Cedric completed the square for the quadratic expression 5x2−40x+15 in order to determine the minimum value of the expression, as shown. Step 1: 5(x2−8x+3)
Step 2: 5(x2−8x+16−16+3)
Step 3: 5((x+4)2−16+3)
Step 4: 5((x+4)2−13)
Step 5: 5(x+4)2−65
What mistake, if any, did Cedric make?

a. He did not make a mistake.
b. In Step 1, he incorrectly factored out 5. He should have written 5(x2−8x−3).
c. In Step 5, he incorrectly distributed 5 from the parentheses. He should have written 5(x+4)2−13.
c. In Step 3, he incorrectly wrote the square as (x+4)2. He should have written x−42.
d. In Step 2, he incorrectly added 16 and −16. He should have written 5(x2−8x+64−64+3).

what is the graph

step-by-step explanation:

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

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 ☺