All categories

3 years ago

What are the zeros of the polynomial function f(x) = x3 - 2x2 - 24x?

Mathematics

2 answers:

emmainna [20.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

first factor out a variable: x(x^2-2x-24)

now solve the quadratic: x(x-6)(x+4)

When you set these expressions equal to zero, you get 0, 6, and -4 as your answers.

Nataliya [291]3 years ago

3 0

First factor out a variable: x(x^2-2x-24)
now solve the quadratic: x(x-6)(x+4)
When you set these expressions equal to zero, you get 0, 6, and -4 as your answers.

You might be interested in

Simplify:<br> k-10k+1 +<br> 1<br> 5k-2k-3<br> k-1

Ne4ueva [31]

Answer:

30k + 1 -1

Step-by-step explanation:

3 0

3 years ago

1. Write a number whose square is between 200 and 300.

Nadya [2.5K]

15

Square root of 200 = 14.14
Square root of 300 = 17.32

15^2 = 225

8 0

3 years ago

Joel has 24 sports trophies. Of the trophies 1/8 are soccer trophies. How many soccer does Joel have ?

tigry1 [53]

Answer:

We are given that Joel has 24 sports trophies, of the 24 trophies there are 1/8 soccer trophies.

1/8 of 24 is 3.

24 divided by 8 = 3 soccer trophies

There are 3 soccer trophies all the rest of the trophies, which is 21 trophies, will be other sports. 21 trophies + 3 soccer trophies = 24 trophies in total

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

3 0

2 years ago

A small hair salon in Denver, Colorado, averages about 82 customers on weekdays with a standard deviation of 16. It is safe to a

Natali5045456 [20]

Answer:

There is a 3.44% probability to get a sample average of 93 or more customers if the manager had not offered the discount.

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

A small hair salon in Denver, Colorado, averages about 82 customers on weekdays with a standard deviation of 16. This means that $\mu = 82, \sigma = 16$

She reports that her strategy has worked since the sample mean of customers during this 7 weekday period jumps to 93. What is the probability to get a sample average of 93 or more customers if the manager had not offered the discount?

This is 1 subtracted by the pvalue of Z when X = 93.

We also have to find a standard deviation of the sample(that is, the 7 days), so:

$s = \frac{\sigma}{\sqrt(7)} = \frac{16}{\sqrt(7)} = 6.05$

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

$Z = \frac{93-82}{6.05}$

$Z = 1.82$

$Z = 1.82$ has a pvalue of 0.9656.

This means that there is a 1-0.9656 = 0.0344 = 3.44% probability to get a sample average of 93 or more customers if the manager had not offered the discount.

6 0

3 years ago

Lola and Brandon had a running race. They ran 3/10 of a mile. Lola was in the lead for 4/5 of the distance. For what fraction of

Kruka [31]

Answer:

Lola was in lead for $\frac{6}{25}$ of a mile.