Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
Answer: D) At the next school assembly, choose one student from each of 20 randomly selected rows.
Step-by-step explanation:
A wouldnt be correct because it is all students from the spots program
B isnt correct because it is 10 girls and 10 boys from the girls' and boys' soccer teams
C wouldnt be correct because it would be the first 20 students she sees once she leaves statistics class
D is the only unbiased, completely random selection choice.
Answer:
u=-1
Step-by-step explanation:
Yes because if you divide 4 by 67 you get about 0.0597 and if you divide 5 by 777 then you get about 0.0064 and 0.0597 is greater than 0.0064