Is X +3 a factor of 2X squared minus 2X -12

Answers

Answer 1

Answer: No, x+3 is not a factor of 2x^2-2x-12

========================================================

Explanation:

Let p(x) = 2x^2 - 2x - 12

If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).

Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

p(x) = 2x^2 - 2x - 12

p(-3) = 2(-3)^2 - 2(-3) - 12

p(-3) = 12

We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12

----------------------------------------

Let's see what happens when we factor p(x)

2x^2 - 2x - 12

2(x^2 - x - 6)

2(x - 3)(x + 2)

The factors here are 2, x-3 and x+2


Related Questions

Please help me hahahhahahhahahhhhhhshshs can

Answers

Answer:

The slope of this line is -2/3x.

Step-by-step explanation:

The slope can be found by getting x1 and y1 (0,3) and x2 and y2 (3,1). Once you have these you would do y2 - y1 / x2 - x1.

And the equation then is

1 - 3 / 3 - 0.  After simplifying this you get -2/3.

7 + 5x = 2x + 25
step by step pls:(

Answers

Answer:

x = 6

Step-by-step explanation:

7 + 5x = 2x + 25

first subtract 7 from both sides to isolate 5x on the left

5x = 2x + 18

then subtract 2x from both sides to isolate all of the x terms to one side

3x = 18

then divide 18 by 3 to solve for x

x = 6

hope this helped!! :)

Answer:

i got you, i wrote it out and all gimme brilliantness

Step-by-step explanation:

A carpenter use 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase. Are 32 shelves enough to build 6 more bookcases?

Answers

Answer:

Yes.

Step-by-step explanation:

First, find the unit rate for 1 bookcase.

65 ÷ by 13 = 5 (unit rate)

Then, multiply the unit rate by the bookcases the carpenter wants to make.

6 · 5 = 30

Finally, subtract the shelves the carpenter wants to use by 30.

32 - 30 = 2 shelves.

Therefore, 32 shelves is enough to build 6 more bookcases. <3

11) Is the following biconditional true? Explain. Two people are brother and sister if-and-only-if they are siblings.​

Answers

Answer:

Well, not exactly.

Step-by-step explanation: You see, there's this thing called half siblings. They aren't exactly quite any different to normal siblings, except the fact that they either have the same mother and different father, or the same father and different mother. This usually results after a mother and a father divorce, or their respected love one dies, and they have children. The mother/father then can remarry, and when their wife/husband also has a child. The two or more children become half siblings. Also, if we're gonna talk not literal siblings. Close friends often like to think of each other as siblings, though they aren't biologically siblings. Half siblings and step sisters are two different things, half is where your sibling shares half your genes, and step siblings are where they don't have any of your genes and only their respected parent's genes. Now depending on if they mean biologically siblings, I would say true. But if they count all, then it would be false.

Which equation is true for the value b= 10?
O A.
2(b + 4) = 16
O B.
2(b + 2) = 40
O C.
3(b- 2) = 24
OD
2(8 + b) = 42
OE.
3(b - 4) = 20

Answers

The answer to the question is D

Answer: C. 3(b-2)=24

Step-by-step explanation: See since b equals ten and by the rules of P.E.M.D.A.S the parenthesis/brackets comes first so 10-2 equals 8 and three times 8 is 24 therefore the answer is 24

what does 9a-2=12+2a​

Answers

Answer:

a=2

Step-by-step explanation:

Subtract 2a from both sides.

9a−2−2a=12

Combine 9a and −2a to get 7a.

7a−2=12

Add 2 to both sides.

7a=12+2

Add 12 and 2 to get 14.

7a=14

Divide both sides by 7.

a=[tex]\frac{14}{7}[/tex]

Divide 14 by 7 to get 2.

a=2

Write the equation in slope-intercept form 2x−8y=24

Answers

Answer:

y=1/4x - 3

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{4}x-3[/tex]

Step-by-step explanation:

Quadratic functions 2. Did I do it right

Answers

Yea you did, good job

PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help

Answers

Answer:

22 units

Step-by-step explanation:

Known Quantities:

AB = CD and AC = BD

Calculations:

AB = 8AC = 3CD = 8BD = 3

Final Calculations:

perimeter = 2 x (3+8)perimeter = 22

7a(3b - 2c + 4)


Help?

