Khan Academy
Factor using polynomial division
The polynomial p(x) = x3 + 7x2 – 36 has a known factor of (x + 3).
Rewrite p(x) as a product of linear factors.
p(2) =

Answer:

you place the 1 under the integer and follow the steps keep change it flip it . SO basically you keep the integer and the 1 and you change the sign to division and you place the numerator where the denominator is and the  denominator goes where the numerator is.

Step-by-step explanation:

Answer:

Step-by-step explanation:

- 2.5(4w - 4) = -6

-2.5×4w+2.5×4=-6

-10w+10=-6

-10w=-6-10

-10w=-16

Cancel the -sign from both side soqe get

10w=16

W=16/10

W=1.6

So the value of w is 1.6

Answer:

6 votes!

Step-by-step explanation:

Albert: 60% of 30= 18

Anthony: 40% of 30= 12

18 - 12= 6

Answer:.

Step-by-step explanation:

Answer:

The answers are B and D.

Step-by-step explanation:

Here's why .... 5/6 times 13 will give you Less than 13 and so will 3/4 times 13 But D is equal to 13 and B is more than 13 and the question asks for the value to be greater OR equal to.

Answer:

A loan discount point reduces the interest rate that is paid on a home loan. One point reduces the interest rate by 1/8 of a percent, which reduces the amount of the monthly payment.

Step-by-step explanation:

The meaning that loan discount points have is the fact that they are fees that are used to buy down rates.

The effect that the loan discount point has on home loan is the fact that it helps to lower loans by about 0.25 percent.

The points helps you on your home loan by giving you a lower interest rate which then means that you have to pay lower over time.

Read more on discount points here:https://brainly.com/question/2764956

Answer:

26 is the answer. am I right?

Answer:

$1.67

Step-by-step explanation:

Add your costs:

1.29 + 0.38

Solve for your total:

1.29 + 0.38 = 1.67

Answer:

9.4

Step-by-step explanation:

To find the mean, add the values up and then divide them by the number of values there are:

3 + 11 + 6 + 13 + 14 = 47

47/5 = 9.4

The mean is 9.4

Hope this helps :)

Answer:

the answer is 15. brainliest if correct..

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

Answer:

The answer is CH8

Step-by-step explanation:

The difference of maximum possible weight and minimum possible weight will be 0.72 ounces

What is Percentage Error?

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage error is the difference between the measured value and the true value , as a percentage of the true value

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Given data ,

Weight of box of cookies = 24 ounces

Acceptable percentage error = 1.5 %

Maximum possible weight =
Weight of box of cookies + Acceptable percentage error  

Minimum possible weight =
Weight of box of cookies - Acceptable percentage error  

Maximum possible weight = 24 + ( 1.5/100 ) x 24

                                             = 24 + 0.36

                                             = 24.36 ounces

Minimum possible weight = 24 - ( 1.5/100 ) x 24

                                            = 24 - 0.36

                                            = 23.64 ounces

Therefore , difference of Maximum possible weight and Minimum possible weight will be

= 24.36 - 23.64

= 0.72 ounces

Hence , the difference of maximum possible weight and minimum possible weight will be 0.72 ounces

To learn more about percentage error click :

https://brainly.com/question/28746643

#SPJ2

Let M = midpoint

M = (-5+3/2, -1+3/2)

M = (-2/2, 2/2)

M = (-1, 1)

Answer: 8/9 or .8

Advice for the future, use math w a y next time for stuff like this.

Answer:

ummmmmmmmmm what kind of math are u doing

Step-by-step explanation:

Answer:

4x-y=3

Step-by-step explanation:

IT'S standard form

Answer:

4800

Step-by-step explanation:

In 10 seconds his wings will flap 800 times!

So in 60 seconds his wings will go 6 times more frequently.

10 /800 = 60/x

10 x = 800 * 60

10 x = 48000

x = 48000/10

x = 4800

Answer:

The total no. of purple marbles will be:

[tex] \boxed{ \underline{ \rm{28}}}[/tex]

Step-by-step explanation:

It is given that for every 5 blue marbles, we have 4 purple marbles. And similarly we have to find for the no. of purple marbles for 35 blue marbles.

First, Let's divide these 35 blue marbles in groups of 5. We will get:

➝ 35 ÷ 5 = 7 groups

For each group of 5 marbles, there are 4 purple marbles. So for 7 groups, No. of purple marbles will be:

➝ 4 × 7 = 28 purple marbles.

And we are done! :D

Answer:

The volume of soap that Ryan measured is 354.9 mL. Therefore, option C is the correct answer.

Given that, for the volume of soap in a bottle, Ryan determined the margin of error as 354.85 mL to 354.95 mL.

We need to find the volume of soap that he measured.

A margin of error tells you how many percentages points your results will differ from the real population value.

