Remember
![(abc)^x=(a^x)(b^x)(c^x)](https://tex.z-dn.net/?f=%28abc%29%5Ex%3D%28a%5Ex%29%28b%5Ex%29%28c%5Ex%29)
and
![(x^m)(x^n)=x^{m+n}](https://tex.z-dn.net/?f=%28x%5Em%29%28x%5En%29%3Dx%5E%7Bm%2Bn%7D)
and
![(x^m)^n=x^{mn}](https://tex.z-dn.net/?f=%28x%5Em%29%5En%3Dx%5E%7Bmn%7D)
so
I'm going to assume that that x after the 2 exponent is multiply and not a variable to be multiplied, if it is go to option 2
![(5x^2y^3)^2(2x^3y^4)^3](https://tex.z-dn.net/?f=%285x%5E2y%5E3%29%5E2%282x%5E3y%5E4%29%5E3)
=
![(5^2)((x^2)^2)((y^3)^2)(2^3)((x^3)^3)((y^4)^3)](https://tex.z-dn.net/?f=%285%5E2%29%28%28x%5E2%29%5E2%29%28%28y%5E3%29%5E2%29%282%5E3%29%28%28x%5E3%29%5E3%29%28%28y%5E4%29%5E3%29)
=
![(25)(x^4)(y^6)(8)(x^9)(y^{12})](https://tex.z-dn.net/?f=%2825%29%28x%5E4%29%28y%5E6%29%288%29%28x%5E9%29%28y%5E%7B12%7D%29)
![200x^{13}y^{18}](https://tex.z-dn.net/?f=200x%5E%7B13%7Dy%5E%7B18%7D)
2. if that x was a variable and nod a multiply then
Answer:
we have 2 real solutions
Step-by-step explanation:
ax^2 + bx+c
discriminant
b^2-4ac
6x=-2x^2-3
subtract 6x from each side
0 = -2x^2 -6x-3
a= -2
b=-6
c=-3
b^2-4ac = (-6)^2 - 4(-2) (-3)
36 - 24
12
if > 0 2 real solutions
= 0 1 real solution
< 0 2 complex solution
since 12 > 0 we have 2 real solutions
Answer:
The answer is not in the options, it is 67.5
Step-by-step explanation:
135/2 = 67.5
You would divide 250 by 5 and get the result of 50.
50*5= 250
1. The solution for the equation is -16t² + 64t > 0
2. The interval notation for the equation is (0, 4)
Given,
The height of the building = 400 feet
A ball is thrown straight up from the top of the building.
The initial velocity of the ball = 64 feet/second
The height of the object is modeled by, s(t) = -16t² + 64t + 400
1. Solution for the equation:
s(t) > 400
So,
-16t² + 64t + 400 > 400
Add -400 to both sides
ie, -16t² + 64t + 400 - 400 > 400 - 400
We get,
-16t² + 64t > 0
2. Now find the interval notation for the equation:
-16t² + 64t > 0
Here, 64/16 = 4
So,
-16t (t - 4) > 0
Now,
t = 0 and t - 4 = 0
The interval notation for the equation is (0, 4)
Learn more about interval notation here:
brainly.com/question/28743524
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