Answer:
Andre has more money than Bob. If Andre gave Bob $20, they would have the same amount. While if Bob gave Andre $22, Andre would then have twice as much as Bob. How much does each one actually have?
Step-by-step explanation:
Here is the first sentence:
"If Andre gave Bob $20, they would have the same amount."
Algebraically:
1) x − 20 = y + 20.
(Andre -- x -- has the same amount as Bob, after he gives him $20.)
Here is the second sentence:
"While if Bob gave Andre $22, Andre would then have twice as much
as Bob."
Algebraically:
2) x + 22 = 2(y − 22).
(Andre has twice as much as Bob -- after Bob gives him $22.)
To solve any system of two equations, we must reduce it to one equation in one of the unknowns. In this example, we can solve equation 1) for x --
x − 20 = y + 20
implies x = y + 40
-- and substitute it into equation 2):
y + 40 + 22 = 2(y − 22).
That is,
y + 62 = 2y − 44,
y − 2y = − 44 − 62,
according to the techniques of Lesson 9,
−y = −106
y = 106.
Bob has $106. Therefore, according to the exression for x, Andre has
106 + 40 = $146.
I hope this helps u! :D
Try this option:
1. if 8*x²+b*x+3=8*x²+p*x+q*x+3, then ⇒ b=p+q.
2. p*q = max_value (b²/2), if p=q=0.5*b, and p*q→-oo, if p>0 and q<0 or p>0 q<0.
3. example:
given 8x²+10x+3, the student rewrites it as a) 8x²+5x+5x+3 (5*5=25-max value); b) 8x²+0.01x+9.99x+3 (9.99*0.01=0.0999→0); c) 8x²-20x+30x+3 (p*q=-600).
answer: (-oo;0.5b²)
Answer:
17.5
Step-by-step explanation:
11 + 24 = 35 /2
Answer:
TU ≈ 12.96
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )
TU = 
≈ 12.96 ( to the nearest hundredth )