Now, the margin of error is 354.85 - 354.95

The volume=354.9 mL (Mid value of 354.85 - 354.95 )

The volume of soap that Ryan measured is 354.9 mL. Therefore, option C is the correct answer.

To learn more about the margin of error visit:

https://brainly.com/question/10501147.

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Answer:

working with circles (using pi for circumference, area, etc)

Answer:

15.5%

Step-by-step explanation:

No of students that had enrolled last year = 225

This year, 260 students are enrolled.

We need to find the percent of change in the number of students. It can be calculated as :

P = (change in no of students/initial no of students)×100

[tex]\%=\dfrac{260-225}{225}\times 100\\\\=15.5\%[/tex]

So, the percent change is 15.5%.

Answer:

The probability that she chooses 3 spades and 2 cards that are not spades is

0.08154

Step-by-step explanation:

52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts

spades = 13

Non spades = 39

Selecting 3 spades = 13C3 (Using combination)

selecting 2 spades = 39C2

in total 5 cards are drawn = 52C5

Probability of drawing 5 cards (3spades+2 non spades)

                               =[tex]\frac{ 13C3*39C2}{52C5}[/tex] = 0.08154

Yes she will be left with 0 grapes

Step-by-step explanation:

14-8=6 6-6=0

Answer:

richard is 22 and teo is 9

Step-by-step explanation:

Answer:

1st one is "square root of 2x"

2nd one is "2 square root of x"

3rd one is "is not"

Step-by-step explanation:

1st one: you have 2x for g(x) then you plug that into the x for f(x) giving you square root of 2x

2nd one: you have  square root of x for f(x) then you plug that into the x for g(x) giving you 2 square root of x

3rd one: the inverse of the square root of x is x^2

The function [tex]\rm f(g(x)) = \sqrt{2x}[/tex] and the function [tex]\rm g(f(x)) =2\sqrt{x}[/tex] and the function f(x) is not the inverse of g(x) and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the f(g(x)) and g(f(x)):

Step 1 - First write the given functions.

[tex]\rm f(x) = \sqrt{x}[/tex]

[tex]\rm g(x) = 2x[/tex]

Step 2 - Now, the function f(g(x)) is given by replacing x with g(x) in the function f(x).

[tex]\rm f(g(x)) = \sqrt{g(x)}[/tex]

Step 3 - Substitute the value of g(x) in the above expression.

[tex]\rm f(g(x)) = \sqrt{2x}[/tex]

Step 4 - Now, the function g(f(x)) is given by replacing x with f(x) in the function g(x).

[tex]\rm g(f(x)) =2f(x)[/tex]

Step 5 - Substitute the value of f(x) in the above expression.

[tex]\rm g(f(x)) =2\sqrt{x}[/tex]

Step 6 - The inverse of f(x) can be determined by replacing x by f(x) and f(x) by x.

[tex]\rm \sqrt{f(x)} = x[/tex]

[tex]\rm x^2 = f(x)[/tex]

Step 7 - Now, the inverse of g(x) is given by:

[tex]\rm 2g(x) = x[/tex]

[tex]\rm g(x) = \dfrac{x}{2}[/tex]

The function [tex]\rm f(g(x)) = \sqrt{2x}[/tex] and the function [tex]\rm g(f(x)) =2\sqrt{x}[/tex] and the function f(x) is not the inverse of g(x).

For more information, refer to the link given below:

https://brainly.com/question/12431044

Answer:

12:25

Step-by-step explanation:

Answer:

12:25 p.m

Step-by-step explanation:

1:30 - 1 hour = 12:30

12:30 - 5 minutes = 12:25

I hope this helped, please mark Brainliest, thank you!! :)

Answer:

sin ∠FDE is 12/13

Step-by-step explanation:

The trigonometric ratios will be used to find the value of sin∠FDE

In the given triangle, according to angle FDE

Base = DE = 5

Hypotenuse = DF = 13

Perpendicular = EF = ?

sin ∠FDE = [tex]\frac{perpendicular}{Hypotenuse} = \frac{EF}{DF}[/tex]

We have to find the length of DF first

Pythagoras theorem will be used as the given triangle is a right angled triangle

[tex](Hypotenuse)^2 = (Base)^2+(perpendicular)^2\\(DF)^2 = (DE)^2+(EF)^2\\(13)^2 = (5)^2 + EF^2\\169 = 25+EF^2\\EF^2 = 169-25\\EF^2 = 144\\\sqrt{EF^2} = \sqrt{144}\\EF = 12[/tex]

So,

sin ∠FDE = EF/DF

sin ∠FDE = 12/13

Hence,

sin ∠FDE is 12/13

The question is missing parts. Here is the complete question.

The isosceles triangle below has height AQ of length 3 and base BC of length 2. A point P may be placed anywhere along the line segment AQ.

What is the minimum value of the sum of the lengths of AP, BP and CP?

Answer: The sum is 4.73.

Step-by-step explanation: Height of a triangle is a perpendicualr line linking a vertex and its opposite side.

