H(t) = -16t2 + 186t + 43
at the ground h = 0
hence; -16t2 + 186t + 43 = 0
solving this quadratic equation using the quadratic formula ; a = -16, b = 186, c = 43 ; x = (-b +-(b2 - 4ac)1/2)/2a
gives t = 11.8 seconds to the nearest tenth (note that the negative root has no practical significance)
Answer:
x = -13/5
Step-by-step explanation:
let x be the number
8x + 6 = 3x - 7
move variables to left and numbers to right
8x - 3x = - 7 -6
5x = -13
x = -13/5
Answer:
14x + 6y = 10
14x + 35y = -77
Step-by-step explanation:
Multiply the top one by 2
14x + 6y = 10
Multiply the bottom one by 7
14x + 35y = -77
His next step is to subtract. You could have done this by multiplying the top one by -2
-14x - 6y = - 10
14x + 35y = -77 Now all you need do is add. The question now becomes what do you do? What answer do you give? I think the expected answer is the top two equations, but if I was actually doing the problem, I'd use the bottom 2.
Answer:
24 minutes
Step-by-step explanation:
Working at the same speed, the ratio of time to length is the same:
time/length = t/12 = 3/(1.5)
t = 12(3/1.5) = 12(2) = 24
It will take Mark 24 minutes to make a 12-inch bracelet.
Answer:
first term: degree=4, coefficient= -2
second term: degree=3, coefficient=1
third term: degree=1, coefficient= -8
fourth term: degree= 1, no coefficient
fifth term: degree=2, coefficient=5
Step-by-step explanation:
