Which value of HNK are used to write the function f(x) = x2 + 12x + 6 in vertex form?

Mathematics

1 answer:

anygoal [31]3 years ago

6 0

Answer:

( − 6 , − 30 )

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex ( h , k ) .

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Aiden buys two bags of chips at $1.09 each and a 20 ounce soda for $1.20 at the gas station.He knows that the state tax is 5.5.

Natalka [10]

Aiden will receive $1.43 from a $5 bill.

If the state tax is 5.5%, you can use the equation below to solve for the total cost, t.

t = 1.055 (2 × 1.09 + 1.20)
t = 1.055 (2.18 + 1.20)
t = 1.055 (3.38)
t = 3.5659

You can round 3.5659 to $3.57. Finally, you subtract 3.57 from 5 to find the amount of change Aiden will receive, c.

c = 5 - 3.57
c = 1.43

7 0

3 years ago

12% of children are nearsighted, but this condition often is not detected until they go to kindergarten. A school district tests

Klio2033 [76]

Answer:

There is a 34.60% probability that 0 or 1 of them is nearsighted.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they are nearsighted, or they are not. This means that we can solve this problem using the binomial probability distribution.

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 combinatios 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.

In this problem, we have that:

12% of children are nearsighted. This means that $p = 0.12$ .

A school district tests all incoming kindergarteners' vision. In a class of 18 kindergarten students, what is the probability that 0 or 1 of them is nearsighted?

There are 18 students, so $n = 18$