3. Simplify the expression (x3 - 5x2 + 7x - 12) = (x – 4) using long division. Show your work.
Answer:

3. Simplify The Expression (x3 - 5x2 + 7x - 12) = (x 4) Using Long Division. Show Your Work.Answer:

Answers

Answer 1

Answer:

x^2-x+3

Step-by-step explanation:

(x^3-5x^2+7x-12)÷(x-4)

x^3−5x^2+7x−12

Factors of 12,

1,2,3,4,6,12

Substitute 4 into x. Since the result is 0, x-4 is a factor..

4^3−5×4^2+7×4−12=0

x-4

           

        x^2      -x             3

x-4 |  x^3   -5x^2 7x    -12

        x^3   -4x

                -x^2   7x  -12

                -x^2   4x

                          3x  -12

                          3x  -12

                               

x^2−x+3

 

(x^2−x+3)(x−4)

        x−4

(x^2−x+3)

Answer = x^2-x+3

Hopes this helps


Related Questions

How many positive integers between 1000 and 9999 inclusive are divisible by 5 but not by 7?

Answers

nrnrjfhjcudiidjfbhcucuujbrbrbfdhhdhdhhfhhfhfhfufufiidjrj

A box of candy has 7 red pieces, 3 orange, 2 yellow, and 8 blue pieces. You get to
pick two pieces of candy. If you reach into the box without looking, what is the
probability that you will pick a blue piece, not replace it an then a red piece of
candy?

Answers

The probability is 2/8
28/95


There are 20 pieces of candy. First, you find the probability of drawing a blue piece which is 8/20 which is reduced to 4/5. Then you find the probability of drawing a red piece. Since you have removed a blue piece, there are now 19 pieces instead of 20. So, the probability of drawing a red piece is 7/19. Since the question is asking the probability of drawing a blue piece THEN a red piece you multiply the two fractions together since they are dependent upon each other. So, (4/5)(7/19)= 28/95.

Hope this helped. :)

In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46

What is the probability?
If you win what is your net profit?
Find the value?

Answers

Answer:

How old are you

Step-by-step explanation:

What is the slope of 3x+4y=−2?

Answers

Answer:

subtract the 3x from one side and put in the other

4y = -3x -2

then divide both sides by 4

y= -3/4x -1/2

so the slope is-3/4

HELLPP!! Find the value of x that makes line m parallel to line n:

Answers

Answer:

x = 6

Step-by-step explanation:

What’s the answer to this H(-3)=3/4(8x+2)-4.5

Answers

The answer is 3(2x-1)
Please mark brainelist

Marta made a fruit salad with 30 strawberries and 50 grapes. Assuming each strawberry contains 6 calories and each grape contains 3 calories, and that each of her 5 family members had an equal share of the fruit salad, how many calories did each person consume from the fruit?

66 calories
78 calories
144 calories
330 calories

Answers

Answer:

maybe it's d.

Step-by-step explanation:

because 30*6=180 and 50*3=150

so total of 330 as I observed


help meeeeeeeeeeeee





2/3u. 4/2u².3=

Answers

Answer:

4u³

Step-by-step explanation:

2/3u × 4/2u² = 4/3u³

4/3u³ × 3/1 = 4u³

Answer:

4u³

Step-by-step explanation:

[tex]2/3u*4/3u^2*3=[/tex][tex]2/3*4/2*3u^{1+2}=[/tex][tex]4u^3[/tex]

Also need help with this question 4 x −5 =

Answers

Answer:

the equation is not completed

Answer:

-20

Step-by-step explanation:

Multiply 4x5 which is 20 but since 5 is negative then it's -20

(p²qr + pq²r + pqr²)(-pq + qr - pr)
Please solve this problem as soon as possible.​

Answers

Answer:

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

Step-by-step explanation:

(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)

(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)

−p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf\longmapsto(p^2qr+pq^2r+pqr^2)(-pq+qr-pr)[/tex]

Opening the brackets,

[tex]\sf\longmapsto p^2qr(-pq+qr-pr) + pq^2r(-pq+qr-pr) + pqr^2(-pq+qr-pr)[/tex]

Opening the next brackets,

[tex]\sf\longmapsto p^2qr(-pq)+ p^2qr(qr)- p^2qr(pr) + pq^2r(-pq)+ pq^2r(qr)- pq^2r(pr) + pqr^2(-pq)+ pqr^2(qr)- pqr^2(pr)[/tex]

So,

[tex]\sf\longmapsto -p^3q^2r+ p^2q^2r^2- p^3qr^2 - p^2q^3r+ pq^3r^2- p^2q^2r^2-p^2q^2r^2+ pq^2r^3- p^2qr^3[/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3+ p^2q^2r^2-2p^2q^2r^2 [/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3- p^2q^2r^2 [/tex]

Hence, the product is,

[tex]\longmapsto\bf -p^3q^2r- p^3qr^2 - p^2q^3r- p^2qr^3+ pq^3r^2+ pq^2r^3 - p^2q^2r^2 [/tex]

Estimate a 15% tip on a dinner bill of $39.42 by first rounding the bill amount to the nearest ten dollars.

