Answer:
The answer is D
Step-by-step explanation:
I took the test
#5. looks fine.
The roots are { +√(6) , -√(6) , -2, 2 }
#6. 12x³ + 26x² - 10x
factor out 2x
2x(6x² + 13x - 5) = 0
one root is zero
factor for other two roots, only 5×1 = 5
(3x-1)(2x+5)
3x - 1 = 0
3x = 1
x = 1/3
2x + 5 = 0
2x = -5
x = -5/2
roots are { 0, 1/3, -5/2 }
EDIT** forgot #7
#7. 125x³ + 8 = 0
125x³ = -8
x³ = -8/125
x = ∛(-8/125)
root of a fraction is the root of the numerator and denominator, negative can be on either numerator or denominator. overall fraction should be negative to subtract from the 8 to give zero.
∛(-8) = +/- 2
∛(125) = 5
root { -2/5 }
Answer:
randomly choosing a marble from a bag, replacing it, and choosing again
rolling a number cube, rolling again, and trying to match the first roll
Explanation:
In an independent event, getting a certain outcome once does not change the probability of getting the same outcome again.
The second option (about the coins) is NOT independent because if you pull out a dime on your first try, there are fewer dimes in your pocket and you are less likely to pull out a dime the second try. The third option (about drawing a number) is also NOT independent for the same reason: you don't put the number back into the hat after drawing it out, so there's fewer numbers the second time and the probability is different.
Yes, all fractions could be written in a repeating decimal.
Yes it is an imaginary number.
