2p+6a=$14
3p+9a=$21
3p+9a=21
Subtract 9a
3p=21-9a
divide all by 3
p=7-3a
plug it into start equations
2p+6a=14
2(7-3a)+6a=14
14-6a....+6a=14
this zeroes out...
Answer:
$600
Step-by-step explanation:
A = P(1 + rt)
P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.
A= 5,000(1+ 0.08x1.5) = $5600
Answer:
See below.
Step-by-step explanation:
The x - 1 will move whole graph 1 unit to the right.
The 1/2 will stretch it horizontally by a factor 2.
The 2 will stretch it vertically by a factor 2.
The -7 translates it 7 units down.
Answer:
Step-by-step explanation:
<u>Simplify the numerator:</u>
- (2x - y)/(2x + y) + (2x + y)/(3y - 6x) + 8xy/(12x² - 3y²) =
- (2x - y)/(2x + y) - (2x + y)/3(2x - y) + 8xy/3(2x + y)(2x - y) =
- [3(2x - y)² - (2x + y)² + 8xy] / [3(2x + y)(2x - y)] =
- [12x² - 12xy + 3y² - 4x² - 4xy - y² + 8xy] / [3(2x + y)(2x - y)] =
- [8x² - 8xy + 2y²] / [3(2x + y)(2x - y)] =
- 2{2x - y)² / [3(2x + y)(2x - y)] =
- 2(2x - y) / [3(2x + y)]
<u>Simplify the denominator:</u>
- (4x²y - 2xy²) / (6x + 3y) =
- 2xy(2x - y) / [3(2x + y)]
<u>Now simplify the remainder of the expression:</u>
- 2(2x - y) / [3(2x + y)] × [3(2x + y)]/[2xy(2x - y}] =
- 1/xy
