MATHEMATICS MIDDLE SCHOOL

Which term can be used in the blank of 36x^3−22x^2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options. 1) 2
2) 4xy
3) 12x
4) 24
5) 44y

Answers

Answer 1
Answer:

Answer:

Option 2 and 3

Step-by-step explanation:

Given : Expression  36x^3-22x^2-\_

To find : Which term can be used in the blank of expression so the greatest common factor of the resulting polynomial is 2x ?  

Solution :

From the following options first we have to determine that it contain 2x.

1) 2-  x is missing

2) 4xy - 2x is present

So, 36x^3-22x^2-4xy=2x(18x^2-11x-2y)

3) 12x - 2x is present

So, 36x^3-22x^2-12x=2x(18x^2-11x-6)

4) 24 - x is missing

5) 44y - x is missing

Therefore, The required terms are 4xy and 12x.

So option 2 and 3 is correct.
Answer 2
Answer:

Answer:

2) 4xy

3) 12x

Step-by-step explanation:

You can figure this out by seeing which answer can have a 2x factored out of it.

4xy = 2x(2y)

12x = 2x(6)

The other answers dont have an x in it so you cant factor out a 2x from them.

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Mr. Crow, the head groundskeeper at High Tech Middle School, mows the lawn along the side of the gym. The lawn is rectangular, and the length is 5 feet more than twice the width. The perimeter of the lawn is 250 feet. Homework Help ✎Use the 5-D Process to find the dimensions of the lawn.

Use the dimensions you calculated in part (a) to find the area of the lawn.

What are the answers and how do i solve it thank you

Answers

Answer:

Dimensions, Length = 85 feet and Width = 40 feet

Area of lawn = 3400 feet^2

Step-by-step explanation:

Given: Lawn is rectangular in shape

          Length of lawn is 5 feet more than twice its breath/width

           Perimeter of Lawn = 250 feet

To find: (a) Length and width of lawn

             (b) Area of Lawn

First let the a variable for width/breadth. Say, Width = b.

So, the length of lawn = 2b + 5

Perimeter of Rectangle = 2 × ( length + width )

Now, substitue given values in this formula

∴ Perimeter of Lawn = 2 × ( 2b + 5 + b )

250 = 2*{(2b+b+5)}\n250= 2*{(3b+5)}\n3b+5 = (250)/(2)\n3b = 125 -5\n3b = 120\nb=(120)/(3)\nb=40

∴width = 40 feet

⇒ length = 85 feet

Now we find are of lawn using formula of area of rectangle

Area of lawn = length × width

                     = 85 × 40

                     = 3400 feet^2

Dimensions, Length = 85 feet and Width = 40 feet

Area of lawn = 3400 feet^2

Which of the following is equivalent to the expression (m+3)^4

Answers

Answer:

4C0m430 + 4C1m331 + 4C2m232 + 4C3m133 + 4C4m034

Step-by-step explanation:

Pascales triangle useing codes THis is also equivlent to x4 + 12x3 + 54x2 + 108x + 81

the problem isnt that hard. you need to do the distributive property or FOIL with (m+3) four different times. The answer would be

M^4 + 12M^3 +54M^2 +108M +81

8+—3(6+—6a) help please

Answers

We know that:

(+)+(-)=(-)

and:

(-)*(+)=(-)

8+(-3)[6+(-6a)]=8+(-3)*6+(-3)*(-6a)=8-18+18a=(-10)+18a

if you have solve for a then:

(-10)+18a=0
18a=10
a= (10)/(18)
a=(5)/(9)

What is the ratio of 4/9/5/9

Answers

4 to 9 or 4:9 
5 to 9 or 5:9 
if thats what your asking

If 45% of x is 200, what is x?

Answers

' 45% ' means ' 0.45 ' .
' of ' means ' times '.

                                               0.45 times 'x'  = 200

Divide each side by 0.45 :                       x  =  200/0.45 

                                                                   x  =  444 and 4/9 .    
45% of x=200
(45/100)x=200
x=(200*100) / 45=444.4444....≈444.44


Answer: x=444.44

To check
45% of  444.44=0.45 * 444.44≈200

Which is the graph of the cube root function f(x) = 3sqrtx?

Answers

Answer:

B

Step-by-step explanation:
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