From the given information we can write the equation:
-16t^2 +96t + 4 = 112
-16t^2 + 96t + 4 - 112 = 0
-16t^2 + 96t - 108 = 0
simplify, change the signs, divide by -4
4t^2 - 24t + 27 = 0
You can use the qudratic formula but this will factor to
(2t-3)(2t-9) = 0
Two solutions
t = 3/2
t = 1.5 seconds at 112 ft on the way up
and
t = 9/2
t = 4.5 seconds at 112 ft on the way back down
Graphically, (green line is 112 ft)
I’m pretty sure it’s x>5 when add 4 to the other side and get 5 i’m just not sure about the sign
Answer:
B) Only (-3, 5)
Step-by-step explanation:
Slot in the options into the equation
(-2, 4),
Compare with (x, y)
x = -2, y =4
y =-3x - 4
4 =( -3 * -2 ) - 4
4 = 6 - 4
This is not true hence, option A is wrong
Using (-3, 5)
x = -3, y= 5
5 = (-3*-3) - 4
5 = 9 - 4
This is correct hence, option B is correct
Option c is wrong because (-2,4) is not a solution to the equation
Option D is wrong because option B is correct
Answer:
F (-8, -1)
Step-by-step explanation:
We can solve the system using substitution.
From the second equation
x-6y= -2
x= -2 + 6y
This value of x substitute into 1st equation
-4x+5y=27
-4(-2+6y)+5y=27
8-24y+5y =27
- 19y = 19
y= -1
x= -2 + 6y, y= - 1
x= -2 +6(-1)= -8
x= - 8
x= -8, y= -1
(-8, -1)
