All categories

3 years ago

Consider the polynomial function p given by p(x)=7x^3-2x^2+3x+10. Evaluate the function for p(-3). Show your work.

Mathematics

2 answers:

jek_recluse [69]3 years ago

8 0

Answer:

-206

Step-by-step explanation:

Leading coefficient: 7

Constant: 10

Degree: 3 (cubic)

p(-3) = 7(-3)³ - 2(-3)² + 3(-3) + 10

= -206

Norma-Jean [14]3 years ago

3 0

Answer:

$p(-3)=-206$

Step-by-step explanation:

$p(-3)=7x^3-2x^2+3x+10$

$p(-3)=7(-3)^3-2(-3)^2+3(-3)+10$

$p(-3)= 7(-27)-2(9)-9+10$

$p(-3)= -189-18-9+10$

$p(-3)= -206$

In the function p(x), the leading coefficient is 7, the constant is 10, and the degree is 3.

Hope this helps!

You might be interested in

Lorenzo ate 25 of his bag of almonds. His 4 friends ate equal shares of the remaining bag of almonds. Which expression represent

LiRa [457]

Answer:

(x - 25) / 4

Step-by-step explanation:

In this scenario, we have one unknown variable which is the total of the bag of almonds, therefore we can represent this with the variable x. Since Lorenzo ate 25 of this bag we would need to subtract this from the total of the bag. Then we need to divide the remainder by 4 since each of his friends ate the rest in equal parts. This would leave us with the following expression ...

(x - 25) / 4

3 0

3 years ago

Which statement is not true about the pattern shown?<br> 2 4 8 16<br> 3: 612' 24'

hram777 [196]

Answer:

Each fraction is greater than the previous fraction.

Explanation:

The bigger the denominator, the smaller the fraction.

8 0

3 years ago

Read 2 more answers

In a study of parents' perceptions of their children's size, researchers asked parents to estimate their youngest child's height

tatyana61 [14]

Answer:

Test statistic t=6.505

P-value=0

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that parents tend to underestimate their youngest child's size.

Then, the null and alternative hypothesis are:

$H_0: \mu=0\\\\H_a:\mu> 0$

The significance level is assumed to be 0.05.

The sample has a size n=39.

The sample mean is M=7.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7.2}{\sqrt{39}}=1.153$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.5-0}{1.153}=\dfrac{7.5}{1.153}=6.505$

The degrees of freedom for this sample size are:

$df=n-1=39-1=38$

This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>6.505)=0$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that parents tend to underestimate their youngest child's size.

5 0

3 years ago

128 ounces is how many pounds

LiRa [457]

Answer:

An ounce is a unit of weight equal to 1/16th of a pound or about 28.35 grams.

A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.

Step-by-step explanation:

128 Ounces =

8 Pounds

6 0

3 years ago

Read 2 more answers

Determine if the given set is a subspace of set of prime numbers P 2. Justify your answer. The set of all polynomials of the for

devlian [24]

Answer:

All polynomials of the p=at² where a is in R is a subspace Pn for an appropriate value of n do not fulfill the condition and hence do not form the subspace

Step-by-step explanation:

Check attachment

7 0

3 years ago