Answer:
x=6
Step-by-step explanation:
81^x = 27 ^(x+2)
81 = 3^4 and 27 =3^3 so replace 81 and 27 in the equation
3^4^x = 3^3^(x+2)
When we have a power to a power we can multiply the exponents
a ^b^c = a^(b*c)
3^(4x) = 3^(3*(x+2))
Since the bases are the same, the exponents have to be the same
a^b = a^c means b=c
4x = 3(x+2)
Now we can solve for x
Distribute
4x = 3x+6
Subtract 3x from each side
4x-3x = 3x-3x+6
x = 6
2x+4y=8
-2x -2x
4y=-2x+8
/4 /4 /4
y=-1/2x+2
Answer:
(a) 1.0625
(b) 6.25% percentage
Step-by-step explanation:
-
You would be right with 26 because the absolute value of -30 is 30 then you subtract 56-30 and get 26 which is the remaining temp you need to get to 56.
Answer:
When the ball hit the ground, the height of the ball will be zero. So using the value of h(x) as zero in the given equation, we can find the time in which the ball will hit the ground.
0 = -(x-2)^2 + 16
(x-2)^2 = 16
x-2 = 16
x-2 = 4
x = 6
This means the ball will hit the ground 6 seconds after Amir threw it.
Step-by-step explanation:
