if x -6 is one factor of x^2 - 10x +24, which is the other factor?

Answers

Answer 1
To get the other factor of the expression x² - 10x + 24, we can use long or synthetic division. We are given that the other factor is x - 6, so we can use that as our divisor. Our setup should look something like this:
x² - 10x + 24 ÷ x - 6
Here is the work using polynomial long division:
          x     -4             
x - 6 | x² - 10x + 24
          x² - 6x
          0  - 4x + 24
               -4x - 24
                          0
We can see that our quotient is x - 4, which would be the other factor of x - 6 to get x² - 10x + 24. The answer to your query is x - 4. Hope this helps and have a phenomenal day!


Related Questions

What is the solution set of the equation
X^2+3x-4=6

Answers

Two solutions were found : x = 5; x = -2. Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Rearrange: Rearrange the equation bAnswer:

Step-by-step explanation:Two solutions were found : x = 5; x = -2. Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Rearrange: Rearrange the equation b

Which of the following is a function equivalent to f(x) = 4(1.8)2x?

f(x) = 4(3.24)x
f(x) = 4(3.24x)
f(x) = 12.96x
f(x) = 51.84x

Answers

The answer is C hope this helps!

Answer:

A: f(x) = 4(3.24)x

(you forgot to put the "^" symbol before the X to show it is rising to "2x",, AKA an exponent, but that's ok <3

Step-by-step explanation:

Please do not listen to the other answer! It is wrong and i will show you why.

First we need to take a look at the exponent and the number in parentheses. If anyone remembers, we need to use the distributive property to distribute the '2' in the exponent '2x' to the number(s) inside the parentheses.

So you would go: 1.8 x 2 = 3.24

You would then put the 3.24 in the place of the 1.8 to give you:

f(x) = 4(3.24)^x

Now, you may ask, 'biscuit, why do we keep the exponent 'x'? shouldn't we put it inside the parentheses?',, and to that i say no! We only used the 2 from the exponent, so the x stays in it's place.

You also might ask 'biscuit, why don't we go a step further and multiply the 4 by the 3.24?',, and to that I also say no! Remember, the question asked us to find a function equivalent to our original equation, not solve the whole equation <3

If you have any questions please don't hesitate to ask!

-Biscuit08

if today is wednsday what day will it be in 100 days and why

Answers

the day would be friday because there are 7 days in a week and in fourteen weeks on wednesday would be 98 days so add two more days which would be friday which is also 100 days
Bonswa. How are you today?

We know that every week (every seven days) it will be Wednesday if today is Wednesday. So, how may weeks are in 100 days? 14. Why? Because 14(7) = 98. So, in order to get to 100 we must add 2. So what is Wednesday plus two more days? Friday. So if today is Wednesday it will be Friday in 100 days. Why? Well, that's how our calendar is set up. 

Find the interest rate for the given deposit and compound amount. $4600 accumulating to $5994.78, compounded monthly for 4 years.

Answers

Here we use the classic formula for Compound Amount:

A = P (1 + r/n)^nt

where P is the intial amount (i. e., the principal), r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

Then    $5994.78 = $4600 (1 + r/12)^(4*12)

or ...     $5994.78 = $4600 (1 + r/12)^48

We must solve for r.

Divide both sides of this equation by $4600:

1.303 = (1 + r/12)^48

Take the 48th root of both sides of this equation:

1.0056 = 1 + r/12
                                                                  
0.0056 = r/12                 Solve for r:    r = 12(0.0056) =  0.0672

The annual interest rate was 6.72%.

The rate of interest monthly is 0.55%.

Given that,

The deposit amount is $4,600.The future value is $5,994.78The number of months = 4(12) = 48.The payment i.e. PMT = $0

Based on the above information, the calculation is as follows:

The formula is

= RATE(NPER,PMT,-PV,FV,TYPE)

After applying the above formula, the rate of interest monthly is 0.55%.

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Verify the identity Cotx/tanx+cotx = 1-sin^2x

Answers

[tex]\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\\\ tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)} \qquad \qquad cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}\\\\ -------------------------------\\\\ \cfrac{cot(x)}{tan(x)+cot(x)}=1-sin^2(x) \\\\\\ \textit{doing the left-side}\implies \cfrac{\frac{cos(x)}{sin(x)}}{\frac{sin(x)}{cos(x)}+\frac{cos(x)}{sin(x)}}\implies \cfrac{\frac{cos(x)}{sin(x)}}{\frac{sin^2(x)+cos^2(x)}{cos(x)sin(x)}}[/tex]

[tex]\bf \cfrac{\frac{cos(x)}{sin(x)}}{\frac{1}{cos(x)sin(x)}}\implies \cfrac{cos(x)}{\underline{sin(x)}}\cdot \cfrac{cos(x)\underline{sin(x)}}{1}\implies cos^2(x)\implies 1-sin^2(x)[/tex]

Mia's cat weighs 13 pounds, 7 ounces
About how many kilograms is this

Answers

Mias cat weighs about 6 kg
Her cat is About 6 kg :)

Find the point on the plane nearest to g 2x+5y+z=10 that is nearest (2,0,1)

Answers

A bc it makes the most sence

Jon is looking into 4250 vaction packages that offerend for 25% off.there is 9% resort fee added on the total.how much will the vaction cost Jon?

