In order to solve this you need to factor the denominator.
x^2 +4x - 12
I see that 12 is a product of 6 and 2 and 4 and 3 and 1 and 12.
I pick the two products that, when added together, give me the 4x term.
Here it's 6 and two I just need to make one of them a negative.
now put them in this form:
(x + 6)(x-2)
In the fraction I see that there is an x-2 in the numerator. This can cancel out with the x-2 in the denominator. Now you have 1/x-6 but remember you can never have a zero in the denominator so x can't equal -6.
And you're done!
X=1
12(1)=6(1)+6
12=6+6
12=12 Check :)
12 is sq root of 144
Hope that helps
Answer:
3 seconds.
Step-by-step explanation:
Since we are figuring out when the water balloon will hit the ground, y will need to be equal to 0.
0 = - 16t² - 16t + 96
Now we simply factor the trinomial to find t.
0 = -16(t² - t - 6)
0 = (t - 3)(t + 2)
t - 3 = 0 ⇒ t = 3
t + 2 = 0 ⇒ t = -2
Since we are referring to time, we need to use the positive value. Therefore, the water balloon will take 3 seconds to hit the ground.
Answer:
Pepepopo check
Step-by-step explanation: