Which of the following statements is false? (5 points) a. the sum of two rational numbers is always rational. b. the sum of a rational number and an irrational number is always rational. c. the product of a nonzero rational number and an irrational number is always irrational. d. the product of two irrational numbers is either rational or irrational.

A: The sum of two rational numbers is always rational. I just took the test.

Step-by-step explanation:

Rational numbers are numbers that can be written as a fraction or ratio where irrational number cannot be written as a fraction or ratio.So the product or sum of two rational number is rational. Since your needed to find the false statement then the first one was the correct one.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?