5x^2y is the greatest common factor
Answer:
Step-by-step explanation:
If you have written g(x) correctly then g(-5) = 3.40 - 8 = -4.6
If you meant to write g(x) = 3.40x - 8, then g(-5) = -25
3/4 divided by 1/8 would be 6 so Emma can fill 6 bags. Hope this helps and please mark brainliest!
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer:
$28.91
Step-by-step explanation:
The first step is to calculate the amount of the tip. You multiply the price (24.50) by the tip amount (18% or 0.18). The product is 4.41. Then, you add the tip to the bill. 24.50+4.41=28.91.
