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Westkost [7]
3 years ago
5

If p(x)=2x^2-4 and q(x)=x-3, what is (p•q)(x)

Mathematics
1 answer:
olasank [31]3 years ago
6 0
(p of q)(x) means that q(x) is inserted into p(x).

p(q(x)) = 2(x - 3)^2 - 4

Expand (x - 3)^2.

p(q(x)) = 2(x^2 - 6x + 9) - 4

p(q(x)) = 2x^2 - 12x + 14

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algol [13]

Answer:

y= 5.333

Step-by-step explanation:

4 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Gelneren [198K]

Answer:

4

Step-by-step explanation:

Hurley drank between 4 and 5 liters of water for 8 different days and drank between 1 or 2 liters of water on 4 different days. To find the answer we have to use the following equation.

# of days Hurley drank (4-5 L) - # of days Hurley drank (1-2 L) = # of more days

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4 0
3 years ago
1. r - 29 = -2r + 19
Sphinxa [80]

Answer: r=16

Step-by-step explanation:

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r=−2r+19+29

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7 0
3 years ago
The Census Bureau's Current Population Survey shows that 28% of individuals, ages 25 and older, have completed four years of col
gizmo_the_mogwai [7]

Answer:

19.35% probability that five will have completed four years of college

Step-by-step explanation:

For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

28% of individuals

This means that p = 0.25

For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?

This is P(X = 5) when n = 15. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{15,5}.(0.28)^{5}.(0.72)^{10} = 0.1935

19.35% probability that five will have completed four years of college

5 0
3 years ago
a regular polygon has a perimeter of 36 inches. each side is exactly 6 inches long. which figure does this discribe?
fgiga [73]
Since a side is only 6 inches long and the total perimeter is 36; take 36/6 and you get 6. The only figure with six sides is a hexagon, thus your answer is hexagon.
3 0
3 years ago
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