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White raven [17]
3 years ago
9

find the product of the monomial and polynomial. classify/name your final answer. 2k^3(2k^2+5k-4) (10 Points)

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0
<span>• (2k2 + 5k - 4) </span> 

.

<span><span>     -8   +   1   =   -7</span><span>     -4   +   2   =   -2</span><span>     -2   +   4   =   2</span><span>     -1   +   8   =   7</span></span>


Final result :<span> 2k3 • (2k2 + 5k - 4) </span><span>
</span>
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Write a word problem that is solved by 43 ÷ 5= 8 R3, in which the remainder is the only part needed to answer the question.
Sonbull [250]
The answer should have been 8.6 that was wrong but it is okay you were close
6 0
3 years ago
Read 2 more answers
Write the equation, in standard form, of a polynomial of the least degree with integral
Hitman42 [59]

Answer:

f

(

x

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Explanation:

If the zero is c, the factor is (x-c).

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5

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(

x

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(

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Let's take a look at the factor

(

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. Using the factor in this form will not result in integer coefficients because

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Move the

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(

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When set equal to zero and solved, both

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x

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3

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=

0

and

(

3

x

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1

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=

0

result in

x

=

−

1

3

.

f

(

x

)

=

(

x

+

3

)

(

3

x

+

1

)

(

x

−

5

)

Multiply the first two factors.

f

(

x

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=

(

3

x

2

+

10

x

+

3

)

(

x

−

5

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Multiply/distribute again.

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x

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=

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x

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+

10

x

2

+

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−

15

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−

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5 0
3 years ago
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 335335 babies were​ born
strojnjashka [21]

Answer:

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

Step-by-step explanation:

Confidence Interval for the proportion:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 335, \pi = \frac{268}{335} = 0.8

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.7437

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.8563

For the percentage:

Multiplying the proportions by 100.

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

7 0
3 years ago
A. f(x) = l-2xl - 3<br> Domain: {1, 2, 3}<br> Find the range
gizmo_the_mogwai [7]

Hello there!

We are given the function:

\displaystyle \large{ f(x) =  | - 2x|  - 3} \\

To find the range, we know that domain is the set of all x-values and also called 'input' while range is the set of all y-values and also called 'output'.

Basic Function - you add the input, you get the output. You add x-value in a function, you get y-value. You add domain, you get range.

So, we substitute x = 1,2 and 3 in the function.

<u>x</u><u> </u><u>=</u><u> </u><u>1</u>

\displaystyle \large{ f(1) =  | - 2(1)|  - 3} \\   \displaystyle \large{ f(1) =  | - 2|  - 3} \\

Recall that any numbers in absolute value are always positive.

\displaystyle \large{ f(1) =  2 - 3} \\   \displaystyle \large{ f(1) =   - 1} \\

<u>x</u><u> </u><u>=</u><u> </u><u>2</u>

\displaystyle \large{ f(2) =  | - 2(2)|  - 3} \\   \displaystyle \large{ f(2) =  | - 4 |   - 3} \\   \displaystyle \large{ f(2) =  4 - 3} \\   \displaystyle \large{ f(2) =  1}

<u>x</u><u> </u><u>=</u><u> </u><u>3</u>

\displaystyle \large{ f(3) =  | - 2(3)|  - 3} \\   \displaystyle \large{ f(3) =  | - 6|   - 3} \\   \displaystyle \large{ f(3) =  6 - 3} \\   \displaystyle \large{ f(3) =  3}

Therefore, Range: {-1,1,3}

Let me know if you have any questions!

Topic: Absolute Value Function / Modulus Function

6 0
3 years ago
Ron earns a 15% commission on his sales in addition to a $1500 monthly salary. Determine his monthly sales goal if he budgets $3
Anastasy [175]

Answer:

His monthly sales goal if he budgets $3750 as his monthly income is $15000.

Step-by-step explanation:

From the information given, the formula to calculate the salary that Ron earns would be:

Total salary=1500+0.15*(monthly sales)

Now, you can replace the total salary and he budgets $3750 as his monthly income and solve for the monthly sales:

3750=1500+0.15*(monthly sales)

3750-1500=0.15*(monthly sales)

monthly sales=2250/0.15

monthly sales=15000

According to this, the answer is that his monthly sales goal if he budgets $3750 as his monthly income is $15000.

5 0
2 years ago
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