College Or Computation Science Department Of Mathematics Worksheet for first year Pre-Natural Science students 1. Which of the following sentences are propositions? For those that are indicate the truth value. 123 is a prime number. b. O is an even number.» x² - 4 = 0. d. Multiply 5x + 2 by 3. For statements p q and r, use a truth table to show that each of the following pairs of statements logically equivalent. (p19) ep and pq. b. p(qVr) and (p Vr). (pvqr and ( pq)^( ar). d. p(qVr) and (-1) (p q). p(qVr) and (Grap) q. 3. For statements p, q, and r, show that the following compound statements are tautology. 2.​

step-by-step explanation:

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d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

y=1/4x-4

step-by-step explanation:

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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