Answer:
x = -4
Step-by-step explanation:
1/6(6x−12)=−13−(x−3)
Distribute
x -2=−13−x+3
Combine like terms
x-2 = -x-10
Add x to each side
x-2+x = -x-10+x
2x-2 = -10
Add 2 to each side
2x-2 +2 = -10+2
2x = -8
Divide by 2
2x/2 = -8/2
x = -4
3x + 7(3x + 2) + 4x - 5
Distribute the parenthesis.
3x + 21x + 14 + 4x - 5
Add like-terms
28x + 9 is your simplified expression.
Hope this picture helps you
Answer:
area of the rectangle = 5(m⁶ - 2m⁵ - m⁴) or 5m⁴(m² - 2m - 1)
Step-by-step explanation:
The rectangle has a height of 5m⁴ and the width is m² - 2m - 1.The area of the rectangle is the product of the width and the height.
width = m² - 2m - 1
height = 5m⁴
area of rectangle = 5m⁴ × (m² - 2m - 1)
area of rectangle = 5m⁴(m² - 2m - 1)
area of the rectangle = 5m⁶ - 10m⁵ - 5m⁴
area of the rectangle = 5(m⁶ - 2m⁵ - m⁴)
The area of the entire rectangle can be expressed as 5(m⁶ - 2m⁵ - m⁴) or 5m⁴(m² - 2m - 1)
Let x and y be the two numbers. We have:
Subtract the first equation from the second to get
And deduce
The two numbers are 3 and 11.
