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
... 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.
For example, y = 4x +1 is an equation that represents a function. ... 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. ...
A) y = 2x – 7 and f(x) = 7 – 2x ... The notation f(x) does not mean f multipli...
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 < ...
condition y(0) = 5 is added to the equation, then the solution y = ce2x does not ...
y = c1 cos 2x + c2 sin 2x is a solution of differential equation y// + 4y = 0 (it is a ....
both sides are polynomial functions which need to be equal for all values of x.
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...
Remember what the y-intercept is: it is the value y takes on when x = 0. .... How
do find the slope of 2x + 5y = -20 ... When you plug in a value for one variable you
can use the equation to solve .... b. y= -5/3x + 5 slope= -5/3 y-intercept=5 ... Then
find all the point on the graph and put the difference of y over the difference of x.
Quadratic equations can be solved by factoring and also by graphing. ... 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 of 12 fe...
x y. 0 2. 1 3. 2 4. 3 5 x y. There are many more points on the line, but we have
enough now to see a pattern. ... Then for every point on the line, the y co-ordinate
... x y. 0 0. 1 3. 2 6 x y y = 3x y = 2x y = x. If we calculate the gradient of the line y =
3x using the first ... All these lines have equations where y equals some numbe...
point, and then the equation of the normal to a curve at a point. ... where the
tangents are parallel to the line y = x + 5. ... These are the two points where the
gradients of the tangent are equal to 1, and so ... a) f(x)=3x2 − 2x + 4 at x = 0 and
3. .... From the graph we can see that the normal to the curve when x = 2 does