Antonio earns $5 an hour for raking leaves. He also has $35 in savings which equation shows the amount of money m Antonio will h
2 answers:
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Answer:
Sarah would take 35 minutes longer than Leo to type 5500 word essay
Step-by-step explanation:
Let us solve the question
∵ It took Leo 3 hours to type a 4125-word essay
→ The rate is the number of words divided by the time
∴ Leo's rate = 4125 ÷ 3 = 1375 words/hour
∵ Sarah typed her 3800-word essay in 3 hours and 10 minutes
→ Change the 10 min to the hour by divide it by 60
∵ 3 hours 10 min = 3 + = 3 +
= 3
hours
∴ Sarah's rate = 3800 ÷ 3 = 1200 words/hour
∵ Leo will type a 5500-word essay
→ Divide it by his rate to find the time taken
∴ Leo takes = 5500 ÷ 1375 = 4 hours
∵ Sarah will type a 5500-word essay
→ Divide it by her rate to find the time taken
∴ Sarah takes = 5500 ÷ 1200 = 4 hours
→ Find the difference between their times
∵ The difference = 4 - 4 =
hour
→ Multiply it by 60 to change to minutes
∴ The difference = × 60 = 35 minutes
∴ Sarah would take 35 minutes longer than Leo to type 5500 word essay
You can solve this in two ways.
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>