Write a rule for a linear function y = h(x), given that h (-1) = 9 and h (-2)= -1. Write your anwer in simplest form.

Q: Use a linear function to approximate the value of the ∛400 with work.

A: The formula of linear approximation is f(a)+f'(a)(x-a)

Q: Find the slope and y-intercept of the linear function f(x) : should be an ordered pair or…

A:

Q: Suppose that f is a linear function with slope -3 and that f(2) = 6. Find the equation for f. (Use x…

A: Equation of a linear function: f(x)=mx+c ..............(1) where: m is the slope and c is the…

Q: Suppose that f is a linear function with slope -3.4 and that f(3) = 8. What value of x gives f(x) =…

A:

Q: A landscaping company charges $47 per cubic yard of mulch plus a delivery charge of $26. Find a…

A: For 1 cubic yard of mulch, the cost is $73. Therefore total cost for x cubic yards of mulch is given…

Q: sketch a graph of the linear function f(t)= 2t - 5

A: See the details solution in below

Q: Write a linear function that relates y to x: x -3 0 3 6 y 3 5 7 9

A: take any two points  lets take (x , y ) = (-3,3) and (0,5)

Q: Find the linearization of the function at the given point.

A: Given: f(x,y,z)=tan-1xyz Linearization of multivariable functions Recall the linearization of a…

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

A: Let,  C(x) is a linear function that models the cost of producing xchairs in one day. To find : The…

Q: Suppose that f is a linear function with slope 3 and that f(4) = 5. Find the equation for f. f(x) =…

A:

Q: What is the linear function for y=-3/4x+3

A: Let's find.

Q: Suppose f is a linear function such that f(4) = 8 and f(7) = 2. Find the equation for f.

A:

Q: Which equation represents a function that is not linear? 2 (3x + 5) O y 7x By = 3x + 52 3 (4 3x) y =…

A: which equation represent a function which is not linear

Q: write a linear function f with f (4) = -3 and f (0) = -2

A: Given: Write a linear function f with f(4)=-3 and f(0)=-2. Any linear function is of the form…

Q: Write the linear function f for which f(1) = 3 and f(4) = 0.

A: Write the linear function f for which f(1) = 3 and f(4) = 0.

Q: supply

A: Please refer to the image below

Q: (b) Make a linear model for the data. f(x) = %D

A: Consider the following data  x 3 3.2 3.4 3.6 f 6.0 5.6 5.2 4.8 To make a linear model of the…

Q: Is the function y = -4x + 2 linear or nonlinear? a Linear Nonlinear

A: To determine :- If y = -4x + 2 is linear or non-linear.

Q: A repair company charges a fixed amount plus an hourly rate for a service call. Suppose it charges…

A: To find the linear function that describes the price of a service call in terms of x, the number of…

Q: Interpret the Mean Value Theorem when it is applied to any linear function.

A: Interpret the Mean Value Theorem when it is applied to any linear function.

Q: Find the linear function f(x)=mx +b whose graph has given slope and y-intercept.  slope is 2/5 and…

A:

Q: Find the linear function with the following properties.

A: A linear function is in the form of y = f(x) = mx+c where m is slope and c is y-intercept.

Q: Find the linear function with the following properties. f(2) = 10 f(10) = -2

A: We have to find linear function for the given condition: f2=10f10=-2 Let linear function be fx=ax+b…

Q: Find the rate of change for (8,6) and (10, -2) in a linear model. M = (y2-y1)/ (x2-x1) =

A:

Q: Write a linear function that relates y to x . y 3 2 1. 2 3 4 5 x

A: we know that a straight line given by formula y-b=m(x-a) where m is slope of line

Q: Use the graph to write a linear function that relates y to x. 10 4 -6-4 2. 4 6 x 2 y = %3D

A: To find A linear function that relates y to x.

Q: The set of ordered pairs below represents a linear function. 3 10- (2-,11 3 If y = 20, what is the…

A: We have to find the value of x

Q: Use the table to write a linear function that relates y tox. -8 -4 4 y 1 -1 y =

A: To find the linear function that relates y to x, we use the definition of linear function.

Q: Use the graphs of piecewise- linear function y=f(x) and the linear function y=g(x) to answer the…

A:

Q: suppose f is a linear function with f (6)= 18.04.  If the slope of is 2.34, what is the value of f…

A:

Q: A college math placement test has 50 questions. The score is computed by awarding 4 points for each…

A: Given that a college math placement test has 50 questions. The score is computed by awarding 4…

Q: Which function is linear? B.

A: Graph of any linear function is a straight line. Here in the 1st, 3rdd and 4th options the graphs…

Q: In 2009 the number of vehicle sales in the United States was 10,602 and in 2013 it was 15,884.…

A:

Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1, ) (1.).) Oy= - 2 y= - +1 Oy=…

A:

Q: If f(x) is a linear function, f( – 5) = 4, and f(3) = – 2, find an equation for f(x). -

A: Given that ; f(x) is a linear function. When we draw a line then equation of line has two variables…

Q: Which equation represents a function of x that is not linear? A y = 4(x + 3) В y = 4? + 3x y = 4x +…

A:

Q: Consider the linear function y = ax + b. If x changes at a constant rate, does y change at a…

A:

Q: ii. Now, find the equation of a linear function through the points (2, ) and (, 8). 73 y =

A: Equation

Q: What is the constant to make the functions linearly dependent? 3t2 + 12t – 5 12 – 16t – 4t²

A:

Q: Write a LINEAR FUNCTION for the line that passes through (0,4) and (2,5) in the form %3D X+

A: Given points are (0, 4) and (2, 5).

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: Does the table below represent a linear function? Explain the space

A: We have given that, X=5,6,7,8 and f(x) =5,8,11,13 Thus, we have following co-ordinates points as…

Q: Is there a value for the empty cell that makes the table describe a linear function? Explain. x…

A: Consider the table: The standard linear function is given by the formulas, y=mx+b…

Q: Let f be a linear function. If f ( 2 ) = 13, and f ( 12 ) = 8, what is the value of f ( 10 ) ?

A: Given : f be a linear function. f2 = 13f12 = 8

Q: Write a linear function that relates y to x. x 0 1.5 3 4.5 y 5 4 3 2.

A: See the attachment

Q: Write an equation for the linear function using the given information. f(x) 5 -2 10 -6 15 -10

A: We use the information given in the table to obtain the linear function. The general form of linear…

Q: Suppose that f is a linear function with slope -2 and that f(3) = 8. Find the equation for f. (Use x…

A: A linear  function with slope m and y-intercept c is given as:…

Q: If f(x) is a linear function, f( – 4) = 2, and f(5) = 3, find an equation for f(x). f(x) -

A: Given f(x) is a linear function, f(-4)=2 and f(5)=3 we know that f(x)=mx+b is the general form of…

Q: In physics, the (absolute) pressure P in newtons per square meter at a point h meters below the…

A: Let the equation of pressure represent following equation  P = ah + b   .... (A)

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.