Use the graph off to decide if the value of the indicated quantity exists. If it exists find it, if it does not exist explain why.

Q: How will you know if a function increases and decreases and how will you locate the maximum and…

A: Let y = f(x) be any function given

Q: Is time considered a discrete or continuous variable? I would think discrete, but it's a little…

A: A discrete variable can take only integer values (Whole numbers) while a continuous variable can…

Q: Find the interval notation:

A: Given that:

Q: Describe the absolute value function?

A: A function is a relation in which each and every element of the domain has a unique image in the…

Q: The value, V, of a Van Gogh painting increases with time according to the following relation, V =…

A: Solution :  Given that   V = 84000(1.173)t    where t is the number of years since 1947

Q: A plane begins its takeoff at 2:00 p.m. on a 2500-mile flight. After 5.5 hours, the plane arrives at…

A: Given  Initial time  t = 0 hr When time is 0 , distance S = 0  mile . Distance is 2500 mile  when  t…

Q: f(x) f'lx) %3D

A:

Q: The difference of two numbers is 22. Find the numbers so that their product is to be minimum.

A: Numbers

Q: g(0) -- y = 3

A:

Q: One positive number is 7 times the reciprocal of another. Find the numbers if their sum is a…

A: Let the numbers are x and y  x=7y Sum of the numbers(S) = x + y S = x + y S = 7y+ y Differentiate…

Q: A positive relationship exists when both variables increase or decrease at the same time. True or…

A: Answer - A positive relationship exists when both variables increase or decrease at the same time.

Q: The absolute value function increases on the interval ____________and decreases on ____________ .

A: The absolute value function increases on the interval  0, ∞ and decreases on -∞, 0 .

Q: suppose you have entered 43 mile biathalon that consists of a run and a bicycle race.  During your…

A:

Q: The graphs of f(x) = ∣x∣ + 6 and f(x) = ∣−x∣ + 6 are identical.Determine whether the statement is…

A:

Q: The graph below represents the total distance, in miles, traveled by a car traveling at a constant…

A: Given data: The first point on the given graph is (a, b)=(0, 0). The second point on the given graph…

Q: The graph to the right shows the profit, P(x), given by the red dashed line, 780- the revenue R(x),…

A: (a) From the graph it can be observed that red dashed line is passing through the points (0, -120)…

Q: Fernando is walking home from a friends house at a constant speed after seven minutes he is 3 miles…

A: After 7 minutes Fernando is 3 miles from home. After 27 minutes after leaving Fernando is 1.8 miles…

Q: A car rental agency rents 210 cars per day at a rate of $30 per day. For each $1 increase in rate, 5…

A: Topic- Application of derivatives

Q: What does it mean when a perimeter is 16 times the width or when something is X times the X?

A: There are 4 operations in mathematics which are addition, subtraction, multiplication and division.…

Q: A friend has a 83% average before the final exam for a course. That score includes everything but…

A:

Q: Some eyears ago it was estimated that the demand for steel approximately satisfied and total cost…

A: Given that  The price and total cost of function is given  To find the maximum profit occurs and…

Q: Define Absolute value.

A: Absolute value describes the distance of a number on the number line from 0 without considering…

Q: A car rental agency rents 480 cars per day at a rate of $20 per day. For each $1 increase in rate,…

A: Solution: Car rented =480 -10x rate =20+x

Q: A car rental agency rents 210 cars per day at a rate of $40 per day. For each $1 increase in rate, 5…

A: Solution:-Step:1      For each one dollar  increases, 5 fewer  car  are rented.   If 'x'  is added…

Q: Natan currently has 30 songs in his music collection. Every month, he adds 3 new songs.Write a…

A:

Q: . Look at the graph "Black small businesses hit twice as hard as white ones". Estimate the percent…

A: Based on the graph given we can estimate the percentage of white and black small business owners and…

Q: @ function examine the

A: Given that, the function is F(x)=xe1x-2. Note that, the function defined for all vales of x except…

Q: As the speed of car increase the stopping distance of the car increase or decrease

A: Stopping distance increase as speed of car increases if deacceleration keeps constant.

Q: A tunnelling machine drills 500 metres. Use your values from the table to estimate the cost of…

A:

Q: Victor has a goal of making $75 per week at his after-­school job. Last month he was within $6.50 of…

A: Let 'm' be the amount victor made last month. Goal of Victor=$75 per week Assuming 1 month=4 weeks.…

Q: During your trip to New York City (320 miles away), you drive at a constant rate of 60 mph. During…

A:

Q: Identify the domain interval when the object is decreasing in height about the ground.

A: Given,           An object is thrown into the air and its height at any given time is represented by…

Q: A car rental agency rents 190 cars per day at a rate of $30 per day. For each $1 increase in rate, 5…

A: Let rate be 'x' So,   Income = x190-5x-30=190x-5x2+150x=340x-5x2To maximize:f=340x-5x2

Q: It took a salmon 45 seconds to swim upstream to a certain spot. The salmon then turned around to…

A: To find speed of salmon

Q: Describe the (1) domain, (2) range, and (3) continuity of y = -(x+ 3)2 +5.

A:

Q: The maximum number of grams of fat that should be in a diet varies directly as a person's weight. A…

A:

Q: A furniture store sells 96 coffee tables per month at $1100 each. The owners estimate that for each…

A:

Q: What is the absolute value function?

A: The absolute value function are the function where the variable is within an absolute value operator…

Q: A company marks up the cost of all of items by 290%. If they want to have a sale, what is the…

A:

Q: A motorboat can maintain a constant speed of 37 miles per hour relative to the water. The boat makes…

A: Let the speed of the current is x. so the speed of the boat during the trip upstream will be 37-x.…

Q: A car rental agency rents 420 cars per day at a rate of $20 per day. For each $1 increase in rate,…

A:

Q: In planning a restaurant, it is estimated that a daily profit of $6 per seat will be made if the…

A: Let x be the number of seats that is beyond 50 seats, Then the daily profit per seat is decreased by…

Q: How many axes (or how many dimensions) are needed to graph the function z = ƒ(x, y)? Explain.

A: How many axes (or how many dimensions) are needed to graph the function z = ƒ(x, y)? Explain.

Q: There are twelve times as many football players on a football team as there are coaches. Write a…

A: Let c represent the number of coaches and p represent the number of players. Given there are 12…

Q: The graph show       ["", "", "", "", ""]  correlation.  When the world population increases, we…

A: The graph shows the relation between two variables and they are 'World population' and 'Atmospheric…

Q: A car rental agency rents 190 cars per day at a rate of $20 per day. For each $1 increase in rate, 5…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.