Tamara and Clyde got different answers when dividing 2/4 + 783 - 18x2 + 11x - 2 by 2x? - 3x + 1. Analyze their individual work. Tamara's work: • Clydo's work: Quotient x + 2x-5.5 +5x -2 2x - 3x + 12x + 7x? - 18x + 11x - 2 -12x - 3x + x2 2x 2x 10x 4x 4x - 17x + 11x - 3x 3x168 Bx -(4x'- 6x + 2x) 5x -11x + 9x - 2 - 11x16 5x -55) -3x + 10x = 7x -7 5x + 3.5 x' + (-15x) + (-4X) -18x 5x + 5x * 11x Tamara's • Clyde's 2x + 7% - 18% + 11x-2 -7.5x + 3.5 2x + 7x - 18x + 11x - 2 x! + 5x -5.5+ X + 5x - 2 2x - 3x + 1 2x - 3x + 1 2x - 3x + 1 Which statement about their answers is true Divisor​

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