A line passes through the points (4,23) and (8,27). Write a linear function rule in terms of x and y for this line.

Q: The US Department of Health conducted a survey for the years 1985-2018 regarding the use of…

A: The by-product of a characteristic of a actual variable in arithmetic describes the sensitivity of…

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: What value of x makes the relation {(1,5), (x, 8), (-7,9)} a function?

A:

Q: Write a linear function f with f (-2) = 6 and f (0) = -4

A: Given,           f-2=6 and f0=-4

Q: Find a linear function with slope - 3 that contains the point ( - 1, 4). Graph the function.

A: Our Aim is to find a linear function with slope -3 that contains thepoint (-1,4).Since, for finding…

Q: Enter an eqvation_for the line of symmetry for the function flx)=4x²+[6X-9 %3D

A: The function is given by f(x) = 4x2+16x-9 To evaluate : Equation of the line of symmetry

Q: Which list of ordered pairs does not show a linear function? * {(2,15), (3,20), (4,25), (5.30)}…

A: We have to solve given problem:

Q: Prove the relationship

A: 1. Reason : Given data

Q: Find a function whose graph is the given curve. The line segment joining the points (-2, 1) and (4,…

A: The line segment joining the points -2, 1  &  4, -6.

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

A: Given points are  0,4  and 2,5 Linear function will be given in the form  y=mx+b where m is the…

Q: Determine the function ƒ represented by the graph of the line y = ƒ1x2 in the figure.

A: given: the graph of the function y=f(x). the given points are: (0,-1) and  (3,-3).

Q: If line p represents the function (x) = 3x- 5, line represents f(x). %3D

A:

Q: Approximate the function that represents the data (2, -2), (4,2), (5,3) by a cubic spline.

A: Solution:

Q: A linear function that represents the number of hot dogs purchased at a football game is compared to…

A: Well if y1= m1x + b1   y2 = m2 x + b2

Q: a young person should sleep 8 hours plus 1/4 hour for each year the person is under 18 years of age.…

A:

Q: The gradient of the line passing through the two points (7,4) and (-2, 5) is

A:

Q: Which set of ordered pairs (x, y) could represent a linear function? A = {(2,9), (4, 5), (6, 1), (7,…

A:

Q: State whether the variable is discrete or continuous. The number of goals scored in a soccer game

A: We have  Discrete variable : The variable which takes countable many values is called Discrete…

Q: The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2…

A: The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2…

Q: the piece wise linear function f(x) is shown to the right.

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Find an expression for the function whose graph is thegiven curve.   The line segment joining the…

A: y=±1y-intercept0,1 0,-1Equation of line joining x1 , y1an x2 , y2 is given byy-y1=y2-y1x2-x1  x-x1

Q: A new company gains 125 customers each year. Each year they also lose 42 customers. Write a linear…

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: Determine whether the function is linear , constant or neither  y = x3 - x2 + 8

A: Linear function- a function having degree 1 or 0                               Is known as linear…

Q: Find the equation of the linear function f that passesthrough the points (4, 1) and (8, - 5).

A: Our Aim is to find the equation of the linear function f that passes throughthe points (4,1) and…

Q: Find the gradient of the straight line joining A(-4,-1) B (4,2)

A: Given, The straight line joining the points  A(-4,-1)  and B(4,2) We have to find the gradient of…

Q: i. Find the equation of a power function through the points (2, ) and (, 8). y ii. Now, find the…

A:

Q: Graph the linear function:

A: Graph of f(x)=35x+1 x f(x) 0 1 1 1.6 2 2.2 -1 0.4

Q: Find the domain of the function. f(x) = 20x +3             x-7           (−∞, 7) ∪ (7, ∞)…

A: The first option is the correct option. Consider the function f (x) and the condition for the…

Q: What are the Functions of Several Variables?

A: Function of Several Variables: If we define a real valued function of n variables as y = f(x1, x2,…

Q: Write an equation for a linear function whose graph has the given characteristics passes through…

A: The equation of straight line passes through two point (x1,y1) and (x2,y2) is     y=x2-x1y2-y1x+b…

Q: Find the range of the function y = -4(x – 3)2 + 4. O (-∞, ∞) O (-∞, –4] O [3, ∞) O (-∞, 4) O [-4, ∞)…

A: Range of function :  The set of all values of the dependent variable for which a function is defined…

Q: A manufacturer of economy cars has determined that 46,000 cars per month can be sold at a price of…

A:

Q: Approximate the function that represents the data (2,-2), (4,2), (5,3) by a cubic spline.

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: - ∞ , - ∞)   B.( x | x ∈ R )   C.(- ∞, ∞)   D.( y | y ∈ R )

A: The function given is , y = 3x - 3. The domain of the function is defined as the set of values of x…

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

A:

Q: The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same…

A:

Q: Write and equation for a line perpendicular to f(x)= 5x - 1 and passing through the point (5,20)

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: Create a linear function over [-3,-1] that has an area of zero.

A:

Q: Which equation represents a linear function

A:

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

A:

Q: A linear function that represents the number of hot dogs purchased at a football game is compared to…

A: Given two linear function that represents the number of hot dogs purchased at a football game and…

Q: 2. 3. 1.

A:

Q: The relation between the cost of a diamond and its weight is linear. In looking at two diamonds, we…

A: Price of 0.7 carats = $3340 Price of 0.80carats = $4065 Weight is Independent variable. We want to…