Change the dimensions to numbers of 0.5 inches: 3.5 is 7×0.5, 2.5 is 5, 1.5 is 3. The number of cubes needed is 7×5×3=105.
Answer:
Step-by-step explanation:
Let x represent the seating capacity
Number of seats = 40+x
Profit per seat = 10 - 0.20x
For maximum number of seats
P(x) = ( 40+x ) ( 10-0.20x )
P(x) = 400+10x-8x-0.2x^2
P(x) = 400+2x- 0.2x^2
Differentiating with respect to ( x )
= 2 - 0.4x
0.4x = 2
x = 2/0.4
x = 5
The seating capacity will be 40+5 = 45
For the maximum profits
40X10+ 9.9 + 9.8 + 9.7 + 9.6 + 9.5 + 9.4 + 9.3 + 9.2 + 9.1 + ... 1.0, 0.9, 0.8, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1
= 400 + an arithmetic series (first term = 0.1, common difference = 0.1, number of terms = 8+ 40 = 48 )
= 400 + (48/2)(2X0.1 + (48-1)X0.1)
= 400 + 24(0.2 + 4.7)
= 400 + 24(4.9)
= 400 + 117.6
= 517.6
= 517.6dollars
Answer:
Vertex is (-3,2)
Step-by-step explanation:
The vertex is either the absolute minimum or maximum of a function, depending on how the function opens.
In this case, since this absolute value function opens upward, the vertex is the absolute minimum of the function, which is found at (-3,2).
Therefore, the vertex of the absolute value graph is (-3,2).
Answer:
Range: [-9, -4]
General Formulas and Concepts:
<u>Math</u>
<u>Algebra I</u>
- Range is the set of y-values that are outputted by function f(x)
Step-by-step explanation:
According to the graph, the line's y-values span from -9 to -4. Since both are closed dot, they are inclusive in the range:
[-9, -4] or -9 ≤ y ≤ -4