Because triangle ABC is isosceles, point Q divides the base in 2 equal parts:

BQ = CQ = 1

Suppose QP = x

To calculate minimum value of the sum:

AP = AQ - QP

AP = 3 - x

Since triangles BQP and CQP are congruent and right triangles, use Pythagorean Theorem to figure out the value of BP and CP:

BP = CP = [tex]\sqrt{BQ^{2}+PQ^{2}}[/tex]

BP = [tex]\sqrt{1+x^{2}}[/tex]

Then, sum of AP, BP and CP is

[tex]f(x)=3-x+2\sqrt{1+x^{2}}[/tex]

The minimum value is calculated using first derivative:

[tex]f'=-1+\frac{2x}{\sqrt{x^{2}+1} }[/tex]

The value of x is limited: it can assume value of 0, when P=A and x=3, when P=Q. So, interval is [0,3].

x has value:

[tex]-1+\frac{2x}{\sqrt{x^{2}+1} }=0[/tex]

[tex]2x=\sqrt{x^{2}+1}[/tex]

[tex]4x^{2}-x^{2}-1=0[/tex]

[tex]3x^{2}=1[/tex]

x = ± [tex]\frac{1}{\sqrt{3} }[/tex]

x can't assume negative value because is not in the interval:

x = [tex]\frac{1}{\sqrt{3} }[/tex]

To find the minimum value of the sum, substitute x in the function above:

f([tex]\frac{1}{\sqrt{3} }[/tex])=[tex]3-\frac{1}{\sqrt{3} } +2\sqrt{1+(\frac{1}{\sqrt{3} })^{2} }[/tex]

[tex]f(\frac{1}{\sqrt{3}} )=3-\frac{1}{\sqrt{3}}+2(\sqrt{\frac{4}{3} } )[/tex]

[tex]f(\frac{1}{\sqrt{3}} )=3-\frac{1}{\sqrt{3}} +\frac{4}{\sqrt{3}}[/tex]

[tex]f(\frac{1}{\sqrt{3}} )=3+\frac{3}{\sqrt{3} }[/tex]

[tex]f(\frac{1}{\sqrt{3}} )=4.73[/tex]

The minimum value of the sum of AP, BP and CP is 4.73.

The minimum value of the sum of the lengths of AP, BP and CP is [tex]3 + \frac{\sqrt{3}}{3}[/tex] units.

According to this statement we must determine the sum of the line segment lengths so that a minimum is found. By Pythagorean theorem and given data we have the following expression:

[tex]y = AP + BP + CP[/tex]

[tex]y = 3-x +2\sqrt{x^{2}+1}[/tex] (1)

Now we proceed to find the critical values by performing first and second derivative tests.

FDT

[tex]-1 +\frac{2\cdot x}{\sqrt{x^{2}+1}} = 0[/tex]

[tex]2\cdot x = \sqrt{x^{2}+1}[/tex]

[tex]4\cdot x^{2}-x^{2}-1=0[/tex]

[tex]3\cdot x^{2} = 1[/tex]

[tex]x^{2} = \frac{1}{3}[/tex]

[tex]x = \frac{\sqrt{3}}{3}[/tex]

SDT

[tex]y'' = \frac{2\cdot \sqrt{x^{2}+1}-2\cdot x \cdot \left(\frac{2\cdot x}{\sqrt{x^{2}+1}} \right)}{x^{2}+1}[/tex]

[tex]y'' = \frac{2\cdot x^{2}+2-4\cdot x^{2}}{(x^{2}+1)^{3/2}}[/tex]

[tex]y'' = 2\cdot \frac{1-x^{2}}{(x^{2}+1)^{3/2}}[/tex]

[tex]y'' \approx 0.866[/tex]

A minimum exists when [tex]y'' > 0[/tex], then we conclude that [tex]x = \frac{\sqrt{3}}{3}[/tex] lead to a relative minimum. And by (1) we have the minimum sum:

[tex]y = 3-\frac{\sqrt{3}}{3}+2\sqrt{\frac{4}{3} }[/tex]

[tex]y = 3 - \frac{\sqrt{3}}{3} +\frac{4\sqrt{3}}{3}[/tex]

[tex]y = 3+\frac{\sqrt{3}}{3}[/tex]

The minimum value of the sum of the lengths of AP, BP and CP is [tex]3 + \frac{\sqrt{3}}{3}[/tex] units.

Nota - The statement reports typographical issues, the correct form is presented below:

The isosceles triangle below has height AQ of length 3 and base BC of length 2. A point P may be placed anywhere along the line segment AQ. What is the minimum value of the sum of the lengths of AP, BP and CP.

We kindly invite to check this question on maxima and minima: https://brainly.com/question/12870574

Answer:

29 minutes?

i divided 3.19 by 11 (20 - 16.81 is 3.19) and i got 29 so i think it is that amount of minutes