Answer:
figure it out
Step-by-step explanation:
yeeeeet
Answer:
Yes they are.
Step-by-step explanation:
Because both equal 6/9 I think
Answer:
f(g(3)) = 3
Step-by-step explanation:
We are told to solve for f(g(3)). This is also saying f of g of 3.
To find f(g(3)), we need to plug 3 in for x in g(x), since it says g(3).
g(x) = 3(3) - 4
Solve.
= 9 - 4
g(x) = 5
Now, we plug that into f(x), because g(x) was placed inside f and replaces the x variable of f(x).
f(5) = 2(5) - 7
Solve.
= 10 - 7
f(5) = 3.
f(g(3)) = 3
#teamtrees #WAP (Water And Plant)
No, as Anglel has 0.5 yards and Lynn has 0.75 yards
1) To make a rectangular box you need to cut squares from the four corners of the rectangular sheet.
2) Call x the length of the sides of the squares cut off.
3) The base of the box will have dimensions: (13 - 2x) and (8 - 2x)
4) The height of the box will be x
5) The volume of the box will be the area of the base times the height:
Volume = (13 - 2x)(8 -2x)x = (4x^2 - 42x + 104)x = 4x^3 - 42x^2 + 104x
6) The maximum volume is calculated by finding the point where the derivative of the volume is zero =>
d (volume) / dx = 12x^2 - 84x + 104 = 0
7) Solve the quadratic equation 12x^2 - 84x + 104 = 0
=> 4(3x^2 - 21x + 26) = 0
=> 3x^2 - 21x + 26 = 0
=> 3 (x^2 - 7x) + 26 = 0
=> 3 [(x - 7/2)^2 - (7/2)^2] + 26 = 0
=> 3 (x - 7/2)^2 - 3* 49/4 + 26 = 0
=> 3 (x - 7/2)^2 = 3*49/4 - 26
=> (x -7/2)^2 = (49/4 - 26/3)
=> x = 7/2 +/- √(49/4 - 26/3)
x = 7/2 + √3.583 and x = 7/2 - √3.583
x = 5.393 and x = 1.607
=> Volume =
1) 4(5.393)^3 - 42(5.393)^2 + 104(5.393) = -33.26 ---> it does not have physical meaning
2) 4(1.607)^3 - 42(1.607)^2 + 104(1.607) = 75.27 ---> this is the answer
Answer: 75.27 in^3