Answers

To get discount price multiply 4250 by (1-discount percent)

$4250x(1-.25)= $425-x(.75) =$3,187.50

To get price after fee is included 
multiply the 3,187.50 by (1+fee percentage)

$3,187.50x(1+.09)
3,187.50x(1.09)
=$3,474.375
=$3,474.36

What is 32.51 in word form
Please help thx

Answers

Thirty two and fifty-one hundreths

Find the maximum and minimum values of the function.
y=7cosx

Answers

The Maximum and Minimum can not be determined on this problem because it isn't a quadratic function. Graphed, the highest point is 7 and lowest is -7 in a repeated mountain shape. Hope this helps. 
The range of cos x is -1 to + 1

So maximum of 7 cos x = 7 and minimum is -7.

The price of one share of a stock fell $12.50 each day for 8 days. Which expression represents this situation?

Answers

12.50 x 8 = 100 This is the answer
" $12.50 x 8 " is an expression to use.

On the blueprint of a house, 48 millimeters represents 7 meters. the length of the living room is 60 millimeters on the blueprint, what is the actual length of the living room?

Answers

[tex]\bf \begin{array}{ccll} \stackrel{blueprint}{mms}&\stackrel{actual}{meters}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 48&7\\ 60&x \end{array}\implies \cfrac{48}{60}=\cfrac{7}{x}\implies x=\cfrac{60\cdot 7}{48}[/tex]

A problem states
there are 5 more girls than boys and girls there are 27 students in the class in all How many boys are in the class
What are the unknowns in this problem

A Number of students in the class
B The number of boys in the class
C The number of girls in class
D The number of boys and the number of girls in class

Answers

the problem only stats there are 27 students and that there are 5 more girls than boys

 it does not say how many boys or how many girls there are so D should be the answer

a line intersects the points (-14,-10) and (7,5). find the slope of the line and simplify

Answers

The slope of any line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

The given points are (-14,-10) and (7,5), therefore:
y2 = 5
y1 = -10
x2 = 7
x1 = -14

Substitute with these values to get the value of the slope as follows:
slope = (5--10) / (7--14) = 5/7

Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 450 cubic centimeters of liquid. the length of the box must be 2 times as large as the width. define a function j j that gives the height of the metal box, h h, measured in centimeters in terms of the width of the metal box, w w, measured in centimeters.

Answers

So, the volume of a container can also be thought of as the amount of liquid that the container is capable of holding. It follows that 450=(length)(width)(height). The constraints of the problem say that the length of the box must be twice as large as the width, so it follows that j(height)=(2w)(w)(height)-450. This then implies that j(height)=(2w^2)(height)-450. In simpler terms, the height is defined as 450/(2w^2), or j(w)=450/(2w^2).

Point P is reflected across two lines. Point A is its reflection image. Which two lines is point P reflected across?

x = 3 and y = 2

x = -2 and y = 2

x = 3 and y = -3

x = -2 and y = -3


Answers

the correct answer would be x=3 and y=2

Answer: The two lines are x = -2 and y = 2.

Step-by-step explanation:  Given that the point P on the co-ordinate plane is reflected across two lines and A is its image after the reflection.

We are to find the two lines across which the point P is reflected.

The co-ordinates of point P are (0, 0) and the co-ordinates of its image A after reflection from two lines are (-4, 4).

From the given figure, we can note that

the first line of reflection is y = 2. Point C(0, 4) is the image after reflection from first line.

The second line of reflection is x = -2. Point A(-4,4) is the final image after second reflection.

Thus, the two lines are x = -2 and y = 2.

what is the value of x in 7(3x - 13)=224 ?

Will mark brainliest!

Answers

7(3x-13)=224

21x-91 = 224

21x = 315

x = 315 / 21

x = 15

what square root lies between 17 and 18

Answers

easy
if x is the number
sqrt x is between 17 and 18

17<√x<18
squaer the whole thing
289x could be 300
it could be sqrt of 300
√300=10√3

one is 10√3

If each weighs 2/3 pound, how many potatoes are there in a 50-pound case?

Answers

The number of potatoes that are there in a 50-pound case are 75 potatoes.

In Mathematics and Euclidean Geometry, an expression simply refers to a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Since each potato weighs 2/3 pound, the number of potatoes that are there in a 50-pound case can be modeled by the following expression;

Number of potatoes = 50 ÷ 2/3

Number of potatoes = 50 × 3/2

Number of potatoes = 150/2

Number of potatoes = 75 potatoes.

Given four int values x1, x2, y1, y2 write the code to compute the distance between the two point

Answers

In which language?
Please tell me the language java, c++, cetc?

