<em>Answer:</em>
<em />
<em>A.) (3, 1), (9, –1), (7, –4), and (1, –2) </em>
<em>Step-by-step explanation:</em>
<em>(-1, 3) + 4 = (3, 3) - 2 = (3, -1)</em>
<em>(5, 1) + 4 = (9, 1) - 2 = (9, -1)</em>
<em>(3, –2) + 4 = (7, -2) - 2 = (7, -4)</em>
<em>(–3, 0) + 4 = (1, 0) - 2 = (1, –2)</em>
<u><em>A.) (3, 1), (9, –1), (7, –4), and (1, –2) </em></u>
Answer:
(3, 1), (9, -1), (7, -4), and (1, -2)
Step-by-step explanation:
(-1, 3), (5, 1), (3, –2), (–3, 0)
+4 +4 +4 +4
(3, 3), (9, 1), (7, -2), (1, 0)
-2 -2 -2 -2
(3, -1), (9, -1), (7, -4), (1, -2)
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r = 3 inches
The formula for the volume of a sphere is the following:
V = (4π/3)r^3
You know the volume so plug that in for V:
36π = (4π/3)r^3
27 = r^3 (multiply by 3/4π to get r^3 by itself)
r = 3 (you take the cube root of r and 27 to get the value of r)
Hope this helps :)
30 y
We need to multiply 5 by 4y and 5 by 2 y
20y + 10y = 30y
(a)Revenue=580x-10x²,
Marginal Revenue=580-20x
(b)Fixed Cost, =900
Marginal Cost,=300+50x
(c)Profit Function=280x-900-35x²
(d)x=4
The price, p = 580 − 10x where x is the number of cakes sold per day.
Total cost function,c = (30+5x)²
(a) Revenue Function
R(x)=x*p(x)=x(580 − 10x)
R(x)=580x-10x²
Marginal Revenue Function
This is the derivative of the revenue function.
If R(x)=580x-10x²,
R'(x)=580-20x
(b)Total cost function,c = (30+5x)²
c=(30+5x)(30+5x)
=900+300x+25x²
Therefore, Fixed Cost, =900
Marginal Cost Function
This is the derivative of the cost function.
If c(x)=900+300x+25x²
Marginal Cost, c'(x)=300+50x
(c)Profit Function
Profit, P(x)=R(x)-C(x)
=(580x-10x²)-(900+300x+25x²)
=580x-10x²-900-300x-25x²
P(x)=280x-900-35x²
(d)To maximize profit, we take the derivative of P(x) in (c) above and solve for its critical point.
Since P(x)=280x-900-35x²
P'(x)=280-70x
Equate the derivative to zero
280-70x=0
280=70x
x=4
The number of cakes that maximizes profit is 4.
1.5
picture
42 cups of flour
12 is 4 times more than 3 (3 × 4 = 12), so we know that we need 4 times 10 1/2 (equal to 10.5) cups of flour.
All we need to do for this is do 10.5 × 4 = x and solve for x.
10.5 × 4 = 42 cups of flour
