Decide if each line has a positive slope, negative slope, or neither. Line 2 3x + 4y = 12 Line 3 Through (2, 7) and (-1, 3) Line 1 Line 4 -5 f(x) = x - 4 3* Positive Negative Neither Line 1 Line 2 Line 3 Line 4
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![1. Decide if each line has a positive slope, negative slope, or neither.
Line 3
Through (2, 7) and (-1, 3)
Line 4
x = -5
Line 1
Line 2
3x + 4y = 12
2
f(x) = x - 4
= 3* -
Positive
Negative
Neither
Line 1
Line 2
Line 3
Line 4
|2. Decide if each function is linear or non-linear. Place the letter in the appropriate box.
A) f(x) = 5x+2 B) f(x) = 2* – 4_ c) f(x) = 3x²+5_ D) f(x) = 2/3x-1 E) f(x) = -7
Linear
Non-Linear
3. Find all the equations/descriptions that match the given equation. Answer yes or no for
each one.
y = 2x + 3
A) slope 2 and y-intercept (0, 3)
B) y - 3 = 2(x - 3)
C) Goes through (5, -1)
D) Goes through (-4, -5)
E) y + 3 = 2(x + 3)
4. Decide if each answer is true or false.
Mileage Distribution
a) City mileage has a larger range.
City Mileage
Highway Mileage
10
20
30
b) City mileage has a higher mode.
40
c) Highway Mileage is right skewed.
26
20
16
10
10
16
20
26
Percent
Percent
d) Highway mileage looks like there
might be an outlier.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac7273a6-8e0d-49de-9d9c-915ab715b084%2Ffd27f351-de01-4ad0-99ee-8f8396c3dce1%2Favj8eb_processed.jpeg&w=3840&q=75)
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