The fourth grade collected 40,583 cans and plastic bottles. Write the number in word form?

Answers

fourty-thousand,five-hundred eighty-three

Answer is 'Forty thousand, five hundred eighty-three'.

When we write numbers in word form, we express each digit's value in words. In the number 40,583, we have:

"Forty" represents the digit 4 in the ten thousands place.

"Five hundred" represents the digit 5 in the hundreds place.

"Eighty" represents the digit 8 in the tens place.

"Three" represents the digit 3 in the ones place.

A reasonable APR to pay for a 3-year automobile loan is

Answers


if you got a five % apr for 60 monthes you 

For a laboratory assignment, if the equipment is working, the density function of the observed outcome x is f(x) = 2(1 − x), 0

Answers

The Variance is  [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex].

What is Variance?

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.

Given:

E(x) = [tex]\int\limits^1_0 {x(2(1-x))} \, dx[/tex]

=  [tex]\int\limits^1_0 {(2x - 2x^2)} \, dx[/tex]

For the variance, if μ is the mean, then

Var(x) = E( x- μ)²

= [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex]

Learn more about variance here:

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what is 0.688 as a percent

Answers

68.8% is your answer

when changing a decimal to a percentage, move the decimal point twice over

hope this helps
It's 68.8%. You move the decment right two. 

What is the number 0.093 expressed in Scientific notation?
A. 9.3 * 10^2
B. 0.93 * 10^1
C. 9.3 * 10^-3
D. 9.3 * 10^-2

Answers

0.093 expressed in Scientific 
=
9.3 x 10^-2

answer
D. 9.3 * 10^-2

Option D is correct. 0.093 can be expressed in scientific notation as [tex]9.3 \times 10^{-2}[/tex].

To express the number 0.093 in scientific notation, we need to determine the coefficient and exponent.

0.093 can be written as 9.3 multiplied by a power of 10.

Since 0.093 is less than 1, the exponent should be negative.

To shift the decimal point to the right to form the original number, we move it three places to the right:

[tex]0.093 \rightarrow 9.3 \times 10^{-2}[/tex]

Therefore, 0.093 can be expressed in scientific notation as [tex]9.3 \times 10^{-2}[/tex], option D is correct.

To learn more on Number system click:

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Benito is selling T-shirts for $8 each for his school fund-raiser. So far, he has sold 16 T-shirts. How many more does he need to sell to reach his goal of $200 in sales?

Three of these equations solve for the number of T-shirts, t, he still needs to sell to reach $200 in sales. Which equation does NOT?

A. t = 9
B. 8(t + 16) = 200
C. 8t + 128 = 200
D. 8t + 16 = 200

Answers

D. When you do the math, the results to everything should be t=9. D is the only outlier. Therefore, D is the answer in this case. 

Simplify 3 + c (8n + 4) + 9n

A. 49n + 20
B. 3+33n
C. 25n + 11
D. 19n + 7

Answers

c is the answer to your question

Well first you need to distribute the (c) to the 8n+4. So then you you would get 8nc+4c+9n+3. Not unless that (c) is suppose to be a number.

If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone R in terms of the radius of cylinder r is ________?

Answers

Volume of a cylinder with radius r and height H, Vc = π (r^2)*H

Volume of a conce with radius R and height H, Vcone = (1/3) π (R^2) * H

Vcone = Vc => (1/3)π (R^2)*H = π(r^2)*H

=> R^2 = 3 * (r^2)

=> R = r√3

Answer: R = r √3

2x^5+12x^4+16x^3-12x^2-18x=0

Answers

[tex]2x^5+12x^4+16x^3-12x^2-18x=0 [/tex]

Marcus mixes 5 parts white paint with 2 parts red paint to make pink. Suppose he adds one part of each. What is the new ratio of red to white?

Answers

Final answer:

In genetics, crossbreeding a white-eyed male fruit fly with a heterozygous red-eyed female typically results in a 1:1 ratio of red-eyed to white-eyed offspring if eye color is an X-linked trait and red is dominant over white.

Explanation:

The question pertains to genetics, specifically the inheritance patterns of eye color in fruit flies (Drosophila melanogaster), which is a classic example in the field of genetics. When crossing a white-eyed male (mutant allele) with a female that is heterozygous for red eye color (one red allele and one white allele), the offspring will have a 1:1 ratio of red-eyed to white-eyed if eye color is an X-linked trait. This is because the male passes on his Y chromosome without the eye color allele to half the offspring, and his X chromosome with the white eye color allele to the other half. The female passes on one of her X chromosomes to all the offspring—half of these will carry the red allele and the other half will carry the white allele.

If the trait follows simple Mendelian inheritance, assuming red eye color is dominant over white, the offspring ratio will be 50% red-eyed (having one red allele from the mother and one white allele from the father), and 50% white-eyed (having one white allele from the mother and one from the father).

it's 3 to 6 your welcome have a nice day :>

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