(x – 5)²<span> + 3(x – 5) + 9 = 0
x</span>² - 10x + 25 + 3x - 15 + 9 = 0
x² - 7x - 16 = 0
or
or
(Answer B)
<span>Multiply w+2 by w+7 to get (w+2)(w+7)
Expand </span><span>(w+2)(w+7) using F.O.I.L
</span><span><span><span>ww + w * 7 + 2w + 2 * 7
Simplify and combine
w^2 </span>+ <span>9w </span></span>+ 14</span>
Let the walker’s speed be W, then the biker’s is W+1.5W=2.5W. Difference in speed is 1.5W. Distance=speed times time, so 12.5=1.5W×1.5=2.25W, and W=12.5/2.25=1250/225=50/9=5.56 mph. The biker’s speed is 2.5W=125/9=13.89 mph to 2 Dec places.
(Note: “1.5 times faster than a walker’s speed” could not reasonably mean the biker’s speed=1.5W because this would give W=16.67 mph, which is very fast for a runner, let alone a walker (!), and a biker’s speed of 25mph.)
Answer:
The number 0.25 represents $0.25 per mile and 30 would represent a $30 flat rate (mandatory payment).
Explanation:
Car rental companies usual charge a certain amount per mile the renter drives the car including a flat rate. So here is what all the equations terms mean...
• C(m) = total cost to rent a car
• .25 = how many each mile costs
• m = how many miles the renter will drive or has driven
• + = add together
• 30 = flat rate to rent a car
If n=5 then 2*5=10, 10+3=13.