Which of the following is a polynomial function in factored form with zeros at -6,-2,and 3?

Mathematics

2 answers:

exis [7]3 years ago

8 0

The first one is the good one.

IRINA_888 [86]3 years ago

6 0

Answer:

A. $f(x)=(x+6)(x+2)(x-3)$

Step-by-step explanation:

The zeros or roots of a function are the numbers that when they are entered into the function the output will be 0.

We will evaluate the given numbers (-6,-2,3)to see in wich option all of them wil give us 0 in the output, Let´s start with the first option A) as follows:

$f(-6)=((-6)+6)((-6)+2)((-6)-3)=(0)(-4)(-9)=0$

$f(-2)=((-2)+6)((-2)+2)((-2)-3)=(4)(0)(-5)=0$

$f(3)=((3)+6)((3)+2)((3)-3)=(9)(5)(0)=0$

As we can see this is the correct option in which all of the values give us the output 0 adn we dont need to evaluate the resto of the options (B), C) and D))

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The time it takes to deliver a pizza (from time of phone call to delivery at door) follows a normal distribution with a mean (µ)

Yuki888 [10]

Answer:

99.87% of the store’s total delivery orders will be delivered to consumers with charge

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 45, \sigma = 5$

If a pizza store’s policy is, "Orders delivered within one hour or they’re free!", what percentage of the store’s total delivery orders will be delivered to consumers with charge?

Within one hour, which is 60 minutes. So this is the pvalue of Z when X = 60.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{60 - 45}{5}$