Answer:
4 seconds
Step-by-step explanation:
When the ball is on the ground h = 0, hence
- 16t² + 64t = 0 ( solve for t )
factor out - 16t
- 16t(t - 4) = 0
equate each factor to zero and solve for t
- 16t = 0 ⇒ t = 0
t - 4 = 0 ⇒ t = 4
the 0 solution is the height of the ball before being hit and
the time the ball takes to hit the ground is 4 seconds
Hello there!
Okay, I don't know if this is a "select all that apply", but I believe that answers 1, 2, and 3 are all equivalent to 0.53.
To see how these fractions are equal, I divided the numerators by the denominators. For instance, you could have 4 over 5 (4/5) and divide 4 by 5 (4/5) to get 0.8. Now you'll do the same thing for the fractions given
24/45=0.533...
8/15=0.533...
48/90=0.533...
5/9=0.5556
As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556
I hope this helps you out!
Answer:
y = 250x + 1500
Step-by-step explanation:
Slope is 250
y-intercept = 3000 - 6 × slope
3000 - 1500 = 1500
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Answer:
BC= 29
Step-by-step explanation:
If the total, AC, is 54 and AB is 25 subtract those two to find the last part, BC.
You know 1 is not a root because the sum of the coeffcients of the equation is 14, not zero.
It is fairly easy to try 3 by synthetic division (see attachment), which tells you that 3 is a root and the remaining quadratic factor is x²-3x-5. The quadratic formula tells you the roots of that factor are
... x = (-b±√(b²-4ac))/(2a) = (3±√29)/2
The appropriate choices are
... C. (3-√29)/2
... D. (3+√29)/2
... F. 3
_____
The quadratic formula tells you the solution to
... ax²+bx+c=0
is x = (-b±√(b²-4ac))/(2a)
We have a=1, b=-3, c=-5.