Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is 
, then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
which comes from the quadratic formula, but without the square root sign. Filling in:
which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
__
Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
__
The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
Answer:
the simplified form is 3/5
Step-by-step explanation:
Step-by-step explanation:
step 1. let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.
step 2. A = P(1 + r/n)^(nt)
step 3. A = 1600(1 + .03/12)^((12)(5)
step 4. A = 1600(1.0025)^(60)
step 5. A = $1858.59
Answer:
18
Step-by-step explanation:
1/3 * 18 = 6 or 6/(1/3) = 18 or 6 * 3 =18
