What does factoring a polynomial involve?

Answers

Answer 1

Answer:

ANSWER BELOW↓

Step-by-step explanation:

Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication. We have seen several examples of factoring already. However, for this article, you should be especially familiar with taking common factors using the distributive property.


Related Questions

8b - 5a + 4 for a = -4 and b = 7

If anyone gets this tysm

Answers

Answer:

80

Step-by-step explanation:

Given Question,

8b - 5a + 4

Given Values:

a = -4 and b = 7

Solution,

8(7) - 5(-4) + 4

= 56 + 20 + 4

= 80 (Ans)

Answer:

80

Step-by-step explanation:

8b - 5a + 4

a = - 4

b = 7

8(7) - 5(- 4) + 4

56 - (- 20) + 4

56 + 20 + 4

60 + 20

80

which undefined term can contain parallel lines?

Answers

Point I think is the anwser

If any of the graphs below have a Hamiltonian circuit, list the vertices of the complete circuit. There may be many possibilities. For full credit, just list one for each graph, if the circuit exists

Answers

9514 1404 393

Answer:

ABHGEFDCAdoes not existECBADFE

Step-by-step explanation:

A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.

__

For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.

__

For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.

A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces. When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans. Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.

Answers

Answer:

[tex]y = -\frac{1}{3}m + 41[/tex]

Step-by-step explanation:

Linear equation:

A linear function has the following format:

[tex]y = mn + b[/tex]

In which m is the slope and b is the y-intercept.

When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.

This means that these two points belong to the line: (30,31), (36,29).

Finding the slope:

When we have two points, the slope is given by the change in the output divided by the change in the input.

Change in the output: 29 - 31 = -2

Change in the input: 36 - 30 = 6

Slope:

[tex]m = \frac{-2}{6} = -\frac{1}{3}[/tex]

Thus

[tex]y = -\frac{1}{3}m + b[/tex]

Finding b:

We take one of the points and replace on the equation.

(30,31) means that [tex]m = 30, y = 31[/tex]. Thus

[tex]y = -\frac{1}{3}m + b[/tex]

[tex]31 = -\frac{1}{3}(30) + b[/tex]

[tex]31 = -10 + b[/tex]

[tex]b = 41[/tex]

Thus

[tex]y = -\frac{1}{3}m + 41[/tex]

A population analysist is using the formula Pn = 25.8(1.0219)h to predict the population for Ghana, a country in Africa. What does the number in in parenthesis tell us?​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the formula :

Pn = 25.8(1.0219)^h to predict the population of Ghana ;

The equation given is in the form of an exponential function:

The general form of an exponential distribution :

y = ab^x

a = Initial value ; b = constant multiplier or growth or Decay factor

Comparing :

The number in parenthesis = 1.0219 = b

b = Decay or growth factor :

Since b > 1 ; then We have a growth factor;

b = 1 + rate

1.0219 = 1 + rate

Rate = 1.0219 - 1

Rate = 0.0219

Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%

I need help pls and thank you

Answers

Answer:

unbounded region

A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.

Step-by-step explanation:

A business student is interested in estimating the 90% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within seven percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available

Answers

Answer:

n = 106

Step-by-step explanation:

Given  

p = 0.5 and 1-p = q = 0.5

Margin of error = 0.08  

Confidence level = 90%  

Z score for 90% confidence level =     1.65

As we know -  

Margin of error = z * Sqrt (pq/n)

Substituting the given value, we get –  

0.08 = 1.65 * Sqrt (0.5*0.5/n)

Squaring both the sides and solving, we get  

n = 1.65^2*0.5^2/0.08^2

n = 106.34 = 106

The interior angle of a polygon is 100 . The other interior angle are all equal to 110. how many sides has the polygon?​

Answers

There is a formula for the total interior angles of a polygon:

180(sides−2)=total interior angles

One of the angles is 100 and all the others are 110.

We can rewrite the equation.

Assume there is x number of sides.

There are x−1 number of angles, 110 degrees

180(x−2)=100+110(x−1)

180x−360=100+110x−110

70x−360=100−110

70x−360=−10

70x=3507x=35

x=5

There are 5 sides to the polygon.

