6x^2 + x - 15 = 6x^2 - 9x + 10x - 15 = 3x(2x - 3) + 5(2x - 3) = (3x + 5)(2x - 3)
Therefore, the other factor is 3x + 5.
Answer:
12
Step-by-step explanation:
The computation of the size of the customers is shown below:
Here we find the greatest common divisor of the given numbers
96, 60, 84 ÷ 2
48, 30, 42 ÷ 2
24, 15, 21 ÷ 2
12, 15, 21 ÷ 2
6, 15, 21 ÷ 2
3, 15, 21 ÷ 3
1, 5, 7 ÷ 5
1, 1, 7 ÷ 7
1, 1, 1
By this there are three numbers i.e. 2, 2 and 3
So, the lease common denominator is
= 2 × 2 × 3
= 12
Answer:
x = - 4 y = - 4
Step-by-step explanation:
x+y= - 8
-9x-6y=60
First, solve for x in the first equation:
x+y = - 8 Subtract y from both sides
x + y - y = -8 - y y cancels on the left
x = - 8 - y
Now plug in what you found for x into the 2nd equation and solve for y.
- 9x - 6y = 60
-9(- 8 - y) - 6y = 60 Multiply out
72 + 9y - 6y = 60
72 + 3y = 60 Subtract 72 from both sides
72 - 72 + 3y = 60 - 72 72 cancels on the left
3y = - 12 Divie both sides by 3
3y/3 = -12/3 3 cancels on the left because 3/3 = 1
y = -4
Now plug your answer for y back into the first equation to get x.
x + y = -8
x + (-4) = - 8 Add 4 to each side
x - 4 + 4 = - 8 + 4 4 cancels on the left
x = -4
x = - 4 and y = - 4
Kaitlin bought 4 pounds of coffee.
70-39.24=30.76
30.76 ÷ 7.69= 4
