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True [87]
3 years ago
5

Please help me with this question!!!!!! PLEASE.

Mathematics
2 answers:
DerKrebs [107]3 years ago
8 0

Answer:

B. -9, 7

Step-by-step explanation:

For the rational expression to be undefined the denominator has to equal 0.

x² + 2x - 63 = 0

Factor left side.

(x - 7)(x + 9) = 0

Set factors equal to 0.

x - 7 = 0

x = 7

x + 9 = 0

x = -9

x = -9 or x = 7

baherus [9]3 years ago
7 0

Answer:

B

Step-by-step explanation:

A rational expression is undefined when the denominator of the expression equals 0 (this is because anything over 0 is undefined). In other words, to find the values for which the given expression is undefined, we simply have to find the zeros of the denominator. We can ignore the numerator. Thus, let:

0=x^2+2x-63

This is now a quadratic. Solve for the quadratic. I will factor but you can do whatever you like (complete the square, quadratic formula, etc.).

We notice that two factors that multiply to -63 and also add to +2 is 9 and -7. Thus:

0=(x+9)(x-7)

x+9=0 ; x=-9

x-7=0; x=7

The zeros are -9 and 7.

The denominator will equal 0 at these values, and the expression will be undefined.

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Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

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Let x denotes the amount of soda in any can.

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Then, the probability that a randomly selected can will need to go through the mentioned process =  probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587

Hence, the required probability= A) 0.1587

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