Answers

Answer:

21ab-14ac+28a

Step-by-step explanation:

[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]

Simplify 45 / 3 + 2 * 8 - 12 + 42

Answers

Answer:

61

Step-by-step explanation:

It’s 61 just do the calculation that’s what I did I hope this helped

What is the ratio of 3:6

Answers

Answer:

1:2

Step-by-step explanation:

You didn't really specify, but I'm going to assume you meant as simplified as possible. If you write it as a fraction, it will be ½ or as a decimal it will be 0.5.

Answer:

1:2

Step-by-step explanation:

Simplifying a ratio is like simplifying a fraction.

Simply put the number to the left as the numerator, and the number to the right as the denominator.

In this case, 3/6 = 1/2.

Hence, plug the numbers right back in and you get 1:2.

Hope this helped!

D=
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.

Answers

Answer:

Step-by-step explanation:

D = { - 4 , 0 , 2 , 7 }

R = { - 8 , - 1 , 3 }

Yes the relation is a function.

A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?

Answers

The expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.

Given that repeatedly throwing a fair tetrahedral die, trying to get a 4 (success) before getting a number from 1 to 3 (failure), which follows a geometric distribution.

To find the expected number of visits to 0 before reaching 4, analyze two cases:

success (reaching 4 before 0) and failure (reaching 0 before 4).

By the given data, the probabilities of two cases are:

P(success) p = 1/4,

P(failure)=3/4.

The expected count of failures, X, can be found in terms of success probability p as

[tex]E[X]=\sum_{x=0}^{+\infty}[x(1-p)^xp][/tex]

On substituting p = 1/4 gives:

[tex]E(X) = 0(1/4)+1(3/4)(1/4)+2(3/4)^2(1/4)+3(3/4)^3(1/4)+.........[/tex]

On taking (1/4) gives

[tex]E(X) = 1/4[3/4+(3/4)^2+(3/4)^3+......+\infty]----(1)[/tex]

Consider [tex]3/4+(3/4)^2+(3/4)^3+......+\infty[/tex]

This forms a geometric series tends to infinity and the sum is given by :

[tex]S_\infty = a/(1-r)[/tex]

Here: a= 3/4

r = 3/4

Plugging these values into formula gives:

[tex]3/4+(3/4)^2+(3/4)^3+......+\infty = S_\infty[/tex]

[tex]S_\infty= 3/4/(1-3/4)[/tex]

On subtracting the denominator gives:

= 3/4/(1/4)

On taking reciprocal gives:

= 3/4 * 4

On simplifying gives:

= 3

Substituting these value into given equation 1 gives:

E(X) = 1/4*[3]

On multiplying gives:

E(X) = 3/4.

Therefore, the  expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.

Learn more probability about here:

https://brainly.com/question/23846068

#SPJ4

1. To graph any linear equation in the calculator it needs to be in the slope
y intercept form. What is the slope y-intercept form for the equation
4y – 20x = -8

Answers

Answer:

y=mx+b no judgement i think this is right but i coukldbe completely off

Step-by-step explanation:

write 9.68 in expanded form

Answers

Answer:

9+0.6+0.08

Step-by-step explanation:

The given decimal number in expanded form is 9+0.6+0.08.

The given decimal number is 9.68.

What is expanded from of a decimal number?

Unlike whole numbers, decimal numbers can also be written in the expanded form. For writing the decimals in expanded form, we multiply each of the decimal digits with increasing exponent values of (1/10).

Now, the expanded form of 9.68 is

9×1 + 6×1/10 + 8×1/100

= 9+0.6+0.08

= 9.68

Therefore, the given decimal number in expanded form is 9+0.6+0.08.

To learn more about the expanded form of a decimal numbers visit:

https://brainly.com/question/145272.

#SPJ2

Find the slope and the y-intercept of the graph of y
-4/5x - 2

Answers

Answer:

slope - (-4/5)

y- intercept - (0,-2)

Step-by-step explanation:

Answer:

the slope is -4/5 and the y intercept is -2

Step-by-step explanation:

Solve the equation. 4d + 2d – 4d + 4 = 3d

Answers

Answer:

d = 4

Step-by-step explanation:

1. Simplify both sides of this equation, to start off with.

[tex]4d+2d−4d+4=3d

[tex]4d+2d−4d+4=3d[/tex]

[tex]4d+2d+−4d+4=3d[/tex]

2. Combine all the like terms you see here.

(4d+2d+−4d)+(4)=

d+4=3d[/tex]

(2d+4=3d)[/tex]

3. Subtract 3d from both sides of this equation.

[tex]2d+4−3d=3d−3d[/tex]

[tex] - d + 4 = 0[/tex]

4. Subtract 4 from each sides of the equation.

[tex]−d+4−4=0−4[/tex]

[tex] - d = - 4 [/tex]

5. Divide both of the sides by -1.

[tex] \frac{ - d}{ - 1} = \frac{ - 4}{ - 1} [/tex]

Therefore, the answer is d = 4.

What is 400,000 in scientific notation?
O A) 40 x 104
OB) 400 x 103
OC) 4 x 106
OD) 4 x 105

Answers

Answer:

4 x 10⁵

so that i think will be OD)

Find the percent of decrease from 27 to 18.
PLEASE HELP

Answers

-33.33333333333333 %A change from 27 to 18 represents a negative change (decrease) of -33.33333333333333%

Use the formula found below on this webpage to find the percent changeby replacing the given values:Percent change = New - Old|Old|  100%Percent change = 18 - 27|27|  x 100 = -927  x 100 = -33.33333333333333decrease)

Where: 27 is the old value and 18 is the new value. In this case we have a negative change (decrease) of -33.33333333333333 percent because the new value is smaller than the old value.

The Answer is: -33.33333333333333% or 33.3

What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.

Answers

the answer is m = 0. i hope this helps-

if the cost of 8 mobile set is rs 40,000.how many mobile sets can be purchased for Rs 100,000​

Answers

Answer:

20 mobile sets.

Step-by-step explanation:

Every mobile set costs:

40000 / 8

= 5000 Rs.

Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:

100,000 / 5000

= 20 mobile sets.

Hope this helped!

Can somebody plz answer this question quick and correctly!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :D

Answers

Answer:

42%

Step-by-step explanation:

100% - 58% = 42%

Is the relation in the mapping below a function? Explain.
Domain
1,3,5,7
Range
2,4,6

Answers

Answer: No

Step-by-step explanation:

The range and the Domain aren’t equal

i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??

Answers

Answer:

i believe its the rise and the run of the slope.

Step-by-step explanation:

i believe its something similar to this photo

Please Help Quick ASAP Hurry This is Pre-Algebra 1 i need the answer now please ASAP
Which Word Best describes the numbers 10 and -10?
A.Opposites
B.Coordinate
C.Absolute Value
D.Expression

Answers

Answer:

Part A

Step-by-step explanation:

A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.

Answers

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

The required equation will be in the form y = Ae^kt

where:

k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.

If High School A currently has 850 students and is projected to grow by 35 students each year, hence;

A = 850k = 35 (growth factor)

Substituting into the formula, we will have:

y = 850e^35t

If High School B currently has 700 students and is projected to grow by 60 students each year, hence;

A = 700k = 60 (growth factor)

Substituting into the formula, we will have:

y = 700e^70t

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

Learn more on exponential function here: https://brainly.com/question/12940982

In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.​

Answers

Answer:55.6

Step-by-step explanation:

Answer:

55.6

Step-by-step explanation:

Write 0.272727272727273 as a fraction in simplest form

Answers

Answer:

27/100?

Step-by-step explanation:

A cuboid with a volume of 925cm^3 has dimensions.
4cm, (x + 1) cm and (x + 11) cm.
Show clearly that x^2 + 12x - 220 = 0
Solve the equation by factorising, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.

Answers

Answer:

Step-by-step explanation:

Volume of the cuboid = Length * Width * Height

Given

Length = 4cm

Width = (x+1)cm

Height = (x-11)cm

Volume of the cuboid = 4(x+1)(x+11)

Volume of the cuboid = 4(x^2+11x+x+11)

Volume of the cuboid = 4(x^2+12x+11)

Volume of the cuboid = 4x*2+48x+44

925 = 4x*2+48x+44

4x*2+48x+44-925 = 0

4x*2+48x-881 = 0

Divide through by 4

x^2 + 12x - 220.25 = 0

Factorize using the general formula;

x = -12±√12²-4(-220.25)/2

x = -12±√144+881/2

x = -12±√1025/2

x = -12±32/2

x = 12+32/2

x = 20/2

x = 10

Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm

Dimension is 4cm by 11cm by 21cm

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