The function f(x)=mx+b is in slope-intercept form. Where m = slope and b = the y intercept. When you are given a point in the form (0, y), this is your y-intercept and y = b in the slope-intercept equation. So in this case f(x)=(-11/7)x-7.

First you'll want to see if each term in the polynomial has any common factors, in this case 63 and 7 both have a common factor of 7, since 63 = 9*7 and 7 = 1*7. So we factor out their greatest common factor, which in this case is 7: 63v2-7 = 7(9v2-1) Can we factor (9v2-1) any more?...

To solve for n variables, you will need to have n equations. Since you have two variables, x and z, you will need two equations to solve.

To solve for n variables, you will need to have n equations. Since you have two variables, x and y, you will need two equations to solve the system.

Since Jessie can weed a garden in 30 minutes, her rate is 1/j of the garden per minute, which equals 1/30th of the garden per minute. Norton's rate is 1/n of the garden per minute. Working together, their rate is: (1/j)+(1/n)=(1/20) of the garden per minute (1/30)+(1/n)=(1/20)...

To determine the "steepness" of a graph, you need to look at the absolute value of slope of the graph. All these equations are in slope-intercept form, y=mx+b, where m is the slope. So the slopes we have are 1/2, 10, 4, and -3/4. The absolute values of these slopes are 1/2, 10, 4,...

The only way it could be further simplified is if the terms in the numerator and the denominator all share any common factor, which in this case they do not. So no, it cannot be further simplified.

The answer I am posting was for a different trinomial question that was asked the other day. I just don't feel like writing out all the steps again since I tend to go in to a lot of detail :). But you can still solve your problem the same way if you just follow the steps that I wrote out, but instead...

The second piece of your function is going to be for when the kilowatts used is over 400, or when x > 400; since the first piece of your function was for x <= 400. As the problem stated, it costs 6.574 per kilowatt hour usage after 400. So if x is your total number of kilowatts used, then...

Since this is for Discrete Math, I'm assuming that what you are trying to do is prove this statement by the laws of logic. Let r be "The right angled triangle t has side lengths a and b, hypotunese c, with area c2/4." This is our sufficient part of the conditional...

When factoring trinomials that are in the form of ax2+bx+c=0 these are the steps you will need to take: 1. See if the coeffiecients a, b, and c all have any common factors that you can factor out. For example, the coeffiecients of 2x2+12x+6=0 all...