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Amanda [17]
3 years ago
6

Use the given function f(x)=|x| to graph g(x) =|x+2|-4

Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0

Answer:

  see the attachment for a graph

Step-by-step explanation:

The vertex of f(x) is (0, 0). The transformation g(x) = f(x -h) +k moves the vertex to (h, k). That is, the graph is translated right by h units, and up by k units.

Your transformation has h = -2, and k = -4. That is, the original graph is translated left 2 units and down 4 units. The result is the blue curve in the attachment.

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andre [41]
Your answer is 10.65
6 0
3 years ago
Simplify the expression. 8x^-10 y^'6 -2x^2y^-8 Write your answer without negative exponents.​
sergij07 [2.7K]

Answer:

8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^{14} - 2x^{12}}{x^{10}y^8}

Step-by-step explanation:

Given

8x^{-10}y^6 - 2x^2y^{-8}

Required

Simplify

Rewrite as:

8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^6}{x^{10}} - \frac{2x^2}{y^8}

Take LCM

8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^6*y^8 - 2x^2 * x^{10}}{x^{10}y^8}

Apply law of indices

8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^{14} - 2x^{12}}{x^{10}y^8}

8 0
3 years ago
Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per
givi [52]

Given :

Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per group.

Her tips averaged 18% of the total amount spent by all the groups of customers that day.

To Find :

Brianna's tip income earnings on Friday.

Solution :

Total amount of money spent by 12 groups :

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She got tip of 18% of the total amount spent by all the groups of customers.

T = P\times \dfrac{20}{100}\\\\T= 2232\times \dfrac{20}{100}\\\\T=\$446.4

Brianna's tip income earnings on Friday is $446.4 .

Hence, this is the required solution.

4 0
3 years ago
The sum of two numbers is twenty-four. The difference of the two numbers is four.
RSB [31]

Answer:

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x - y = 4

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You get,

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x =  \frac{28}{2}

x = 14

Given,

x + y = 24

14 + y = 24

y = 24 - 14

y = 10

You can test this to the other equation as well.

x - y = 4

14 - 10 = 4

Hence, the two numbers are 14 and 10.

3 0
3 years ago
explain why multiplying the numerator and denominator of a fraction by the same number results in an equivalent fraction
Tomtit [17]
Think:  You're treating the numerator and the denom. in precisely the same way.  In doing so you are NOT changing the value of the fraction, only the appearance.

Example:  start with 2/3.  Mult num. and den. both by 7:  14/21.

2/3 and 14/21 result in precisely the same decimal fraction, showing that the latter set of fractions is equivalent to the former set.

8 0
3 years ago
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