10x+3y+2=9x+8

Q: The number of public elementary and secondary school teachers​ (in millions) in a particular year…

A: Given query is to find that after how much time there will be 3.5 million teachers.

Q: Differentiate the function. y = (2x + 1)5/2(4x - 1)3/2

A: We have givenn function y=2x+1524x-132 We have to differentiate this function. Then,…

Q: Graph the functions in excercise

A: Given function is, y=8-x23.   The equation y=8-x23 is obtained by adding -8 to x in the graph of…

Q: s this a function or non function: (-4,3), (-2,1), (0,-1), (2,1), (4,3)

A: Given set of relation is  (-4,3),(-2,1),(0,-1),(2,1),(4,3)

Q: Graph the function. 15.fx) =½ (x-3)(x+1)(x)(x-1)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Suppose the function f(x) = 0.035x represents the number of U.S. dollars equivalent tox Russian…

A:

Q: Use function notation to represent $1700 more than a faculty member's salary after 6 years on the…

A: 1 The function notation to represent $1700 more than a faculty member's salary after 6 years on the…

Q: Differentiate the function.  y = (4x - 1)(3x + 1)4

A: Given: y = 4x-13x+14 To find: The derivative of the given function.

Q: What is the output of this function when the input is 5? 8- -2 -10 -4 -2 4 6. 8. 10 -2 -4 8.

A: We are given with a graph on the system for which we have to find the value of the output or the…

Q: 2 - 3x - f 2x-2,

A:

Q: Does the relation {(3, 6), (1, 3), (2, 5), (3, 8)} represent a function? Why or why not?

A: Given relation is 3,6,1,3,2,5,3,8. To determine whether the relation represent a function. Solution:…

Q: *+3 original function could be x + -3,3, 4? Explain why why not? or

A: We will find if any restriction in the domain of the rational function is needed.

Q: 17) write the equation of the translated function 2 -2 0. -2

A:

Q: If f(4)=2 then f-1 (2)=?

A: Given, f(4)=2-------(1) We have  f(a) = b => a=f-1(b) -------(2)

Q: Does the relation {(3,6),(1,3),(2,5),(3,8)} represent a function? Why or why not?

A: Given relation is 3,6,1,3,2,5,3,8. To determine whether given relation represent a function or not.…

Q: Find the derivitive of the function: y= 8x3-5x2-(x/12)

A: Given: The derivative of equation (1) is given by

Q: Differentiate each function sheet of paper. 1. y = (4x -- 10) A. 16(4x- 10)? B. 16(4x - 10)3

A: 1. Given function is  y=4x-104. To differentiate the function using chain rule. Solution: Chain rule…

Q: determine the domain and range of the function

A: Given,

Q: Differentiate the function. y = 127x - 4 A y = 7In(12)127x – 4 В y = (7x – 4)12(7x – 5) %3D

A: Given: y=127x-4 we know that ddxax=axlna                                            ..1

Q: how to graph the function f (x) (x-4)(x-3)²(x+4)² (x+2)(x+5)²(x-3)

A: Given f(x)=(x-4)(x-3)2(x+4)2(x+2)(x+5)2(x-3)

Q: Write the function equation: 10 8. 7. 5 4 3 1 -10 -9 -8 -7 -5 -3 -2 -1 3 4 6. 7 8 9 10 -1 -2 -3 -4…

A: Topic:- application fo function scaling and shifting

Q: Givn f(x)=2-5x..    f(10) = ____ f(-11) = ____ f(-14)=_____ f(9)=____

A:

Q: Differentiate the function. 2. 8x-1 y = 3 7x +9

A: We can differentiate the function as below

Q: Determine the domain and range of the function. 4 3+ -4 -3 -2 -1 2 4 -2+ -3- 3-

A: Range of function

Q: Differentiate the function: y=3x2 + x-7 - 5/11

A: Given  y=3x2 + x-7 - 5/11 Rearrange the given equation: y=3x2+1x7-511 Differentiate  y=3x2+1x7-511…

Q: Describe the end behavior of f(x) = 2/7x^5+6x^3-8.

A:

Q: Write the domain and range of the function using interval notation. (-3,x) domain range [-4,00) 10 8…

A: Consider the given graph.The domain of the given graph is (-3,∞) .Because the left side of the graph…

Q: Sketch the graph of:

A: Given: fx=-x2-6,x≤-4x+5,x>-4 For drawing graph of given function, we will use graphing calculator

Q: Write the domain of the function using interval notation. 4- -6 -5 -4 -3 -2 -11 1 2 3 4 5 6 -3 -4 -5…

A: Let  y=fx  be a given curve. Now domain of       y=fx is the set of values  of  x for which       fx…

Q: -4 -2 4 2. 2.

A:

Q: Find f-1(-6). -10 5 y 10 5 5 -10- 5 10 X

A:

Q: Find the piecewise function from graph. 4 3 -4 -3-2 -1 1 2 3 4 1+ 2+ 3

A: From the given graph the first piece is between -4≤x≤-1. That is a linear function ( a line) passing…

Q: how how to expand the function f (x) = 2x4 – 3² + x + 7 %3D

A: Given,                                     f(x) =2x4-3x2+x+7…

Q: Differentiate the functiony= (x^4+ 9)^8(√2x+x^2−17x+ 0.5)^100

A: Given,  y = x4+982x+x2-17x+0.5100   We have to differentiate the function.

Q: Consider the functions frx) 2- 6.

A:

Q: Evaluate f (3x3-1)(x²+2) *5

A: the given integral is: ∫3x3-1x2+2x5dx we have to evaluate the given integral.   let the given…

Q: 7) write the equation of the translated function 2 -2 -2

A:

Q: the

A:

Q: How do you use function notation to write an equation for the line that contains (4,2) and (-6,3) ?

A: Consider the given information  Line passing through points is (4,2) and (-6,3)Now the function of…

Q: how do I termine the range of the function 1/ -x^2 - 6x - 10

A: Range of the function

Q: f(x) 5 -6 -4 -2 4 6 -5 - 10 2)

A:

Q: How can I make a table that can be a function with a good real-life scenario like the example…

A: A relation is a function when corresponding to each input values, there must be exactly one output…

Q: find the domain of the function: {(-5,4) , (0,0) , (5,-4) , (10,-8) , (15,-12)}

A: {(-5,4),(0,0),(5,-4),(10,-8),(15,-12)}

Q: Write the domain and range of each function using interval notation. 3+ 2.5 -1.5 0.5 0.5 1.5 2.5 3.5…

A: We can find the domain and range as below.

Q: -x + 1, - 10 <x< -3 x² – 9, - 3 <x< 3 f (x) = 2x + 1, 3 < x < 5

A:

Q: Determine the domain and range of the function. 4- 3 2- 1 -4 -3 -2 -1 2 3 Part 1 of 2 -1 -2- -3- 4 4

A: Solve the following

Q: Differentiate the function. y=³√6-7x

A: Given : Function y=63-7x To Find : Derivative of the given function    From the given data, the…

Q: Differentiate the function  y = 8z^3 - 1/(3z^5) + z -23

A: y=8z3-13z5+z-23Formuladdxxn=nxn-1

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.