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 ... So, if y = -3x + 7 and y = 2x - 8, setting the y-values equal to each other ( the right ... 3 = x. So, we found that x = 3. What does that mean? Well, since we are .... x = 5y in the second equation, then x must also equal 5y in the first equation.

Systems of Non-Linear Equations: Intermediate Systems - Purple Math

www.purplemath.com/modules/syseqgen4.htm

As before, I'll set these equations equal, and solve for the values of x: 2x<sup>2</sup> + 3x + ... 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. When x ... x + y = 2 y = –x + 2. Then: xy = 1 x(–x + 2) = 1 –x<sup>2</sup> + 2x = 1 –x<sup>2</sup> + 2x – 1 = 0 x<sup>2</sup> – 2x + 1 = 0

SOLUTION: .. PLEASE HELP ME SOLVE THIS EQUATION. x+y<8 ...

www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.159004.html

x>0,y>0 .... x+y<8 -x -x ______. Y<-x+8 2x+y<10 -2x -2x ______ y<-2x+10 ... for both equations to be equal with the same values of x and y in each, x must = 2 and y must = 6. .... then x + y < 8 becomes .5 + 8 which is not < 8 so it fails the test. ... since it passes the test for both equation, that value is goo...

Functions - Topics in precalculus - The Math Page

www.themathpage.com/aprecalc/functions.htm

if to each value of x the rule assigns one and only one value of y. ... There is one case however in which the domain must be restricted: A denominator may not be 0. ... And so when x = 5, then we say that the value of the function y = 2x + 3, is 13 . ... "f of x equals x<sup>2</sup> + 1 and g of x equals 5x. ... What does g do to its argument...

How to find x or y intercept - SAT Math - Varsity Tutors

www.varsitytutors.com/sat_math-help/how-to-find-x-or-y-intercept

(–48,0). Explanation: When the equation crosses the x-axis, y = 0. Plug 0 into the equation for y, ... Where does the graph of 2x + 3y = 15 cross the x-axis? ... The slope of a line is equal to -3/4. ... When the line crosses the y-axis, then x = 0 and y = 4. ... What is the x-intercept of a line with a slope of 5 and y-intercept of 3.5...

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" . This notation does not mean 1/f(x). ... is such that no horizontal 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) Let f...

Math Questions With Answers - Solutions and Explanations

www.analyzemath.com/math_questions/math_questions_1_sol.html

P 0 = 2,000,000 / e <sup>0.02*4</sup> = 1 846 000 (rounded to the nearest thousand) ... If the graph of f is a parabola with vertex on x axis and opening up, then the ... When a parabola represented by the equation y - 2x <sup>2</sup> = 8 x + 5 is translated 3 .... an electronic device produced by a company does not function properly is equal to 0.1.

Math Questions With Answers (2)

www.analyzemath.com/math_questions/math_questions_2_sol.html

Solution y = Log(x) if and only if x = 10 <sup>y</sup>. Interchange x and y y = 10 <sup>x</sup>. Hence f <sup>-1</sup>( x) = 10 ... equal to 2. 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 x is an angle such that tan(x) = 5/12 and Pi < x < ...

Math 2 Success - SAT Problems

www.math2success.net/problems/sat/

Problem: If (a-b)<sup>2</sup> = 16 and ab = 3, then what's the value of a<sup>2</sup> + b<sup>2</sup> ? Analyze: ... Problem: If x<sup>2</sup> – y<sup>2</sup> = 20 and xy = 5, then what's the value of y? Analyze: ... Problem: If the mean of x + 3, x – 7 and 2x – 3 is x – 20, then what's the value of x ? Analyze: ... If x = y<sup>a-1</sup> and y does not equal 0 then xy = Analyze ·...

Solving Factorable Quadratic Equations - RegentsPrep

www.regentsprep.org/regents/math/algebra/ae5/lfaceq.htm

If you can factor, you will be able to solve factorable quadratic equations. ... If the product of two factors equals 0, then either one or both of the factors must be 0.) 4 . ... Set each factor equal to 0 and solve for y. y + 4 = 0 y = -4. y - 4 = 0 y = 4 ... (x - 2)(x - 5) = 0 ... How long does it take for this ball to reach a height ...

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 the vertical ... If x = 0, then f(0) = 1 + .5(0) = 1. If y = 0, then f(x) = 0 = 1 + .5x. -.5x = 1. x = -2 .... y = 3. Step 3: Solve for x in either of the original equations. 2x + 3(3) = 5.

Given f(x) - Developmental Math Topic Text

www.montereyinstitute.org

For example, y = 4x +1 is an equation that represents a function. ... changes a number according to a specific rule, such as “multiply by 3 and add 2” or “divide by 5, add 25, and multiply by −1. ... f(x)= 4x + 1 is written in function notation and is read “f of x equals 4x plus 1. .... Given f(x) = 3x<sup>2</sup> + 2x + 1, find f(0), f(2), and f(...

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

www.themathpage.com

... 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.