First, we must understand what standard form of a line is. Standard form of a line is written like such that A,B, and C are all integers, and A must be positive. First, we must calculate the slope of the line that passes through theses coordinates.
<span>As a refresher, this is the equation to figure out the slope of two coordinates.Now, we just simplify the numerator and denominator. <span> </span></span>
The next step is to utilize point-slope form, which is where is a point on the line. Of course, we already know that (7,-3) and (4,-8) both lie of the line. Therefore, plug in one fot he coordinates. Once converted into point-slope, we must then convert into standard form. This is what is demonstrated in the next step.
<span>Let's multiply all sides by 3 to get rid of the fraction early.Distribute the 5 to both terms in the parentheses.Subtract 9 from both sides.Subtract 5x on both sides.We aren't done yet! The coefficient of the x-term must be positive. Therefore, divide by -1 on both sides.<span>This is standard form now, so we are done!</span></span>
The answer is the third one.
The way I think through these problems is that where you multiply (-7x), you use addition, and where you use addition (-4), you multiply.
The answers added together will equal the second number, -7, and multiplied will give you the third, -4.
What you had chosen as the answer was close. But 7.53+-0.53 equals positive 7, not negative. However they do round to -4 when multiplied.
The correct answer, -7.53 and 0.53, do equal -7 when added together and equal -4 when multiplied.
If you multiply $60 by 0.15 you'll get 9 which is the taxes of the meal. Since he leaves the same percentage of tip, now we add 9+9 and get $18..
60+18=78
The inverse of this function would be f(x) = 
.
You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.
f(x) = 
- 6 ----> Switch f(x) and x
x = 
- 6 ----> Add 6 to both sides
x + 6 = -----> Take the logarithm of both sides in order to get the f(x) out of the exponent
Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2
= f(x) ----> And switch the order for formatting purposes.
f(x) =
And that would be your new inverse function.
