Combination = doesn't matter what order
Permutation = order matters
There are <u>two</u> methods to work out combinations.
Method 1 List out possibilities
123 124 125 126 127 134 135 136 137 145 146 147 156 157 167
234 235 236 237 245 246 247 256 257 267
345 346 347 356 357 367
456 457 467
567
For a total of
35 combinations.
Method 2 Use a formula.
It's a rather complicated one, so only use it if you have a lot of possibilities.

(n is the number of choices, r is the amount you choose, and ! is a function that multiplies together all numbers down to 1)
Answer: y = -2|x| + 1
Step-by-step explanation: it is an absolute value function, y = |x|, moved up one. then we see that it has been flipped. it has also been vertically stretched by a factor of 2.
Answer:
The x-intercept is the location on the graph when the output is 0.
f(x) > 0 is intervals of the domain where the graph is above the x-axis.
y-intercept is the location on the graph when the input is 0.
f(x) < 0 is intervals of the domain where the graph is below the x-axis.
144 miles on 4.5 gallons
Solution: 144mi 4.5 32mi
------------ divided by = -------------
4.5gal 4.5 1 gal
Answer:

Step-by-step explanation:
<u>Slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept
f(x)= -2x +4
Let's rewrite this function into an equation, in the slope-intercept form.
y= -2x +4
Slope= -2
The product of the slopes of perpendicular lines is -1.
Let the slope of the perpendicular line be m.
m(-2)= -1
m= ½
y= ½x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -4, y= -1,
-1= ½(-4) +c
-1= -2 +c
c= -1 +2
c= 1
Thus, the equation of the line is y= ½x +1.