again, bearing in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
![\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-(-2)}{6-3}\implies \cfrac{2+2}{6-3}\implies \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-2)=\cfrac{4}{3}(x-3)\implies y+2=\cfrac{4}{3}x-4 \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B3%7D~%2C~%5Cstackrel%7By_1%7D%7B-2%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B6%7D~%2C~%5Cstackrel%7By_2%7D%7B2%7D%29%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20m%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B2-%28-2%29%7D%7B6-3%7D%5Cimplies%20%5Ccfrac%7B2%2B2%7D%7B6-3%7D%5Cimplies%20%5Ccfrac%7B4%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%28-2%29%3D%5Ccfrac%7B4%7D%7B3%7D%28x-3%29%5Cimplies%20y%2B2%3D%5Ccfrac%7B4%7D%7B3%7Dx-4%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)

A function assigns values. The inequality one-half x minus 10 greater-than-or-equal-to 0 should be satisfied.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The domain of a function is a set of values for which the equation is satisfied. Since the function has under root values, the value which is under the root should be non-negative so that it does not give a complex number, therefore,
The inequality
satisfied to find the domain of the function f(x).
Also, we can write that 0.5x²-10≥0 for the value to be positive.
Hence, the inequality one-half x minus 10 greater-than-or-equal-to 0 should be satisfied.
Learn more about Function:
brainly.com/question/5245372
The perimeter of a triangle is the sum of its sides. So, we have

We have an exact value for the perimeter, and variable expressions for the sides. Let's substitute the formula above with what we're given:

If you divide both sides by 12, you have

So, the lengths of the sides are



Answer:
Step-by-step explanation:
First, we write the rental cost with each company:
Company A 
Company B 
Where m: miles travelled
Now, we need to find "number of miles in a day at which the rental costs for Company A and Company B are the same". This means Pa = Pb. Then:

Solving the equation for m by taking 0.2m and 60 on both sides:


Finally, dividing 0.5 on both sides:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

- slope
- y-intercept

19) and 20) you have in other your question.