translation of f(x) four units downward.

Step-by-step explanation:

We are given the original equation f(x) = |x| and the transformed function is g(x) = |x| - 4.

It is clear that the transformed function that g(x) = f(x) - 4.

So, the y-value in g(x) is reduced by 4 units from the y-value of f(x) i.e. the transformation is by 4 units down of function f(x).

Therefore, it is a vertical translation of f(x) four units downward. (Answer)

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Order the side lengths from least to greatest
Liula [17]

Answer:

BC < CE < BE < ED < BD

Step-by-step explanation:

In the triangle BCE,

m∠BEC + m∠BCE + m∠CBE = 180°

m∠BEC + 81° + 54° = 180°

m∠BEC = 180 -  135

m∠BEC = 45°

Order of the angles from least to greatest,

m∠BEC < m∠CBE > mBCE

Sides opposite to these sides will be in the same ratio,

BC < CE < BE ----------(1)

Now in ΔBED,

m∠BEC + m∠BED = 180°

m∠BED = 180 - 45

             = 135°

Now, m∠BDE + m∠BED + DBE = 180°

11° + 135°+ m∠DBE = 180°

m∠DBE = 180 - 146

             = 34°

Order of the angles from least to greatest will be,

∠BDE < ∠DBE < ∠BED

Sides opposite to these angles will be in the same order.

BE < ED < BD ----------(2)

From relation (1) and (2),

BC < CE < BE < ED < BD

7 0
3 years ago
PLEASE HELP ASAP!! Will give BRAINLIEST if correct answer is given.
Mrrafil [7]

Answer:

The mode and Median would be lower than the mean.

Step-by-step explanation:

The distribution data is positively skewed which means that most of the data would be towards the lower side. In this situation the mean is higher than the mode and median. Dr. Hammer has distribution data which is positively skewed so the mode and median will be lower than the mean.

5 0
3 years ago
Find g'​(t) for the function ​g(t) = 7/t^4
Alex17521 [72]

The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

<h3>What is differentiation?</h3>

The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.

Given that:-

g(t)= \dfrac{7}{t^4}

The derivative will be calculated as:-

g'(t)=7   \dfrac{d}{dt}(t^{-4})\\\\\\g'(t)=7\times (-4t^{-5})\\\\\\g'(t)=\dfrac{-28}{t^5}

Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

To know more about derivatives follow

brainly.com/question/954654

#SPJ1

3 0
2 years ago
What is 2x+18 factored
Darina [25.2K]

Answer:

2(x+9)

Step-by-step explanation:

2x+18

find the common number which can fit into 2x and 18

in this case the number is 2

so; 2(x+9)

7 0
2 years ago
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The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each b
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Answer:

HELP ME!?

Step-by-step explanation:

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