Answer:
r = -6, -1
Step-by-step explanation:
r^2 + 7r+6 =0
Factor
What 2 numbers multiply to 6 and add to 7
6*1 =6
6+1 =7
(r+6) (r+1) =0
Using the zero product property
r+6 =0 r+1 =0
r = -6 r=-1
Answer:
The length is 56 and the width is 54.
Step-by-step explanation:
The perimeter of a rectangle is 2x+2y (width and length on both sides). so 2x+2y=220. Also x=y-2, because the width is 2 feet less than the length. Fill x=y-2 in 2x+2y=220 and we get 2(y-2)+2y=220. 2y-4+2y=220. 4y=216. y=54. Fill in y=54 in 2x+2y=220 and we get 2x+2(54)=220. 2x=220-2(54)=112. x=56.
If we take both sides of the equation
and <em>multiply either expression by 3</em>, the equality becomes

Multiplication of both sides of an equality by the same number keeps the equality true, and we call this property the multiplication property of equality.
Answer:
∠2 = 152
Step-by-step explanation:
A straight angle should always equal 180, and that is really the key to how we answer this problem. That means that ∠1 and ∠2 are supplementary, and add up to 180°.
That means that 180-28, will give us our other angle.
Company A is operating more efficiently
Step-by-step explanation:
Given parameters:
Division A:
Sales = $180,000
Net income = $18,000
Average assets = $72,000
Division B:
Sales = $60,000
Net income = $9,600
Average assets = $48,000
Unknown:
Division operating more efficiently = ?
Solution:
Efficiency measures the relationship between the output from a business and the input into it. Here, the efficiency is the relationship between the net income and the average assets. it can be expressed as a percentage or ratio.
The net income is the profit derived from sales of a company's products.
The higher the value the more efficient a company is.
Efficiency =
x 100
Efficiency of division A =
x 100 = 25%
Efficiency of division B =
x 100 = 20%
Division A has a higher efficiency compared to B
Learn more:
Economic goals brainly.com/question/8951463
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