Answer: The answer is b=–108
Step-by-step explanation: You’ll need to solve for b by simplifying the both sides of the equation, and then isolating the variable.
Answer:
Step-by-step explanation:
so the question is asking about the time from 1500 feet to 1100 feet. How long did they fall, w/o a parachute. aka "freefall" so, at 1500 feet the jumper is really at time zero. so, plug in to the formula
1100 = -16
+1500
( x represents seconds so i'll change it to t so we know it's time )
1100 = -16
+ 1500
now we can solve for t , to see how long the jumper falls
-400 = - 16
( subtracting 1500 from both sides of equation )
25 =
( dividing both sides by -16 )
oh.. look at how nice that turns out.. :)
= t ( take the square root on both sides )
5 = t
the jumper fell for 5 seconds to get to 1100 feet
Answer:
a = 6, b = 1, c = -6
Step-by-step explanation:
Quadratic equations can be written as ax² + bx + c. In this case, a = 6, b = 1, c = -6.
Answer:
84 ounces of pure gold
Step-by-step explanation:
Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?
Pure gold = 100% gold
Let the number of ounces of pure gold = x
Hence, we have the equation
40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces
= 0.4 × 60 + 1x = 0.75(60 + x)
= 24 + x = 45 + 0.75x
Collect like terms
x - 0.75x = 45 - 24
0.25x = 21
x = 21/0.25
x = 84 ounces
Therefore, we need 84 ounces of pure gold