Which choice shows a true conditional with the hypothesis and conclusion correctly identified? a) tomorrow is thursday if today is wednesday. hypothesis: today is wednesday. conclusion: tomorrow is thursday. b) if today is wednesday, then tomorrow is thursday. hypothesis: tomorrow is thursday. conclusion: today is wednesday. c) if today is wednesday, then tomorrow is thursday hypothesis: tomorrow is thursday. conclusion: today is not wednesday. d) tomorrow is friday if today is wednesday. hypothesis: today is wednesday. conclusion: tomorrow is friday.

The choice which shows a true conditional with the hypothesis and conclusion correctly identified is:

A) Tomorrow is Thursday if today is Wednesday.

              Hypothesis: Today is Wednesday.

             Conclusion: Tomorrow is Thursday.

We know that a conditional statement is given by:

        If  p  then  q

where p is the hypothesis and q is the conclusion.

i.e. hypothesis is  a statement which is considered as a starting point with the help of which we reach to a certain statement which is considered as a conclusion.

Now a conditional statement is true if both the hypotheses and the conclusion are true, if any one of them or both of them are false then the conditional statement is false.

A)

         Tomorrow is Thursday if today is Wednesday.

Hypothesis: Today is Wednesday. Conclusion: Tomorrow is Thursday

This is a a true conditional statement and the hypothesis and conclusion are correctly named.

B)

          If today is Wednesday, then tomorrow is Thursday.

Hypothesis: Tomorrow is Thursday. Conclusion: Today is Wednesday.

Here hypothesis and conclusion are incorrectly identified.

C)

           If today is Wednesday, then tomorrow is Thursday.

Hypothesis: Tomorrow is Thursday. Conclusion: Today is not Wednesday.  

Here also hypothesis and conclusion are incorrectly identified.

D)

                  Tomorrow is Friday if today is Wednesday.

Hypothesis: Today is Wednesday. Conclusion: Tomorrow is Friday.  

The hypothesis and conclusion are correctly identified but the statement is itself false.

because after Wednesday , the day which comes up is Thursday and not Friday.

This is a false conditional statement.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3