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PtichkaEL [24]
3 years ago
5

What points are on the graph ( the function is y=-x^2+12)

Mathematics
1 answer:
Rudik [331]3 years ago
3 0
Y=-x²+12

This is a parabola opening downward because the coefficient of x² =1 >0

The domain (the value of the input of x) is all real numbers.

to find some points (& you can extend to 1,000,000 points) that are on the graph, replace x by any value & you'll find the related value of y

Example:
f(1)= 1²+12 = 13 ==> for x=1 y=13 & this points ∈ to the parabolas
f(2) = 2²+12 =16 ===> for x=2, y=16) this points ∈ to the parabolas
and so on & so forth
 
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Answer:

(c - a, b)

Step-by-step explanation:


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You question is of two parts.
For the first part:
<span>A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated.

\begin{center}&#10;\begin{tabular}&#10;{|c|c|c|c|c|}&#10; & Cats & Dogs & Other & Total \\ [1ex]&#10;Male & 42 & 58 & 6 & 106 \\&#10;Female & 52 & 48 & 2 & 102 \\ [1ex]&#10;Total & 94 & 106 & 8 & 208&#10;\end{tabular}&#10;\end{center}

</span>Let event A be defined as randomly choosing someone who picked cats or dogs as their favorite pet. Let event B be defined as a randomly chosen person being male.
Find P(B| NOT A).

P(A) = P(choosing cat) + P(choosing dog) = \frac{94}{208} + \frac{106}{208} = \frac{200}{208} = \frac{25}{26}
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P(B | NOT A) = \frac{P(B \, and \, NOT \, A)}{P(NOT \, A)} = \frac{ \frac{3}{104} }{ \frac{1}{26} } =\frac{3}{104}\times26= \frac{3}{4}


For the second part of the question.
<span>Petey is considering investing $19 in a certain company. Financial advisors forecast that there is a 30% chance that the stock will increase in value by 10%, and a 70% chance he will lose his initial investment. Determine if Petey should make the investment, and find the expected value of the investment.

If his investment increases by 10%, the value of the investment will be 1.1 x $19 = $20.90 with a probability of 30% or 0.3

The expected value of the investment is given by
\$20.90\times0.3+(-\$19\times0.7)=\$6.27-\$13.30=-\$7.03

Therefore, Petey should not make the investment as there is an expectation of a loss from the investment.
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