Find the constants m and b in the linear function f(x) = mx + b so that f(3) = 1 and the straight line represented by f has slope -9. m =   b =

Q: Crickets and Temperature Biologists have observed that thechirping rate of crickets of a certain…

A: Given :           A cricket produces 120 chirps per minute at 700 F and 168 chirps per minute at…

Q: The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and…

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Q: A.) Find the linear function that has the two points (-1,15) and (2,27) B.) What is the slope and Y…

A: Two Point Form of the Equation of a Line Let P1 (x1, y1) and P2 (x2, y2) be the two given points on…

Q: or the linear function ​f(x)=mx+​b, ​f(−3​)=24​, and ​f(2​)=−6. Find m and b.

A: We can find the value of m and b as below.

Q: One company buys a new bulldozer for $50500. The company depreciates the bulldozer linearly over its…

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Q: Suppose that notebooks may be bought in bulk. If you can avail the first 20 notebooks at P15 each,…

A: Given

Q: the average rate of change 5/-3  greater or less than the rate of change of the linear function…

A: To determine rate of change

Q: Suppose a certain outlet chain selling appliances has found that for one brand of home theater, the…

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Q: Determine whether there exists a constant c such that the line x + cy = 1: (a) has slope 4.     (b)…

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Q: Biologists have noticed that the chirping rate of crickets ofa certain species is related to…

A: a.) Let us start by assuming T is the temperature and N is the number of chirps per minute. Now a…

Q: Find the equation of the line whose gradient is 3/2 and which passes through the point ,where P…

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Q: the secant line between the values of x1=−1x1=-1 and x2

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Q: The gradient of the line  8y = 4 - 12 is

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Q: If f(x)=17x+11f(x)=17x+11, find the slope of the secant line between the values of x1=1x1=1 and…

A: Given fx=17x+11 x1=1,x2=-1

Q: number of automobiles in a certain small town was 1,445 in 2010, and it was 1,750 in 2015. If we…

A: Since time period starting from 2010, we can take t=0 at 2010. Number of automobiles in the town in…

Q: The U.S. Department of Health and Human Services provides a summary of the number and rate of…

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Q: A small appliance manufacturer finds that his production costs is $1500 per month plus $6 for each…

A: A small appliance manufacturer finds that his production costs is $1500 per month plus $6 for each…

Q: The graph of the linear function 5x + 6y - 30 = 0 is a line passing through the point (6, 0) with…

A: Equation of tangent line:y-y1=mx-x1Slope intercept  form:y=mx+b'm'  is slope'b'  is y-intercept

Q: Find the constants m and b in the linear function f(x) = mx + b so that f(4) = 4 and the straight…

A: Given: f(x) = mx + b, f(4) = 4, slope = -8

Q: Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,500…

A: It is given that the demand for farming studs is 2,500 when the price is $4.75 and the demand is…

Q: 1. The line passes through (3,2) and has a slope of -2. * A. 2x + y = 4 B. 2x - y = 4 C. 2x + y = -4…

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Q: If f(x)=10x+14f(x)=10x+14, find the slope of the secant line between the values of x1=0x1=0 and…

A: f(x)=10x+14 x1 = 0 x2 = -11   Slope of the secant line = ?

Q: 1.  Write the equation of a line perpendicular to y=3/8x-1 that passes through the point (6,0) A.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: At a unit price of $710, the quantity demanded of a certain commodity is 74 pounds. If the unit…

A: For the given condition, the demand decreases with the increase in unit price.At initial stage, unit…

Q: A linear model that approximates average life-expectancy is y = 0.29t + 65.36, where y is the…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Your friend incorrectly says that the linear function rule for the line through the points (0,0) and…

A: Equation of line in 2 dimensions

Q: 2) The average value of a certain type of automobile was $18,360 in 1995 and depreciated to $6320 in…

A: Given that, The average value of a certain type of automobile was $18,360 and depreciated to $6320.…

Q: Determine whether there exists a constant c such that the line ex - 2y = 4:  (a) Has slope 4…

A: a) We write the line in the y=mx+b form first  Given that slope=c/2=4  So, c=8  Answer(a): Yes, c=8…

Q: Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,300…

A: SOLUTION-

Q: find a linear function that models the relationship between the two variables and describe the slope…

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Q: The gradient of the line 4y =4 - 6x  is?

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Q: find an equation for the linear function with the given values.

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Q: Find the constants m and b in the linear function f(x) = mx + b so that f(9) = 6 and the straight…

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Q: An approximate linear model that gives the remaining distance, in miles, a plane must travel from…

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Q: The gradient of the line 2y =4 - 3x  is?

A: General form of equation of line is Y=mx+c m=slope=Gradient, C is the intercept on axis Now 2y=4-3x…

Q: Find the equation of the line which has a gradient of -2 and passes through the line (-1,8)

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Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

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Q: 2. Find x such that a straight line passing through two points (x + 1, −5) and (3, x) has slope 5x+3…

A: Use slope formula

Q: Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,300…

A: Since the demand function is linear, it will be of the form y=mx+c⇒D(q)=mq+c where D(q) is the…

Q: Suppose that a car’s worth depreciates at a constant rate.  You bought the car in 2002 for $18,000…

A: Bought the car in 2002 for $18000, after five years at 2007 price of the car becomes $12000.  Given…

Q: A business uses straight-line depreciation to determine the value y of an automobile over a 5-year…

A: NOTE: Refresh your page if you can't see any equations. . x= number of years  y= value of the…

Q: 1 Which equation represents a linear function? A 2xy + y = 9 ® y = 12VX - 5 © 3y + x + x = 0 © 4x +…

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Q: Hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute what is the initial value…

A: This question is related to linear function, we will solve it using given information.

Q: 1. Write the equation of a line perpendicular to y=3/8x-1 that passes through the point (6,0) A. y=…

A: 1.  Given that equation of line  y=38x-1    (1) general equation of line y=mx+c    where m=slope of…

Q: After 3 months of membership at a health club, a new member had paid a total of $240. After 7…

A: Given that after 3 months total cost is $240 . After 7 months total cost is $ 400. So if we take…

Q: how much would it cost to provide the program to 150 women

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Q: A car rental agency rents 220 cars per day at a rate of 28 dollars per day. For each 1 dollar…

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Q: A company is planning to manufacture snowboards The fixed costs are $400 per day and total costs are…

A: Given:

Q: A producer will not supply any items when the price is $535 or lower, but when the price per item is…

A: Given that - A producer will not supply any items when the price is $535 or lower, but when the…

Q: Your family likes to eat fruit, but because of budget constraints, you spend only $5 each week on…

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.