Answer:
<u>The annual profit if the baker sells 400 pies would be US$ 12,800</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Annual profit in dollars from selling pies using p n( ) = 52n − 0.05n² , where n is the number of pies sold
Annual sales of the baker = 400 pies
2. Let's solve p for 400 pies
p n( ) = 52n − 0.05n²
p (n₄₀₀) = 52 * 400 − 0.05 * 400²
p (n₄₀₀) = 20,800 − 0.05 * 160,000
p (n₄₀₀) = 20,800 − 8,000
p (n₄₀₀) = 12,800
<u>The annual profit if the baker sells 400 pies would be US$ 12,800</u>
X=3 or X=0
It’s one of these
Answer:
The answer is 3.85
Step-by-step explanation:
you divide the decimal by the 2 and you'll get 3.85
Answer:
a) b = 8, c = 13
b) The equation of graph B is y = -x² + 3
Step-by-step explanation:
* Let us talk about the transformation
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then the new function g(x) = f(x + h)
In the given question
∵ y = x² - 3
∵ The graph is translated 4 units to the left
→ That means substitute x by x + 4 as 4th rule above
∴ y = (x + 4)² - 3
→ Solve the bracket to put it in the form of y = ax² + bx + c
∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)
∴ (x + 4)² = x² + 4x + 4x + 16
→ Add the like terms
∴ (x + 4)² = x² + 8x + 16
→ Substitute it in the y above
∴ y = x² + 8x + 16 - 3
→ Add the like terms
∴ y = x² + 8x + 13
∴ b = 8 and c = 13
a) b = 8, c = 13
∵ The graph A is reflected in the x-axis
→ That means y will change to -y as 1st rule above
∴ -y = (x² - 3)
→ Multiply both sides by -1 to make y positive
∴ y = -(x² - 3)
→ Multiply the bracket by the negative sign
∴ y = -x² + 3
b) The equation of graph B is y = -x² + 3
