Answer:
Step-by-step explanation:
I'm fairly certain you have an error in your equation as the curve you suggests opens upward so has no maximum profit. Profit becomes positive on completion of the 7th unit. (curve crosses x axis at (6.056, 0))
I will GUESS that the equation should read
P(x) = - 2x² + 120x – 800
Maximum will occur when the derivative is zero (zero slope)
P(x) = -2x² + 120x – 800
P'(x) = -4x + 120
0 = -4x + 120
x = 30
P(30) = -2(30)² + 120(30) – 800
P(30) = $1000
X=2
So you solve for x by simplifying bath sides of the equation, then all you do is isolate the variables
Answer:
2
Step-by-step explanation:
If two shapes are similar, this means the ratio of similar sides to each other are the same.
So, in the green shape, the long side length is 5 mm. In the purple shape, the long side length is 10 mm in length. The ratio is therefore 5 to 10, which can be simplified to 1 to 2 (which is basically saying that the side lengths of the purple shape are double the length of the sides of the green shape).
Using the same 1 to 2 ratio, you know that the short side length on the green shape is 1. The short side length on the purple shape (j) must therefore be double, which is 2.
Answer:
<h2>C. 4cm, 6cm, 10cm</h2>
Step-by-step explanation:
Is a ≤ b < c are the side lengths of a right triangle, then
A. 6cm, 8cm, 10cm.
Substitute:
B. 12cm, 35cm, 37cm.
Substitute:
C. 4cm, 6cm, 10cm.
It's not the side lengths of a triangle, because 4 + 6 = 10.
Without looking at it, we will check equality
D. 10cm, 24cm, 26cm.
Substitute:
-1/3 + (-5/6) + (-7/3)
-(1/3 + 5/6) + (-7/3) : equivalent
-5/6 + (-1/3) + (-7/3) : equivalent
-1/3 - (5/6 - 7/3) : not equivalent
-1/3 + (-7/3) +(-5/6) : equivalent