Answer:
4.5
Step-by-step explanation:
when the height is 0 the ball will hit the ground
so the equation is
-12t²+54t=0
12t²-54t=0
2t²-9t=0
t(2t-9)=0
t=0
t=4.5
so the answer is
4.5
Answer:
g(x)
because it is a quadratic equation it is mirrored the other one isn’t even a function
Answer:
$6.50
Step-by-step explanation:
SET UP A SYSTEM OF EQUATIONS WHERE SANDWHICHES IS REPRESENTED BY S AND DRINKS BY D:
6S+4D = 53
4S+6D=47
ADD THEM TOGETHER
10S+10D=100
SOLVE FOR D
10D = 100 - 10S
D = 10-S
SUBSTITUTE THAT VALUE INTO ONE OF THE ORIGINAL EQUATIONS
4S + 6(10-S) = 47
4S + 60 - 6S = 47
COMBINE LIKE TERMS
-2S + 60 = 47
SUBTRACT 60 FROM BOTH SIDES
-2S = -13
DIVIDE BY -2
S = 13/2
S = $6.50
Answer:
d. 6.99
Step-by-step explanation:
You have a right triangle with the right angle marked.
The hypotenuse is opposite the right angle and has no length given.
For the 25-deg angle, the side with length 15 is the adjacent leg, and the side with length x is the opposite leg.
The trigonometry ratio that relates the opposite leg to the adjacent leg is the tangent ratio.
Solve for x by multiplying both sides by 15.
Use a calculator to find the value of x.
Answer:
[5, oo)
Step-by-step explanation:
Add 6x+16 to both sides:
20 ≤ 4x
5 ≤ x . . . . . . divide by 4
The solution interval is [5, oo).
