Web Results

Linear Systems

jwilson.coe.uga.edu/emt668/EMAT6680.Folders/Barron/unit/Lesson 5/5.html

Specifically, we graphed the two equations y = 2x + 5 and y = (-3/2)x + 2, and noted that ... So, if y = -3x + 7 and y = 2x - 8, setting the y-values equal to each other (the right ... Since we're finding the intersection of the two points, the y- values will also be .... 3(5y) + 7y = 4 and then solve for y. .... They do, as -3 - (-3...

Graphing Linear Equations - Developmental Math Topic Text

www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U13_L1_T2_text_final.html

Graph a linear equation using x- and y- intercepts. ... You can use a coordinate plane to plot points and to map various relationships, such as ... One way is to create a table of values for x and y, and then plot these ordered pairs on the coordinate plane. ... x values. 2x + 3. y values. 0. 2(0) + 3. 3. 1. 2(1) + 3. 5. 2. 2(2) + 3. 7...

Drawing the graph of a straight line - A complete course in algebra

www.themathpage.com/alg/equation-of-a-line-2.htm

How to find the x- and y-intercepts of the graph of a straight line. The equations of vertical and horizontal lines. ... Calculate the value of x when y = 0, that is, find the x-intercept of y = 2x + 10. Solution. ... a) When we have the equation of a straight line, how do we find the ... Find the intercepts by putting x -- then y -- eq...

Math Questions With Answers (2)

www.analyzemath.com/math_questions/math_questions_2_sol.html

... then f <sup>-1</sup>(x) = Solution y = Log(x) if and only if x = 10 <sup>y</sup>. Interchange x and y y = 10 <sup>x</sup>. Hence ... Hence their exponents has also to be equal 3x - 1 = 4. Solve for x x = 5/3 ... The roots of the equation x / (x + 2) + 3 / (x - 4) = (4x + 2) / (x <sup>2</sup> - 2x - 8) are .... If Pi < x < 3 Pi/2, then sin(x) can be expressed in terms of...

Section 4-5: Inverse Functions

home.windstream.net/okrebs/page45.html

The notation used to indicate an inverse function is: f <sup>-1</sup>(x) pronounced "f inverse" . ... Not all functions will have inverses that are also functions. ... line intersects the graph in more than one point, then f has an inverse function. ... 1) Find the equation of f <sup>-1</sup> and graph f, f <sup>-1</sup>, and y = x for f(x) = 2x - 5. ... 2) Le...

Math Questions With Answers - Solutions and Explanations

www.analyzemath.com/math_questions/math_questions_1_sol.html

If Log x (1 / 8) = - 3 / 2, then x is equal to ... If the graph of f is a parabola with vertex on x axis and opening up, then the range of f is given by the interval ... When a parabola represented by the equation y - 2x <sup>2</sup> = 8 x + 5 is translated 3 units ... sin(0) = 0 and cos(0) = 1, and from x = 0 to x = pi/2, sin(x) increases from 0 ...

Solutions to Implicit Differentiation Problems - UC Davis Mathematics

www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/implicitdiffsol2directory/ImplicitDiffSol2.html

2x + ( xy' + (1)y ) + 2 y y' = 0 , ... To find y'' , differentiate both sides of this equation, getting .... derivative y' does not exist, then the denominator in Equation 1 equals zero (Why?), i.e., ... If x=0 in the original equation (x<sup>2</sup>+y<sup>2</sup>)<sup>2</sup> = 2x<sup>2</sup>-2y<sup>2</sup> , then.

Systems of equations with substitution: y=-1/4x+ ... - Khan Academy

www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/solving-systems-by-substitution-1

Learn to sol the system of equations y = -1/4x + 100 and y = -1/4x + 120 using substitution. ... Systems of equations with substitution: -3x-4y=-2 & y=2x-5.

Systems of equations with substitution: y=-1/4x+ ... - Khan Academy

www.khanacademy.org/math/8th-engage-ny/engage-8th-module-4/8th-module-4-topic-d/v/solving-systems-by-substitution-1

Learn to sol the system of equations y = -1/4x + 100 and y = -1/4x + 120 using substitution. ... Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 · Systems ...

Solving Equations Algebraically

dl.uncw.edu/digilib/mathematics/algebra/mat111hb/izs/asolve/asolve.html

A quadratic equation is one of the form ax<sup>2</sup> + bx + c = 0, where a, b, and c are numbers, and ... Now we may apply the square root principle and then solve for x. ... The method of completing the square will always work, even if the solutions are ... Now use a graphing utility to graph y = 2x<sup>2</sup> + 6x - 5, and trace the graph to find  ...

More Info

Systems of Linear Equations

www.columbia.edu

By setting first x and then y equal to zero it is possible to find the y intercept on ... If x = 0, then f(0) = 1 + .5(0) = 1. If y = 0, then f(x) = 0 = 1 + .5x. -.5x = 1. x = -2 ... If y = 0, then f(x) = 0 = 11 - 2x. 2x = 11. x = 5.5. The resulting data points are (0,11) and (5.5,0) ... From the graph it can be seen that these equation...

Given f(x) - Developmental Math Topic Text

www.montereyinstitute.org

When you input values for x, you can determine a single output for y. ... Rather than using the variable y, the equations of functions can be written using function ... f(x)= 4x + 1 is written in function notation and is read “f of x equals 4x plus 1. ... C) f(x) = 3x<sup>2</sup> + 5 and y = 3x<sup>2</sup> + 5 .... Given f(x) = 3x<sup>2</sup> + 2x + 1, find f(0), f(2),...

Systems of Non-Linear Equations: Intermediate Systems - Purplemath

www.purplemath.com

As before, I'll set these equations equal, and solve for the values of x: ... Since the first equation is already solved for y, I will plug "–x – 3" in for "y" in the second equation, and solve ... y = (<sup>1</sup>/2)x – 5 = (<sup>1</sup>/2)(<sup>5</sup>/2) – 5 = <sup>5</sup>/4 – <sup>20</sup>/4 = – <sup>15</sup>/4 = –3.75 ... y = –x + 2. Then: xy = 1 x(–x + 2) = 1 –x<sup>2</sup> + 2x = ...