Answer:
81x^4
Step-by-step explanation:
With exponents, whatever is in the parentheses is multiplied by <u>itself</u> however many times the exponent says.
In this case, you would be solving 3 x 3 x 3 x 3 and (x)^4.
3^4 = 81 with x^4 gives you:
81x^4
Hope this helps you :)
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)
Answer:
Option C is correct.
Step-by-step explanation:
We are given the expression:

The value of a =5 and k = -2
Putting the values and solving

Option C is correct.
Answer:
x-intercepts: (2,0), (4,0)
y-intercepts: (0,-8)
Explanation:
To find the x intercept(s), you must compute where y=0. So solve 0= -x^2 + 6x - 8. So, the x intercepts are: (2,0) and (4,0) since the solutions to the mentioned equation are x=2 and x=4. To find the y intercept(s) compute what is y when x=0. In this case, when x=0, y=-8. So the only y intercept is (0,-8).
Answer:
9ab - 9a +1
Step-by-step explanation:
first, we can distribute the negative sign to the second set of parentheses.
-(-4ab + 5) becomes + 4ab - 5
now let's put the values in (5ab-9a-4) side by side with the corresponding values in + 4ab - 5
5ab + 4ab - 9a - 4 - 5
= 9ab - 9a - 9, because 5ab + 4ab = 9ab, -9a is alone, and -4 - 5 = -9.