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Aleksandr-060686 [28]
2 years ago
14

The figure below shows the graph of f ', the derivative of the function f, on the closed interval from x = -2 to x = 6. The grap

h of the derivative has horizontal tangent lines at x = 2 and x = 4.
Find the x-value where f attains its absolute maximum value on the closed interval from x = -2 to x = 6.

Mathematics
1 answer:
wolverine [178]2 years ago
6 0

Answer:

x = -2

Step-by-step explanation:

From x = -2 to x = 5, f' is negative.  That means f is decreasing.

From x = 5 to x = 6, f' is positive.  That means f is increasing.

The negative area (between x = -2 and x = 5) is larger than the positive area area (between x = 5 and x = 6).  That means f decreases more than it increases.

So f is an absolute maximum at x = -2.

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The first-, second-, and third-year enrollment values for a technical school are shown in the table below.
VARVARA [1.3K]

Answer:

The solution to f(x) = t(x) is x = 2010

Option 3 is true.

Step-by-step explanation:

The first-year , second-year , and third-year enrollment values for a technical school are shown in the table below.

Year (x)      First Year f(x)      Second Year s(x)       Third Year t(x)

 2009              785                        756                           756

 2010               740                        785                           740

 2011                690                        710                            781

 2012               732                        732                            710

 2013                781                        755                            800

Now we will check each option.

Option 1: The solution to f(x) = s(x) is x = 2,009

In year 2009, f(x)=s(x)

But 785≠756

Thus, False

Option 2: The solution to f(x) = s(x) is x = 785

x represents year, but 785 it no year

Thus, False

Option 3: The solution to f(x) = t(x) is x = 2010

In year 2010, f(x)=t(x)=740

But 740=740

Thus, True

Option 4: The solution to f(x) = t(x) is x =740

x represents year, but 740 it no year

Thus, False

8 0
2 years ago
Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of
lisov135 [29]

Answer:

4 servings

Step-by-step explanation:

Yogurt in the container = 1 5/8 pounds

A serving = 3/8 pounds

how many servings of yogurt are in the container?

Servings in the yogurt container = total yogurt in the container / yogurt per servings

= 1 5/8 ÷ 3/8

= 13/8 × 8/3

= 13/3

= 4.33

To the nearest whole serving

= 4 servings

7 0
2 years ago
Grades 3, 4, and 5 have their annual field day together. Each grade level is given 16 gallons of water.
sineoko [7]

Answer:

Their will be enough water for each student to consume 2 cups of water.

Step-by-step explanation:

Grade 3, 4 and 5 have their annual field day together . Each grade level is given 16 gallons of water. This means the three grades have 16 × 3 = 48 gallons of water.

The total students involved is 350 student. The total student is the sum of the student in all three grades.

Since the water will be distributed to the students in cups let us convert gallons to cups.

1 gallons = 16 cups

48 gallons = ? cups

cross multiply

48 × 16 = 768 cups.

768 cups of water is available to be shared among the 350 students.

1 student is entitled to 2 cups of water.

350 students will consume 350 × 2 = 700 cups of water.

Therefore, their will be enough water for each student to consume 2 cups of water.

6 0
2 years ago
Add. ˉ8 + ˉ6 = ____
Nutka1998 [239]
The answer is D +14 because to negatives make a positive
3 0
2 years ago
Read 2 more answers
Lauren is running in a marathon to raise money for her favorite charity. The total distance of the marathon is 12.5 miles. So fa
kirill [66]
Hi! So when you are dividing or multiplying a decimal by 10, it becomes a lot easier than it looks. If you divide by 10, you move the decimal to the left one space. If you multiply the decimal by 10, you move the decimal to the right one space. Because you are diving 12.5 by 10, you move the decimal to the left one space, which then becomes 1.25. So, Lauren has run 1.25 miles. If you want to double check, you can multiply 1.25 by 10, which comes out to 12.5. Your answer is 1.25! Hope this helps!!
3 0
2 years ago
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