We can check our answer:

180(sides−2)=total interior angles

Therefore it is true:

The polygon has 5 sides

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Khalfan height in inches is 30 inches. What is his height in feet.​

Answers

Answer:

2.5 ft

Step-by-step explanation:

there are 12 inches in a foot, so divide the number of inches by 12

30 ÷ 12 = 2.5

2.5 feet (ft)

hope this helped!

Answer:

If Khalfan is 30 inches, he is 2.5 feet

Step-by-step explanation:

1 foot is 12 inches, so to get closest to 30, you double 12 to 24, and then you add another 6 inches, which is half of 1 foot, and there you go! You're welcome!

A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin's work and find his error. ($30.65)(0.60) = $18.39

*Please give an explanation longer than 1 sentence :,)

Answers

Answer:

Kelvin’s error is that when he got the final result, that was the amount that was marked down. He still needed to find the price after the original price was marked down by that number wich in this case is $18.39. So using one of his steps, 30.65(0.6)=18.39. We can subtract 30.65 (original price) and 18.39 (mark down price). You’d get 11.26 dollars as the final price.

2,6,10,14 cuales son los siguientes tres términos

Answers

Answer:

Step-by-step explanation:

2, 6, 10, 14

Entonces, como puede ver, el patrón en la secuencia se suma por 4 como (+4)

(So, as you see that the pattern in the sequence is added by 4 )

2

2+4=6

6+4=10

10+4=14

Entonces, los próximos tres términos serán (Then, the next three terms will be)

14+4=18

18+4=22

22+4=26

If a distribution for a quantitative variable is thought to be nearly symmetric with very little variation,and a box and whisker plot is created for this distribution,which of the following is true?
A) The box will be quite wide but the whisker will be very short.
B) The left and right-hand edges of the box will be approximately equal distance from the median.
C) The whiskers should be about half as long as the box is wide.
D) The upper whisker will be much longer than the lower whisker.

Answers

Answer:

B). The left and right-hand edges of the box will be approximately equal distances from the median.

Step-by-step explanation:

The 'symmetry' si described as a 'satisfying arrangement of a balanced distribution of the elements of the whole' while a 'symmetry group' is characterized as a group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.

As per the given conditions, the second statement asserts a true claim regarding the keeping of edges of left, as well as, right-hand side's boxes at equal intervals from the median. This will help in making the arrangement fulfilling while keeping a little scope for the variation. Thus, option B is the correct answer.

How many 1/3 servings are in 36 servings?

Answers

Answer:

108

Step-by-step explanation: When you want to find out how much a fraction fits into a number, you have to multiply it by how much it takes to make 1 whole number using the fraction. 1/3 requires 3 of them to make 1 whole number. This means that 36 can be multiplied by 3, which gives us the answer of 108

Answer:

108 of 1/3 servings are in 36 servings.

Step-by-step explanation:

3/1 multiples 3 become 1.

1 multiple 36 and equal 36,

so,3 multiple 36.

3×36=108

II ZPQR measures 75', what is the measure of SQR?
22
0 45°
0 539
097

Answers

Answer:

53degrees

Step-by-step explanation:

Find the diagram attached

<PQR = 75degrees

From the diagram'

<SQR + <PQS = <PQR

<SQR + 22 = 75

<SQR = 75-22

<SQR= 53degrees

Hence the measure of <SQR is 53degrees

tv originally cost $400 if the price of the TV increase by 15% what is the new price ​

Answers

Answer:

$460

Step-by-step explanation:

Thus, a product that normally costs $400 with a 15 percent discount will cost you $340.00, and you saved $60.00. You can also calculate how much you save by simply moving the period in 15.00 percent two spaces to the left, and then multiply the result by $400 as follows: $400 x .15 = $60.00 savings.

The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.99. How many hours of daylight, to the nearest tenth, does this model predict for February 21, 2013?

Answers

Answer:

9.3 hours

Step-by-step explanation:

Given

[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]

Required

Hours of sunlight on Feb 21, 2013

First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013

[tex]days = 52[/tex]

So:

[tex]x = 52[/tex]

So, we have:

[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]

[tex]y = 2.89\sin(0.0145*52-1.40) + 10.99.[/tex]

[tex]y = 2.89\sin(0.754-1.40) + 10.99.[/tex]

[tex]y = 2.89\sin(-0.646) + 10.99.[/tex]

[tex]y = 2.89*-0.6020 + 10.99.[/tex]

[tex]y = -1.740 + 10.99.[/tex]

[tex]y = 9.25[/tex]

[tex]y = 9.3[/tex] --- approximated

If bob gives away 7 blocks, he will have 12 left. How many blocks did he have originally

Answers

Answer:

h

Step-by-step explanation:

19 blocks

Answer:

original blocks  =19

Step-by-step explanation:

original blocks -7 =12

Add 7 to each side

original blocks -7+7 =12+7

original blocks  =19

PLEASE HELP !!! WILL MARK WHOEVER GETS IT RIGHT AS BRAINLIEST !!

