Answer:
Step-by-step explanation:
1) Rewrite 
in the form
, where a = y and b = 1.
2) Use Square of Difference: 
.
3) Factor 
.
1 - Ask: Which two numbers add up to 6 and multiply to -7?
-1 and 7
2 - Rewrite the expression using the above.
Outcome/Result: 
4) Rewrite the expression with a common denominator.
5) Expand.
6) Collect like terms.
7) Simplify 
to 
Answer:
12
Step-by-step explanation:
area is base x height. 3×3 is 9. all sides of a square are equal so 3+3+3+3= the perimeter which is 12.
Let the third side = x.
The sum of any two sides must be greater than the third side
14 + 9 > x
23 > x
14 + x > 9
x > -5
9 + x > 14
x > 5
So 5 < x < 23
Answer:
$3 max
Step-by-step explanation:
Charge= b, Customer= c, Revenue= r
r= bc, currently, r= 16*10= $160
We know that: b+1 ⇒ c-2 and the target is r ≥ 130
So, this will all be reflected as:
b=10+x ⇒ c= 16-2x
- (10+x)(16-2x) ≥ 130
- 160 -20x +16x - 2x² ≥ 130
- -2x² - 4x + 30 ≥ 0
- x² + 2x -15 ≤ 0
- (x+1)² ≤ 4²
- x+1 ≤ 4 (negative value not considered)
- x ≤ 3
As we see the max increase amount is $3, when the revenue will be:
(10+3)*(16-3*2)= 13*10= $130
