Why is the answer for letter b 9?

Answers

Answer 1

Answer:

Take a look at the 'proof' below

Step-by-step explanation:

The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).

Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.

For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.

Answer 2

Step-by-step explanation:

From x=0 to x=1, the function is above the x-axis, so the area is positive.

From x=1 to x=5, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.

From x=5 to x=9, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.

Since the area increases in each interval, the area is a maximum at x=9.

Related Questions

evaluate the expression when y=3
y²-7y-4

Answers

Answer:

-16

Step-by-step explanation:

3^2-7(3)-4

write the converse of the following statement

if it stops raining then I will go to the park

Answers

If it’s stops raining.

How do you define mathematics?

Answers

Answer:

The overall group of sciences that study numbers, shapes and their relationships. An example of math is arithmetic, the study of addition, subtraction, multiplication and division.

Help me please i dont know what to write

Answers

Answer:

Decomposers in a food web are organisms that break down dead or decaying organisms and turn them into simpler, inorganic materials, making nutrients available for primary producers. A rotten fruit is not completely wasted because it will go back into the dirt for a producer to use, and the food chain continues.

Hope this helps!

State whether the data described below are discrete or continuous, and explain why.
The number of car accidents on a given stretch of highway each year
Choose the correct answer below.
O A. The data are continuous because the data can take on any value in an interval.
OB. The data are discrete because the data can take on any value in an interval.
C. The data are continuous because the data can only take on specific values.
D. The data are discrete because the data can only take on specific values.

Answers

Answer: D. The data are discrete because the data can only take on specific values.

Step-by-step explanation:

Discrete data refers to data that has a specific value in a specific period and so can be counted as opposed to continuous data that cannot be counted as it goes on to infinity. An example of continuous data would be the height of students in a class. This is continuous because a person's height could be 1.02325845...... metres.

The number of car accidents on a particular stretch of highway can be counted and the data can only take on a specific value thereby making it discrete data.

In this exercise we have to use the knowledge of distance to understand which the best alternative corresponds to car accidents, in this way we find that:

Letter D. The data are discrete because the data can only take on specific values.

Discrete information in visible form refers to data that bear a distinguishing value fashionable a distinguishing period accordingly can be check in order as opposite to continuous information in visible form that cannot be deem as it continue to infinity.

An instance of constant data hopeful the height of person actively learning fashionable a class. This is constant cause a person's crest could be 1.02325845 metres.

The number of vehicle driven on streets accidents in contact a particular stretch of heavily traveled maybe have importance and the data can only oppose a particular financial worth by that making it discrete information in visible form.

See more about distance at brainly.com/question/989117

Please someone help! It’s not very complicated
Show how u got the answer!

Answers

Answer:

1891

Step-by-step explanation:

night 1: 4000 seats- 2950 seats= 1050 empty.

night 2: 4000 seats- 3159 seats= 841 empty.

1050+841= 1891 empty seats for the two nights.

Hope this helps! ;)

Answer:

total seats for two night= 4000*2=8000

seat occupied= 3159+2950= 6109

Total empty seat= 8000-6109=1891

Step-by-step explanation:

How many different letter permutations, of any length, can be made using the letters M O T T O (For instance, there are 3 possible permutations of length 1.)

Answers

Answer:

Step-by-step explanation:

Given that

2 O, 2 T and 1 M

Now based on this, the following ways are there

Three ways i.e. {M,T,O}

XX or XY

XX in 2C1 = two ways i.e. {OO or TT}

XY in 3C2 × 2! = six ways

XXY or XYZ

XXY in 2C1 × 2C1 × 3! ÷ 2! = twelve ways

XYZ in 3C3 × 3! = six ways

XXYY or XXYZ

XXYY = 4! ÷ (2! × 2!) = six ways

XXYZ in 2C1 × 4! ÷ 2! = twenty four ways

= 5! ÷ (2! ×2!)

= 120 ÷ 4

= 30

Therefore, the total is

= 3 + (2 +6)+ (12 +6) + (6 +24) + 30

= 89

There are 30 different letter permutations.

The word is given as:
MOTTO

From the given word, we have the following parameters:

[tex]n = 5[/tex] --- the number of characters in the word[tex]T = 2[/tex] --- the number of times letter T appears[tex]O = 2[/tex] --- the number of times letter O appears

The number of different (d) letter permutation is then calculated as:

[tex]d = \frac{n!}{T!O!}[/tex]

This gives

[tex]d = \frac{5!}{2!2!}[/tex]

Evaluate each factorial

[tex]d = \frac{120}{2 \times 2}[/tex]

Evaluate the product of 2 and 2

[tex]d = \frac{120}{4}[/tex]

Divide 120 by 4

[tex]d = 30[/tex]

Hence, there are 30 different letter permutations.

Answers

Answer:

85 + 86 = 171

Step-by-step explanation:

Just divide 171 by 2 = 85.5, so it pretty clear the rest is just logic.

(85.5 - 0.5) + (85.5 + 0.5) = 171

How many thousands are in 30 hundreds

Answers

Answer:

Step-by-step explanation:

30 hundreds = 30*100 which = 3000 and 3000/1000 = 3

Answer:

Step-by-step explanation:

30x100=3000 is the answer to solving your problem

For the function f(x) = 16x^3 - x, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 1. Complete the table. (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.) An accurate conjecture for the slope of the tangent line at x = 1 is (Round to the nearest integer as needed.)

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

Interval Slope of secant lines

[1,2] 113.000

[1, 1.5] 75.000

[1, 1.1 ] 51.960

[1, 1.01] 47.482

[1, 1.001] 47.048

Step-by-step explanation:

From the question we are told that

The function is [tex]f(x) = 16x^3 -x[/tex]

Now considering the intervals

For [1, 2]