Misha’s group was asked to write an expression equivalent to 7 y squared z + 3 y z squared minus 3. When Mr. Chen checked their answers, he found only one to be correct. Who had the correct answer? Misha’s Group
Student
Equivalent Expression
Misha
4 y squared z minus 5 + 3 y z squared minus 3 y squared z + 2
Juan
9 y squared z minus 2 + 3 y z squared minus 2 y squared z + 1
Joe
7 y squared z + y z squared + 2 + 2 y z squared + 1
Helena
7 y squared z + 6 y z squared minus 5 minus 3 y z squared + 2

a. -0.3 > -0.33

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11