Answers

So we first round the bill to the nearest ten dollars which would be : $40.
Now we take $40 x 0.15 = $6.00
The answer is : $6 tip

solve the following system using substitution y=x^2+8x+12, y=-2x-13

Answers

Step-by-step explanation:

Given equations :-

y = x²+ 8x + 12y = 2x - 13

Substitute (2) in (1) :-

2x - 13 = x² + 8x +12x² + 8x + 12 - 2x + 13 = 0 x² + 6x + 25 = 0 x = -6±√6²-4*1*25 /2*1 x = -6 ±√36-100/2 x = -6±√-64 / 2 x = -6 ± 8i / 2 x = -3 ±4i

fifteen minutes past eight in the evening on a 24 hour clock​

Answers

Answer: The time is 20:15 on a military time clock.

Step-by-step explanation:

(1 point) Use the graph below to find exact values of the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp corner at x = 2. The graph of g(x) is blue.
Let h(x) = f(g(x)). Find
A. h'(1) =
B. h'(2) =
C. h'(3) =

Answers

Derivatives can be calculated from graphed functions.

The values of the derivatives are:

The given parameter is:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Start by calculating the equations of f(x) and g(x)

Graph f(x)

The slopes of f(x) are: 3/2 and -3/2

So, the equations are:

[tex]\mathbf{f(x) = \frac{3}{2}x,\ 0 \le x \le 2}[/tex]

[tex]\mathbf{f(x) = -\frac{3}{2}x,\ x \ge 2}[/tex]

Graph g(x)

The slope of g(x) is: -1/2

So, the equation is:

[tex]\mathbf{g(x) = -\frac 12x}[/tex]

For x = 1 and x = 2, we have:

So, we have:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Where:

[tex]\mathbf{f(x) = \frac{3}{2}x\ 0 \le x \le 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]

[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes

[tex]\mathbf{h(x) = \frac{3}{2}(-\frac{1}{2}x)}[/tex]

Open brackets

[tex]\mathbf{h(x) = -\frac{3}{4}x}[/tex]

Differentiate

[tex]\mathbf{h'(x) = -\frac{3}{4}}[/tex]

So:

[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex]

[tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex]

For x = 3, we have:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Where:

[tex]\mathbf{f(x) = -\frac{3}{2}x\ x \ge 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]

[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes

[tex]\mathbf{h(x) = -\frac{3}{2}(-\frac{1}{2}x)}[/tex]

[tex]\mathbf{h(x) = \frac{3}{4}x}[/tex]

Differentiate

[tex]\mathbf{h'(x) = \frac{3}{4}}[/tex]

Substitute 3 for x

[tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]

Hence, the values of the derivatives are:

[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex], [tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex] and [tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]

Read more about graphed functions at:

https://brainly.com/question/11804653

hi I was just a little bit of time with my module and I didn't know what is answer of the module now please please be sure of the answer please I want to know the answer please can I​

Answers

1. 5 x 4 = A. 20

2.

[tex] \frac{2}{5} \times 25 = 2 \times 5 = 10[/tex]

the answer is D. 25

3.

[tex] \frac{3}{5} \div 15 = \frac{3}{5} \times \frac{1}{15} = \frac{1}{5} \times \frac{1}{5} = \frac{1}{25} [/tex]

the answer is A. 1/25

4.

[tex]4 \div \frac{1}{2} = 4 \times \frac{2}{1} = 8[/tex]

the answer is C. 8

5.

[tex]9 \div \frac{1}{3} = 9 \times \frac{3}{1} = 27[/tex]

the answer is D. 27

6.

[tex]20 \div \frac{1}{4} = 20 \times \frac{4}{1} = 80[/tex]

the answer is D. 80

7.

[tex] \frac{9}{10} \div \frac{1}{2} = \frac{9}{10} \times \frac{2}{1} = \frac{18}{10} = \frac{9}{5} = 1 \frac{4}{5} [/tex]

the answer is C. 1 4/5

8.

[tex]9 \div \frac{3}{2} = 9 \times \frac{2}{3} = \frac{18}{ 3} = 6[/tex]

the answer is B. 6

9.

