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svetoff [14.1K]
2 years ago
11

Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement. The poly

nomial simplifies to an expression that is a with a degree of .
Mathematics
1 answer:
Alona [7]2 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement.

(-5x² - 2x + 4) + (8x² - x - 1) + (x + 2)(x - 5)

.The polynomial simplifies to an expression that is a____

A.quadratic

B.liner

C.constany

A.trinomial

B.binomial

C.monomial

with a degree of____

A.1

B.2

C.0

Solution:

A polynomial is an expression involving operations of addition, subtraction, multiplication, exponents which consists of variables and their coefficient. A trinomial is a polynomial consisting of three terms, while a binomial consist of two terms and a monomial consist of one term.

The degree of a polynomial is the highest degree of any of the terms of the polynomial. If it has a degree of 0 it is a constant, a degree of 1 it is linear while for a degree of 2 it is quadratic.

(-5x² - 2x + 4) + (8x² - x - 1) + (x + 2)(x - 5)

= (-5x² - 2x + 4) + (8x² - x - 1) + (x² -5x + 2x - 10)

= (-5x² - 2x + 4) + (8x² - x - 1) + (x² - 3x - 10)

= (-5x² + 8x² + x² - 2x - x - 3x + 4 - 1 - 10)

= 4x² - 6x - 7

Therefore:

.The polynomial simplifies to an expression that is a quadratic trinomial of degree 2.

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I’m not sure but I tried
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3 years ago
Arielle wants to make a circular garden. She has enough fencing for a garden circumference of 15 feet. There is a 7-foot gap bet
lesantik [10]

Answer:

yes

Step-by-step explanation:

We need to check if the circle with a circumference of 15 feet is smaller then 7 feet. If so it possible.

Formule for circular circumference = pi * diameter, which should be 15.

So pi * d =15

There fore d = 15/pi

d = 4.77464829275686 feet, which is smaller then 7 feet, so it will fit easilly.

3 0
2 years ago
Someone claims that the average amount of time that a freshman at TAMU studies is 7 hours. We think it’s higher than that and de
Stels [109]

Answer:

Test statistic t = 5.25

P-value = 0.000002 (one-tailed test)

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=7\\\\H_a:\mu> 7

The significance level is 0.05.

The sample has a size n=49.

The sample mean is M=8.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√s^2=√4=2.

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

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{49}}=0.29

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{8.5-7}{0.29}=\dfrac{1.5}{0.29}=5.25

The degrees of freedom for this sample size are:

df=n-1=49-1=48

This test is a right-tailed test, with 48 degrees of freedom and t=5.25, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>5.25)=0.000002

As the P-value (0.000002) 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 the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

6 0
3 years ago
Whats is 51,487 rounded to the nearest thousands?
ira [324]
50,000 is the answer to the question
8 0
3 years ago
Read 2 more answers
1
Leokris [45]

Answer:

Total = 104\ hrs

Step-by-step explanation:

Given

Monday = 15\ hrs

Tuesday = 13\ hrs

Wednesday = 24\ hrs

Required

Determine the hours of practice over 6 days

First, we calculate the hours for the given 3 days.

Hours = Monday + Tuesday + Wednesday

Hours = 15\ hrs + 13\ hrs + 24\ hrs

Hours = 52\ hrs

The hours of practice for the other three days is also 52 hours.

So, the total is:

Total = 52\ hrs + 52\ hrs

Total = 104\ hrs

4 0
2 years ago
Read 2 more answers
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