Step-by-step explanation:
substitute the values
px=3x+1
=(3x+1)/x
=3x/x +1/x
=3+1/x
rx=2x²+5
p(r(x)) =(3+1/x(2x²+5))
=6x²+15+2x²/x+5/x
=3(2x²+5)+1/x(2x²+5)
=(2x²+5)(3+1/x)
Answer: 300x200
Step-by-step explanation: First of all...Your perimeter equals 2x+3y. X=length, y=width.
2x+3y=1200
3y=1200-2x
y=400-(2/3)x
y=400-(2/3)x
Your Area = xy=x(400-2x/3)=400x-2^2/3
dA/dx=400-4x/3=0
4x/3=400
4x=1200
x=300ft length
y=400-(2/3)(300)=200ft
I hope this helps you!
The triangular prism has a volume of
.. V = Bh = (1/2)*(4ft *8 ft)*(24 ft) = 384 ft^3
Answer:
Step-by-step explanation:
emily : 16 + 22x....with x being the number of days
Lily : 24 + 18x
16 + 22x = 24 + 18x
22x - 18x = 24 - 16
4x = 8
x = 8/4
x = 2 <==== they will be on the same page in 2 days
16 + 22x = 16 + 22(2) = 16 + 44 = 60
24 + 18x = 24 + 18(2) = 24 + 36 = 60
and they will both be on page 60 <===
The only that has the shape of the one below.
y = -4(x^3 + 7x^2+8x - 16)
Let x = 1
y = - 4(1 + 7 + 8 - 16)
y = 0
y = -4(x -1)(x^2 + 8x + 16)
y = -4(x - 1)(x + 4)^2