For the linear function f(x)= mx+b, f(-6)= 20, and f(4) = - 10. Find m and b m =

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

A: The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . Gradient of line =…

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

A: Given

Q: Find an equation for the linear function which has f(0.5) = 0.8 and f(0.8) = -0.3

A: to find linear function which has f0.5=0.8 and f0.8=-0.3

Q: If f(x) = 25x + 15, find the slope of the secant line between the values of x1 - 7 and x2 = 6.

A:

Q: For the function f(x.y) = e 4xy, find f, and f,. f, =

A:

Q: If f(x) = 24x + 12, find the slope of the secant line between the values of æ1 = - 1 and æ2 2.

A: The slope of the secant line of f(x) between the values x1 and x2 is referred to as the average rate…

Q: For the function y = ax3 +bx2 +cx , there is a point of inflection at (1,-3) and the slope of the…

A: We find the second derivative using the power rule Given that, at x=1 there is a point of…

Q: If f(x) = 24x + 12, find the slope of the secant line between the values of x₁ = - 1 and ₂ = = 2.

A: Topic = Function

Q: If f(x) 10x + 4, find the slope of the secant line between the values of r1 5 and 12 -3.

A: Recall: Slope of the Secant Line through two points ,msec =f(b)-f(a)b-a or f(x2)-f(x1)x2-x1 or…

Q: Decide which of the two given functions is linear, and find its equation. -10 10 20 30 f(x) -1.5 1.5…

A: The table is, x -10 0 10 20 30 f(x) -1.5 0 1.5 3.5 4.5 g(x) -9 -4 1 6 11   The slope of…

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

A:

Q: The relationship between the air temperature T (in degrees Fahrenheit) and the altitude h (in feet…

A: Given the relationship between the air temperature T (in degrees Fahrenheit) and the altitude h (in…

Q: For the graph of the linear function f(x) = mx + b, m is the  _____ and b is the _______ .

A: For the graph of the linear function fx=mx+b, m is the  _____ and b is the _____.

Q: Find the linearization L) of the function at a. f(x) = {, 8 = 125

A:

Q: For the linear function f(x) = mx +b, f(- 6) = 19, and f(3) = 1. Find m and b. ..... m =

A:

Q: Answer the following 3 questions using the linear function y=-4x+3 If x = -11 then….. As x -> -∞ As…

A:

Q: 8. For the graph of the linear function H(z) = -4z + 3, the slope is %3D and the y-intercept is

A: Consider the given equation as Hz=-4z+3

Q: For the function f(x)=2x^{2}+4x-1f(x)=2x2+4x−1, find the slope of the secant line between x=-1x=−1…

A:

Q: Find a linear equation satisfying the condition, if possible. y = 101 Passes through (-1, 1) and (4,…

A: lines

Q: If f(x)=25x+25, find the slope of the secant line between the values of x1=4 and x2=10

A:

Q: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

A:

Q: For the function f(x,y,z) = 3 + xy5 - 5z4, find fx , fy , and fz.

A:

Q: . Write a rule for a linear function y = h(x), given that h(1) = 6 and h(-3) = 2.

A: Our Aim is to write a rule for a linear function y=h(x), given thath(1)=6 and h(-3)=2

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: Suppose f is a linear function such that f(3) = 9 and f(8) = 5.0. What is the slope m of f?

A: Given query is to find the slope of the function.

Q: For the linear function f(x) = mx + b, f(-5) = 18, and f(4) = 0. Find m and b. I found that m = -2…

A: m=-2 is right. So the equation becomes f(x) = -2x+b

Q: Decide which of the two given functions is linear and find its equation. 0 3 6 10 15 f(x) 35 57 84…

A: Solution : We know a linear function can be of the form, y=ax+b ,here a,b are constants. Now let us…

Q: Lisa is considering weight loss surgery, and after consulting a doctor, she was told that three…

A:

Q: Find the equation of the linear function, f, which is the perpendicular bisector of the line segment…

A:

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: Find an equation for the linear function g(z) which is perpendicular to the line 7z – 6y = 12 and…

A: Given the equation of a line 7x−6y=12

Q: A landscaping company charges $46 per cubic yard of mulch plus a delivery charge of $28. Find a…

A:

Q: It is given that the yearly cost of tuition and requires fees for attending a public four-year…

A: Given, Linear function of cost: f(x)=291.5x+2944.05 Slope of the function f(x) is f'(x)

Q: For the linear function f(x)= -2x-2. Describe the line slat

A: The given linear function is: fx=-2x-2

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

A:

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

A:

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: for y if y"= 8x – 3 and the slope i

A: Integration: y''=8x-3Integrating both sides we get,y'=8x22-3x+cy'=4x2-3x+c

Q: When a bus pass from Albuquerque to Los Alamos is priced at p dollars, a bus company takes in a…

A: (a)

Q: Let f be the linear function  f(x) = −6x + 7. a) wha is The rate of change of f ? b)and what is The…

A: f(x) = −6x + 7 We need a) what is The rate of change of f(x)? b)what is The graph of f and slope and…

Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A: Need to find the line which is perpendicular to the given line and passes through the intersection…

Q: In the open interval (0, T1/2) , find the point where the slope of the curve is 4? y = 3x* – 8x +…

A:

Q: Decide which of the two given functions is linear and find its equation. 6. 10 15 f(x) 0 3 23 37 54…

A:

Q: Find the linear function with the following properties. f(−5)=−1 Slope of f=−4

A:

Q: Find constants cq and c2 such that the function y(x) cje + c2e° satisfies y(0) = 1, and y' (0) =…

A: The values of constants c1 and c2 of the giben general solution of differential equation satifying…

Q: f(x)=13x+8, find the slope of the secant line between  x1= -8 and  x2= -9

A: Solution: The objective is to find the slope of the secant line

Q: Find the equation of the linear function p that has p(4)=8 and that is parallel to h(u)=−3/10u+6.

A:

Q: Find the extreme value of the function f(x,y) x + y3 - 3x - 12y + 20.

A: To find extreme points of the function f(x,y) we put fx=0 and fy=0. Then we put the extreme points…