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Kamila [148]
3 years ago
7

Simplify the rational expressions. State any excluded values. X^2-4/2-x

Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer:

-x-2;  x\neq2

Step-by-step explanation:

\frac{x^2-4}{2-x}-->

\frac{(x-2)(x+2)}{(2-x)} -->

-(x+2); x CAN'T equal 2, because the denominator of the original fraction would be 0, which would make the term undefined.

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Answer: Andy has 30 dollars left

Step-by-step explanation: 38 - 5 - 3 = 30

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State whether -4^-2 and (-4)^-2 represent the same quantity
timofeeve [1]
A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, "x^-2" just means "x2, but underneath, as in 1/x^2.

-4^-2 means the power -2 is only applied to 4 and not the negative sign. -4^-2 = -(4^-2), which is equal to -1/16.

Whereas, (-4)^-2 means the power -2 affects on both negative sign and 4. For example, (-4)^2 is equal to (-4 * -4) which is just 16. Moving on, with (-4)^-2 equals to 1/(-4*-4) = 1/16.

//Hope this helps.
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3 times the difference between 41 and 30
Katen [24]

Answer:

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Jeremy is randomly selecting ans outfit to celebrate probability day at his school.He can chose from a green or purple shirt, de
viva [34]
Jeremy can choose his outfit in following ways:
2 ways to select a shirt
2 ways to select a pant
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3 ways to select the footwear.

Total number of ways to select the dress = 2 x 2 x 2 x 3 = 24 ways

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So there are 2 ways to select a shirt, 1 way to select the pant, socks and footwear. So Jeremy can select the desired outfit in 2 ways.

Thus, the probability that Jeremy will select an outfit that includes flip-flops, argyle socks and denim pants = 2/24 = 1/12
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