Answer:
d. 4 seconds after the ball is kicked
Step-by-step explanation:
The height function can be factored as ...
h = -16t(t -4)
The values of t where h = 0 are 0 and 4.
The ball will reach the ground again 4 seconds after it is kicked.
I would love to help! However I'm not sure what I'm supposed to be helping with. I could just be daft, but it isn't clear what you need from me.
Let's rewrite the equation as

This should be enough to convince you that the equation has no solutions, no matter which value for k you choose. In fact, the left hand side of the equation is an absolute value, which by definition is always positive, or zero in the worst case.
The equality asks for this quantity to equal -3, a negative number.
A non-negative quantity can never equal a stricktly negative quantity, so the equation has no solutions.
Answer:
53 hours
Step-by-step explanation:
If A is the time it takes Company A, and B is the time it takes Company B, then:
1/27 = 1/A + 1/B
A = B + 2
Substitute and solve:
1/27 = 1/(B + 2) + 1/B
1/27 = (B + B + 2) / (B (B + 2))
1/27 = (2B + 2) / (B² + 2B)
27 (2B + 2) = B² + 2B
54B + 54 = B² + 2B
0 = B² − 52B − 54
B = [ -(-52) ± √((-52)² − 4(1)(-54)) ] / 2(1)
B = (52 ± √2920) / 2
B ≈ 53.0
It would take Company B approximately 53 hours.
Answer:
If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.
Hope this helps :D