(12x³+3x²-108)÷ (3x-6)
 use long division to find the quotient below.

Answers

Answer 1
Answer: ( 12x^3+3x^2-108)/(3x-6) =(3(4x^3+x^2-36))/(3(x-2))=( 4x^3+x^2-9x^2+ 9x^2-36 )/( x-2 )=\n \n=(4x^3-8x^2+9x^2 -36)/( x-2 )=( 4x^2(x-2) +9(x^2 - 4))/( x-2 )=\n \n=( 4x^2(x-2) +9(x - 2)(x+2))/( x-2 )=( (x-2) [4x^2+ 9 (x+2)])/( x-2 )= \n \n=4x^2+ 9( x+2)=4x^2+ 9 x+18



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20 POINTS ! PLUS BRAINLIEST ANSWERGive the sum of 2x -3 and 7x + 21
Find the measure of angle KMP
Find the measure of the complement of angle KMX

Photo is attached please give correct answers otherwise I will have to report the answer for false info and get my points back

Answers

Give the sum of 2x -3 and 7x + 21 
2x-3+7x+21
Add like terms:
9x+18

Find the measure of angle KMP
<KMX + <XMY = 180   (because they are on a line)
2x-3+7x+21=180
9x+18=180
9x=162
x= 18
<XMY and <KMP are vertical angles so they have the same angle measure. So find <XMY with x.
<XMY= 7x+21
<XMY= 7(18)+21
<XMY= 126+21 = 147 degrees
<XMY = <KMP = 147 degrees

First find <KMX to find the complement of it.
<KMX=2x-3
<KMX=2(18)-3
<KMX=36-3
<KMX=33
The complement of an angle is 90 degrees subtracted by the angle itself because complementary angles add up to 90 degrees.
90-33=57
The complement would have 57 degrees.

Answers : 
9x+18
147 degrees
57 degrees

Hope this helps :)

sum of 2x-3 and 7x+21
2x-3+7x+21
2x+7x-3+21
9x+18

since KY is a straight line, 2x-3+7x+21=180
9x+18=180
subtract 18
9x=162
divide 9
x=18
subsitute
2x-3
2(18)-3
36-3
33=KMX
other angle is
33+otherangle=180
otherangle=XMY=147
KMP=XMY=147

KMX=33
complement is what adds to 90
33+what=90
subtract 33
what=57
complement is 57 degrees










2x-3+7x+21=9x+18
KMP=147
complement of KMX=57

Quick question!!!!!!!

Answers

Answer:

72.5

Step-by-step explanation:

Please help me! You are offered a job as a sales professional. You are offered a monthly base (fixed) salary of $1,000 plus 30% of the total sales you make for the month.

1) Write a linear function that represents your monthly income.

2) What is the slope? What does it mean in this context?

3) What is the y-intercept? What does it mean in this context?

4) BONUS (1 pt) If you sell $5,000 worth of product, what is your monthly income?

Answers

Answer:

1) y = 0.3x + 1000

2) slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3) y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4) The salary is $2500

Step-by-step explanation:

1)

monthly salary = fixed part + variable part

The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.

The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x

Let the monthly salary = y.

y = 1000 + 0.3x

y = 0.3x + 1000

2)

slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3)

y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4)

In this case, x = 5000

y = 0.3x + 1000

y = 0.3(5000) + 1000

y = 1500 + 1000

y = 2500

The salary is $2500.

1.Выполните действия:а) (а^2– 2b)^2
б) (-7x — 1)^2
в) (-5а +2в^4)^2
г) (x-12)(х+ 12)
д) (- 4n^3 +7)(4n^3+7)​

Answers

Answer:

Step-by-step explanation:

a. a^4 - 2ab^2 - 2ab^2 + 4b^4 = a^4 - 4ab^2 + 4b^2

b. 49x^2 - 14x + 1

c. 25a^2 - 20ab^4 + 4b^8

d. x^2 - 144

e. -16n^6 - 28n^3 + 28n^3 + 49 = -16n^6 + 49

Trig please helpLaw of Sines and the Ambiguous Case.

In ∆ ABC, a =32, b = 44, and m < A = 68*
How many distinct triangles can be drawn given these measurements?

Answers

Answer:

None (zero)

Step-by-step explanation:

32/sin(68) = 44/sinB

sinB = 1.2748778

Not possible

Help ASAP!! I need help fast!!!!

Answers

the answer to this question is : 8^2/4 -6 = 10