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Lady bird [3.3K]
3 years ago
10

A) all real numbers; R: all real numbers.

Mathematics
1 answer:
Ivan3 years ago
4 0

Answer:

B

Step-by-step explanation:

The domain is all real numbers and the range is {y|y  ≥ –9}

{y|y  ≥ –9} is set notation that is saying that the y value can either be greater -9 or equal to 9

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Help please thank you
Ad libitum [116K]
In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other. 

Let's take the lengths 5x-12 and x+20 and set them equal to each other. 

5x - 12 = x + 20 

Combine like terms by moving them over to their respective sides.

Subtract x from both sides of the equation. 

4x - 12 = 20 

Add 12 to both sides of the equation. 

4x = 32 

Divide both sides by 4. 

x = 8 

Check your answer by substituting. 

5x - 12 = x + 20

5(8) - 12 = 8 + 20

40 - 12 = 28 

28 = 28

Solution: x = 8 




5 0
3 years ago
How do you write 31% as a fraction in simplest from
Illusion [34]
The fraction is 31/100, the decimal is 0.31 which means your simplest form is 31/100
4 0
3 years ago
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If a car was sold at an original price of $18,950, and the sales tax was 6%, what was the total price of the car?
Nadya [2.5K]

Answer: $20,087

Step-by-step explanation: $18,950 times 0.06 is sales tax equals $1137 add that to 18,950 and you get 20,087.

5 0
3 years ago
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Simplify <br><img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B%20-%20180%7D%20" id="TexFormula1" title=" \sqrt{ - 180} " alt="
QveST [7]

Answer: (6\sqrt{5})i

This is the same as saying 6i\sqrt{5}

====================================================

Work Shown:

\sqrt{-180} = \sqrt{-1*36*5}\\\\\sqrt{-180} = \sqrt{-1}*\sqrt{36}*\sqrt{5}\\\\\sqrt{-180} = i*6*\sqrt{5}\\\\\sqrt{-180} = 6i\sqrt{5}\\\\\sqrt{-180} = (6\sqrt{5})i\\\\

where i = \sqrt{-1}

As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule \sqrt{A*B} = \sqrt{A}*\sqrt{B} to break up the root.

The parenthesis used at the very end is to help separate the 6\sqrt{5} from the i term. The "i" is not under the square root.

4 0
3 years ago
makayla's local movie theater has a movie goer club that charges an annual registration fee of $25. however, movie tickets are d
KonstantinChe [14]
<span>C(m) = 6x + 25 would be your answer. </span>
6 0
3 years ago
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