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

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

What is the additive inverse of t ? *

Answers

Answer:

-t

Step-by-step explanation:

Additive inverse of t:

t*-1 = -t

-t would be the inverse!

The length of a desk is 3.5 feet. How many centimeters is the length? (There are 2.54 cm in an inch)

Answers

Answer:106.

Step-by-step explanation:

what are the steps to finding a midpoint with decimals?

Answers

The midpoint between two numbers is the number exactly in the middle of the two numbers. Calculating the midpoint is the same thing as calculating the average of two numbers. Therefore, you can calculate the midpoint between any two numbers by adding them together and dividing by two.

Find the slope of the line passing through each of the following pairs of points: (7, −3), (8, −7)

Answers

Answer:

m=-4

(the slope is negetive 4)

Step-by-step explanation:

Answer:

[tex]-4[/tex]

Step-by-step explanation:

Start with point-slope form:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify your values.

[tex]x_1=7\\x_2=8\\y_1=-3\\y_2=-7[/tex]

Substitute.

[tex]\frac{-7-(-3)}{8-7}[/tex]

The [tex]-3[/tex] becomes positive as it is being multiplied by a negative.

[tex]\frac{-7+3}{8-7}[/tex]

Combine like terms.

[tex]\frac{-4}{1}[/tex]

Rewrite.

[tex]-4[/tex]

When you look into a mirror, you see your reflection. Explain how this relates to reflections in
geometry.

Answers

Because you can see your reflection in a mirror. In geometry that's how shapes see themselves because there sides are the same.

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]