[tex] \frac{3}{4} \div \frac{3}{8} = \frac{3}{4} \times \frac{8}{3} = 2[/tex]

the answer is A. 2

1/5×8 simplified =?!?!

Answers

your answer is 8/5 as an improper fraction simplified

Answer:

the answer is 1.6

Step-by-step explanation:

The coordinates of the vertices of quadrilateral ABCD are A(0,4), B(4,2), C(2, -1), and D(-2,1). Jorge states that quadrilateral ABCD is a parallelogram. Prove or disprove Jorge's statement. ( Will Mark Brainliest and Please Do Not Repost Someone Else's Answer on here from brainly or any other websites.​

Answers

Answer:  Parallelogram

Step-by-step explanation:

Yes , a parelogram will come out ; and it can be proved by the Pythagorean theorem by completing the parallelogram to a rectangle

I NEED HELP OR I WILL GET A FAT F!!! What Is 6.38 times 5.2 rounded product to the nearest whole number!!!

Answers

Answer:

33.176

Step-by-step explanation:

find the value of each of the following a) 6+14÷7_2×3 ​

Answers

Answer:

48

Step-by-step explanation:

6 + 14 ÷ 7

= 8

= 8 _ 2× 3

= 8_ 6

=8×6

=48

Which equation is true when the value of "y" is 3 ? PLEASE HELP. NO LINKS! A: 2y -3 =6
B: 3y -2 =6
C: 11y +4 = 37
D: 4y +11 =37

Answers

Answer: Choice C)  11y+4 = 37

Explanation:

If we replaced y with 3 in choice A, then we get

2y-3 = 6

2(3)-3 = 6

6-3 = 6

3 = 6

which is a false statement. So choice A's solution is not y = 3. We can cross choice A off the list. The same applies with choices B and D as well.

Choice C is the answer because,

11y+4 = 37

11(3)+4 = 37

33+4 = 37

37 = 37

which is true. This confirms choice C.

Calvert Math assinment

Answers

Answer:

I dont understand ur question

At the end of the night, a restaurant had 3/4 of a large birthday cake left over. The 5 employees each took home the same amount of leftover cake. How much cake did each employee take home?

Answers

Answer:

3/20

Step-by-step explanation:

This is a division question.

The equation is 3/4 ÷ 5 or, to simplify this, 3/4 ÷ 5/1.

When you divide fractions you have to flip the second number and multiply the two fractions.

So, you have to do 3/4 x 1/5 which is 3/20.

Thus, the answer is 3/20.

Good luck!

Which of the following inequalities is represented by the number line?
Question 9 options:

A)

x ≥ 1

B)

x < 1

C)

x > 1

D)

x ≤ 1

Answers

Solid dot with line (arrow) to right so A) x>= 1 is correct

Answer:

Step-by-step explanation:

x ≥ 1

Hope this helps!

close circle = ≥ or ≤

open circle = > or <

positive number = going to the right

negative number = going to the left

What is the value of the expression (2.75) (5.2)?

Answers

Answer:

14.3

Step-by-step explanation:

2.75 * 5.2=14.3

I have more question then this

Answers

Answer:

A. A reflection over the x-axis

Answer:

this is A, a reflection over the x axis

What is the equation of the line that has a slope of 3 and a​ y-intercept of​ 2?

Answers

The equation of a line is written as t = ax + b where a is the slope and b is the y-intercept.

Using the slope and y intercept given the equation is:

Y = 3x + 2

Does this graph represent a proportional relationship?
giving brainlist for correct

Answers

Answer:

No

Step-by-step explanation:

because it doesn't pass through the origin.

PLZ HURRY IM TIMED and no silly answers


Malia split up the large container of salsa that she bought equally into 5 bowls to place around her house for the party. If each bowl contained 8.5 ounces of the salsa, which shows the correct equation and value of x, the total amount of salsa in the original container?
StartFraction x over 5 EndFraction = 8.5; x = 1.7 ounces
StartFraction x over 5 EndFraction = 8.5; x = 42.5 ounces
5 x = 8.5; x = 1.7 ounces
5 x = 8.5; x = 42.5 ounces

Answers

Step-by-step explanation:

I would say 5 x= 8.5; x = 42.5 ounces that's my guess

Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12

Answers

Answer:

your answer is 3/15

Step-by-step explanation:

if im wrong pls let me know

64 is 20% of what number?​

Answers

Answer:

320

Step-by-step explanation:

64 by 5 equals 320

Answer:

320

Step-by-step explanation:

Divide 64 by 0.2

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