Tai wrote 2 patterns. then she made the corresponding numbers into ordered pairs and graphed them below.

Pattern A start at 0 and uses the rule "Add 2"

Pattern B starts at 0 and uses the rule "Add 3"

Step-by-step explanation:

Given that Tai wrote 2 patterns  then she made the corresponding numbers into ordered pairs and graphed them below. We have to find the pattern before ordering.

Now, the x-axis coordinates are 0, 2, 4, 6, 8

The pattern is A starts at 0 and uses the rule Previous value+2 i.e uses the rule "Add 2"

Now, the y-axis coordinates are 0, 3, 6, 9, 12

The pattern is B starts at 0 and uses the rule Previous value+3 i.e uses the rule "Add 3"

add 2

Add 3

Step-by-step explanation:

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.