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mart [117]
3 years ago
15

Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was

created.
Mathematics
2 answers:
mel-nik [20]3 years ago
8 0
We are asked in the problem to devise a polynomial equation that has a GCF of 6 which means each of the terms can be divided to 6. For example: 6*(x^2 + x+1) = 6x^2 + 6x +6. This polynomial is created by multiplying each terms by the number 6 which is distinguished by factoring. 
madam [21]3 years ago
7 0

Answer:

the equivalent form of 6(2x+3x+10) are 12x+18x + 60 and 30x+60

Step-by-step explanation:

Create a factorable polynomial with a GCF of 6

GCF is 6

Lets create a polynomial with 6 outside

6(2x+3x+10)

To get equivalent form we distribute 6 inside the parenthesis

12x+18x +60

12x+18x + 60 is one of the equivalent form of 6(2x+3x+10)

To get another equivalent form we combine like terms

12x+18x + 60 = 30x+60

30x + 60 is  the equivalent form of 6(2x+3x+10)

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help me pleaseeeeeee,Which of the following choices matches the system? y ≥ 2x + 1 and y ≥ -x + 3 y ≤ 2x + 1 and y ≤ -x + 3 y ≤
professor190 [17]

Answer:

y<=-x+3 and y<=2x+1

Step-by-step explanation:

y=-x+3 is the orange line. The shaded region is below so its y<-x+3

y=2x+1 is the blue line. The shaded region is below so y<2x+1

4 0
3 years ago
Jake buys a fruit smoothie and a protein bar for​ $5.90. Kobe buys 2 fruit smoothies and 4 protein bars. He pays​ $16.80. What i
Andrei [34K]

Answer:

Fruit smoothie: $3.4

Protein bar: $2.5

Step-by-step explanation:

Let x represent cost of fruit smoothie and y represent cost of protein bar.

We have been given that Jake buys a fruit smoothie and a protein bar for​ $5.90. We can represent this information in an equation as:

x+y=5.90...(1)

x=5.90-y...(1)

We are also told that Kobe buys 2 fruit smoothies and 4 protein bars. He pays​ $16.80. We can represent this information in an equation as:

2x+4y=16.80...(2)

Upon substituting equation (1) in equation (2), we will get:

2(5.90-y)+4y=16.80

11.80-2y+4y=16.80

2y=16.80-11.80

2y=5

y=\frac{5}{2}=2.5

Therefore, each protein bar costs $2.5.

Upon substituting y=2.5 in equation (1), we will get:

x=5.90-2.5=3.4

Therefore, each fruit smoothie costs $3.4.

8 0
4 years ago
A rectangle has a length that is 2 greater then its width. The area is 15 square centimeters. what are the dimensions of the rec
GaryK [48]

9514 1404 393

Answer:

  • length 5 cm
  • width 3 cm

Step-by-step explanation:

Your knowledge of multiplication facts tells you 3×5 = 15. Your knowledge of addition facts tells you 3+2 = 5. So, the dimensions 3 cm and 5 cm are the width and length of the rectangle, respectively.

3 0
3 years ago
A comic book store is having sale. You can buy 20 comic books for $35. What is cost of 8 comic books during the sale
san4es73 [151]

Answer:

The cost of 8 comic books is $14

Step-by-step explanation:

Given

20\ books = \$35

Required

Determine the cost of 8 books

First, we need to determine the cost of 1 book

20\ books = \$35

Divide through by 20

20\ books/20 = \$35/20

1\ book = \$35/20

1\ book = \$1.75

Then multiply both sides by 8 to get the cost of 8

8 * 1\ book = \$1.75 * 8

8 \ books = \$14

Hence;

<em>The cost of 8 comic books is $14</em>

7 0
3 years ago
Crystal has 6 blouses, 4 hats, 4 pairs of shoes and 9 skirts.
vagabundo [1.1K]

Answer:

Crystal have 4 distinct outfits.

3 0
3 years ago
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