Answer:
Step-by-step explanation:
For a:
ax = c - by
a = (c - by)/x
For x:
ax = c - by
x = (c - by)/a
For b:
by = c - ax
b = (c - ax)/y
For y:
by = c - ax
y = (c - ax)/b
If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.
Answer:
C
Step-by-step explanation:
Answer:
Y ≤ 3
Step-by-step explanation:
The Domain is the x values the function holds, while the range is the y values the function holds. This means that, looking at the graph, the range of the function is all y values less than or equal to 3, or Y ≤ 3.
Rectangle perimeter is 53 meters.
L = W + 2.3
To find the options of a perimeter, divide by 4.
= 13.25
So if this was a square, it would be 13.25 for both L and W but it's not.
Since the W has 2.3 meters more then the L, we do this.
13.25 + 2.3 = 15.55
13.25 - 2.3 = 10.95
Two of your sides equal 15.55, and the other two equal 10.95.
Hope this helps!
