Answer:
x=5
y=30
x=15
Step-by-step explanation:
y=3x=15, then x=15/3, x=5
x=10, then y=3x=3*10=30
y=3x=45, then x=45/3, x=15
Check the picture below.
as you can see, the graph of the volume function comes from below goes up up up, reaches a U-turn then goes down down, U-turns again then back up to infinity.
the maximum is reached at the close up you see in the picture on the right-side.
Why we don't use a higher value from the graph since it's going to infinity?
well, "x" is constrained by the lengths of the box, specifically by the length of the smaller side, namely 5 - 2x, so whatever "x" is, it can't never zero out the smaller side, and that'd happen when x = 2.5, how so? well 5 - 2(2.5) = 0, so "x" whatever value is may be, must be less than 2.5, but more than 0, and within those constraints the maximum you see in the picture is obtained.
Answer:
Step-by-step explanation:
3x^2 * 2x^3= 6x^5
Multiply the 3 and 2 to get 6. Add the exponents.
(x,y)
(3.5,10.5) this is where they meet
Answer:
3.7feet
Step-by-step explanations
Using the sin rule
A/sin a = B/sin b
Let A = PQ = 8.5feet
B = QR = x feet
a = R = 90°
b = P = 26°
Substitute the values into the Sin rule
8.5/sin90 = x/sin26
8.5×sin 26 = x × sin 90
8.5×0.4383 = x× 1
3.7255 = x
Hence the length of QR to the nearest tenth 3.7feet