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when would the following conditional be false?

if you study for the test, then your grade will be higher than a 75.

a)you study for the test, and your grade is an 80.
b) you study for the test, and your grade is a 70.
c) you do not study for the test, and your grade is an 80/
d) you do not study for the test, and your grade is a 70.

In this exercise we have to analyze the given statement and the option that best fits that statement, so we can say:

A) TRUE

B) FALSE

C) FALSE

D) TRUE

A) Analyzing the first statement, we have it correct since it is said that if the student studies he will have a grade greater than 75.

B) In the second alternative we have that incorrect in that if the student will have a grade higher than 75.

C) the third statement is wrong, since if the student does not study he cannot achieve a grade above 80

D) The fourth statement is true, as only the case that the student is studying for the test is informed.

See more about condicional at link

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)