Answer:
9.2X + 13.4
Step-by-step explanation:
Combine like terms
Shifted up
For example: if f(x) = x^2 + 4, the parent function has a vertex at (0,0), but the +4 shifts the graph up 4 units on the y-axis so the vertex would be (0,4)
∛125x^21y^24
Split them up:
∛125 * ∛x^21 * ∛y^24
∛125 = 5
∛x^21 = x^7 21/3 = 7
∛y^24 = y^8 24/3 = 8
The simpler form of the radical expression: ∛25x^21y^24 is: <span>D. 5x^7y^8</span>
Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is 
h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P
Let the length be x and the width be y:
Area=x*y=600
thus
x=600/y
Perimeter=2(L+W)
100=2(x+y)
substituting the value of x we obtain:
100=2(600/y+y)
solving for y we shall have:
50=600/y+y
50y=600+y^2
thus
y^2-50y+600=0
solving the quadratic we obtain:
y=20 or y=30
thus the length=30 ft and the width=20 ft
