Answer:
Step-by-step explanation:
Volume of the butter in the cardboard = 31.25 cubic inches
Length of the Molded Square Prism =5 Inches
Let the length of the square cross sectional area = x
Volume of the Prism
Since l=5 Inches

Next, we determine the surface area of the New Cardboard box to be made.
Length of the Cardboard Box=5 Inches
Length of the square cross sectional area = 2.5 Inches
Total Surface Area

Therefore,
of cardboard is needed,
Answer:
3
Step-by-step explanation:
The average rate of change is
f(x2) - f(x1)
-----------------
x2-x1
We want to find the change from 1 to 3
f(3) = 8
f(1) = 2
f(3) - f(1) 8-2 6
----------------- = ------------ = ---- = 3
3-1 2 2
Answer:
no real solution is the answer
If you have to list your extraneous solutions somewhere, that would be x=0.
Step-by-step explanation:
Cool thing here is the radical, the thing with the square root, is already isolate.
So we need to square both sides as a first step. (Whenever you raise both sides to even power, you must definitely check your solutions as some might not actually be solutions to the original equation)
So upon squaring both sides I get:
x^4+16=(x^2-4)^2
Now I will write (x^2-4)^2 as (x^2-4)(x^2-4) and foil it! This gives me:
x^4+16=x^4-8x^2+16
Subtract x^4 and 16 on both sides:
0=-8x^2
Divide both sides by -8
0=x^2
Therefore x=0.
0 isn't actually a solution though because when you plug it in you get 4=-4 which is not true.
Answer: 23%
Step-by-step explanation: 77 + 23 is 100
Try this solution:
D(f): √(2-x)≥0; ⇔ 2-x≥0; ⇔ x≤2 or x∈(-∞; 2].