You are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax.

Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.

Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.

x -3 0 3 6
f(x) -5 4 1 7
f'(x) -1 2 -2 4

The table above gives values of a twice-differentiable function f and its first derivative f' for selected values of x. Let g be the function defined by

g(x)= f(x^3-x )

Required:
What is the value of g (3)?

Answer:

17

Step-by-step explanation:

A school is purchasing new athletic uniforms for the basketball team. Each uniform costs the school $50.00. The school pays a $80.00 flat shipping fee. If the school spends $830.00 on the order, how many uniforms, did they purchase? a. Write the equation to solve the problem. b. Find the solution

Which expression is equivalent to 2(4f+2g)

Multiply the polynomial expressions.
-3x*(2x2 - 4x + 1)

Which statement is true?(n+4)-7=18

Marcella bought 3 packages of balloons and 4 packages of favors for $14.63.
Rupert bought 2 packages of balloons and 5 packages of favors for $16.03. Find
the price of a package of balloons.

Part B
After the first hour, Samuel and Allie agree they will continue to climb up the rock
face for another 1 hour. Allie continues to climb at the same rate. What rate must
Samuel climb in the last { hour to reach the same height as Allie?
Samuel needs to climb at a rate of
meters per hour in the last hour to reach
the same height as Allie.

please help my daughter with this

what is the time 5 ​

Plot the line for the equation on the graphy,−5=3/2(x−2)

Fred bought four bags of rice. Each bag contained StartFraction 2 Over 11 EndFraction kilogram. How much rice did Fred buy?

Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?​

Given f(x) = -x + 7, evaluate f(-2).

HELP!!!
A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons. Tank cars with three different carrying capacities are​ available: 7,000 ​gallons, 14,000 ​gallons, and 28,000 gallons. How many of each type of tank car should be​ leased?

HELP ASAP This is very hard

Xavier plays an online video game that allows him to control many different characters. Each character starts the game with 200 gold coins and receives 30 gold coins for each month that passes within the game. If Xavier controls 50 characters and the numbers of months passed within the game is represented by x which function can be used to determine the total number of gold coins that Xavier has collected in the game

Find the domain for f(x) = 2x + 9

help I have no clue what this is

Which statement is true about the graphs of the two lines y = x + 2 and y = x ?

What is the constant in the equation
7
x
+
5
=
y
?

Multiply. Write the answer in simplest form.
5/6 x 2/9

Every 1 inch of vertical rise, 12 inches ramp length is required. What is the ramp length required for the rise of 10.5?

What is 805 x 4 and What is 3,220 divided by 4?

which expression is equivalent to this polynomial expression? (2x2-3y2)(4x4+6x2y2+9y4)

A $55 pair of shoes was discounted 15% making a sale price $46.79 the discounted price was sent us Canada game by 10% explain how you would find the final price of the shoes?

What is the solution for tge equation
8x-12=4x?

4z-10=14 *
I can’t get the answer please help

Suppose you invested 2000 in a compound interest account earning 10% per month. How much would you have in your account at the end of 5 months?​

A plane took 1 hour and 10 minutes to fly from Riyadh to Jeddah.
The plane arrived in Jeddah at 23 05.
At what time did the plane depart from Riyadh?

what number is rational?

In the election for class president, John received 25 votes, and Luke received 10 votes. Express the relationship of John's votes to Luke's votes as a reduced ratio.