You are given the information that he takes six lessons per week. First we will calculate the total lessons he could potentially take per year.
6 • 52 = 312
He could potentially take 312 lessons in one year.
Now that you know this information, you simply subtract the days he missed from that total.
312 - 5 = 307
Your final answer: Peter took 307 lessons during the year.
Answer:
D. g(x) = (x - 5)² + 3
Step-by-step explanation:
If a graph is translated horizontally, the value will affect x inside of the parentheses. For example, (x + #) or (x - #).
If a function is translated to the right, there will be a (-) sign. If a function is translated to the left, there will be a (+) sign.
This function needs to be translated 5 units to the right. Therefore, the equation will be: g(x) = (x - 5)² + 3
Set this up as a ratio putting inches on top and feet on bottom. Then your first ratio would be 1/25 since 1 inch is the same as 25 feet. In between them goes an equals sign and the the other ratio has an x on top (because inches is what we are looking for) and the 1500 on the bottom. Cross multiply to solve for x:
1(1500) = x(25). Divide both sides by 25 to get 60