If s + 9 > 24, then you subtract 9 from both sides. You keep the inequality sign facing the same direction. So: s + 9 > 24 => s > 15.
If s + 9 > 24, then you subtract 9 from both sides. You keep the inequality sign facing the same direction. So: s + 9 > 24 => s > 15.
A slope is a measurement of a change in f(x) over the change in x. f(x+x) - f(x) = 32 tells you two things. First it tells you that the change in x is 4, which is pretty straight forward. The difference between x and x+4 is 4. Secondly, it tells you that the change in f(x) between x and...
You have to multiply the first term, -2x, by each of the terms within the parentheses. So it will look like this: -2x*3 - -2x*x, and then you clean it up to: -6x +2x^2 (That's x squared). Notice that the sign in the middle changed because you are subtracting a negative term, which is the...
The first step to answering this question is to find the slope of the first line. To do that, we need to put it in slope-intercept form. -7x - 4y = -4 => -4y = 7x - 4 => y = (-7/4)x + 1. So the slope of this line is -7/4. Perpendicular lines have a negative reciprocal...
Unfortunately, it is impossible to solve this equation. In general, you cannot solve an equation with more than one variable unless you can cancel out variables, leaving only one. In order to solve this, you would need a system of equations. Since there are 5 variables, you'd need at...
The best way to approach solving these problems is to look at the units. We are given 69mi and 45mi/h and we wand the number of hours it will take to get there. So, 69mi / (45mi/h) will give you 69/45 h or 1.533 h.