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3 years ago

Which direction does the graph of f(x) = −18 + x2 − 3x open?

1 answer:

7 0

Please write this equation as f(x) = −18 + x^2 − 3x

Rewrite it in descending order by powers of x: f(x) = x^2 - 3x - 18

Since the coefficient of the x^2 term is +, the graph opens UP.

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|4(x-3)|=15 PLS I NEED HELP ASAP

Aleks [24]

Answer:

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Step-by-step explanation:

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2 years ago

Help! I need this for tomorrow!

Masja [62]

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3 years ago

Can you help me with this question

Sphinxa [80]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number

yKpoI14uk [10]

Answer:

Hot dog sold = 33

Sodas Sold = 72

Step-by-step explanation:

Given:

At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold

To Find:

Number of soda/hot dog sold

Solve:

h + ( 39 + h ) = 105

h + 39 + h = 105

2h + 39 = 105

h + 19.5 = 52.5

h = 52.5 - 19.5

This as a system does not use any inequality. "39 more than" means, +39.

h = 33 meaning d= 72

Add to check Answer:

33 + 72 = 105

Thus,

Hot dog sold = 33

Sodas Sold = 72

Kavinsky

3 0

2 years ago

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

3 years ago