Answers

Answer:

Last one (x + 4, y - 1).

Step-by-step explanation:

From the point, you go right 4 (going right on a graph is positive).

From there, you go down 1 (going down on a graph is negative).

Use first principal to determine the equation of tangent to f(x)= 3x^2-6 Answer please

Answers

Answer:

final answer:

y-1= 3x_6

To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.

.

.

Get brainly if right?
10 points!

Answers

Answer:

Tn = -13n +37

ordered list is 24, 11 , -2 , -15, -28 ,-41

(2x+8)-(x-8) PLS HELP

Answers

16 : 2 = 8 so it’s technically 8
X+16


Explanation:


(2x+8)-(x-8)

You would first distribute the - into the (x-8)
-1*x= -x -8*-1= 8

(2x+8)+(-x+8)

Now you combine like terms

2x-x=x 8+8=16

16+x or x+16

Find the perimeter of each figure select the figure that have a perimeter of 20 units

Answers

it would have been helpful if you put the picture
23 perimeter units is the answer

A)Chris and Alex Were Building a sand Castle. They Decided to make it into a cone shape. After some time, the diameter of the the sand shaped cone was 12in and the height was 7in. What is the exact volume of the sand cone?

B) the kids kept adding sand, ten minutes later the volume of the sand cone had increased by 30%. what is the exact volume of the sand cone now?

Answers

Answer:

A.) 84π | B.) 546π/5

Step-by-step explanation:

A.)

V(Cone) = πr²(h/3) where r = radius and h = height.

r = d/2 where d = diameter.

r = 12/2 = 6

V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π

B.)

84π · 0.3 = 126π/5

84π + 126π/5 = 546π/5  

How is the graph below misleading?


different widths of the bars

too large of increments used

y-axis doesn't begin at zero

broken y-axis

Answers

Answer:

A is the right answer

Step-by-step explanation:

the y axis can start at 0 and the y axis isn't broken. and the increments aren't to large so most reasonable will be A

Answer:

different widths of the bars

Step-by-step explanation:

the y-axis does begin at 0, the increments are reasonable, and the y-axis is not broken

the widths of the bars are visibly different, so that answer makes the most sense.

hi I need help on this

Answers

Answer:

144 cm³ or 144 cubic centimeters

Step-by-step explanation:

Volume = Area triangle * height

Area triangle = 1/2 ( 3 x 8) = 1/2( 24) = 12

12 x 12 = 144 cm³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

HII TYSM IF YOU ANSWER ILL GIVE BRAINLIEST did I get some of these right? if not lmk :) ​

Answers

Yes you did get them all right

PLEASE HELP!
A 95% confidence interval is found to be (28, 32). The sample standard deviation is 7, and the sample size is 49. If you wanted a smaller interval, what could you do? A. Decrease the sample size to 36. B. Increase the standard deviation to 10. C. Increase the confidence level to 99.7%. O D. Increase the sample size to 64. SUBMIT​

Answers

Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:

D. Increase the sample size to 64.

What is the margin of error of a confidence interval?

It is given by the following formula:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

z is the critical value(direct proportional with the confidence level).s is the standard deviation.n is the sample size.

For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.

More can be learned about margin of error at https://brainly.com/question/25779324

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Which ordered pairs are solutions to the equation x+6y=4?

Answers

Answer:

(10 , -1)

Step-by-step explanation:

(10)+6(-1)=4

10-6=4

The two given figures are similar. Which statements must be true? Select all that apply.

Answers

Answer:

angle B=74°

Step-by-step explanation:

the shapes are similar

HELP DUE SOON 20 POINTS

Answers

Answer:

x = 10

Step-by-step explanation:

m∠KNL = 90

10x - 10 = 90

10x = 100

x = 10

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