Answer:
12 
Step-by-step explanation:
The area of a triangle is 
. Here, b = 8, h = 3. So 8*3/2 = 12. The units is .
So the answer is 12 .
Answer: Substitution
Step-by-step explanation:
Because you know A is equal to B, you can substitute A for B in any mathematical equation. Essentially, you are switching mA $ mB.
Answer:
7.5
Step-by-step explanation:
40*2.5=100
3*2.5=7.5
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Answer:
-10
Step-by-step explanation:
You always want to solve the inner function first.
g(-2)=(-2)³+3
=-8+3
=-5
g(-2)=-5 so you can replace g(-2) with -5
Now you just have f(-5)
Solve.
f(-5)=-5-5
f(-5)=-10
For the answer to the question above,
1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4
2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57
3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65
4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.
5. V = (q -2x) (p - 2x) (x)
