The product of two rational numbers is always rational because (ac/bd) is the ratio of two integers, making it a rational number.
We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.
Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".
P = (a/b)×(c/d)
P = (a×c)/(b×d)
The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.
learn more about of rational numbers here
brainly.com/question/29407966
#SPJ4
Answer:
7/24
Step-by-step explanation:
Hope this helps
Answer:
The earnings will double
Step-by-step explanation:
Step one:
given data
we are told that the sales person's earnings is 4% of the sales made.
given that the sales made is $37,000 worth of furnaces.
Step two:
we want to find 4% of $37,000
=4/100*37000
=0.04*37000
=1480
hence for $37,000 the earning will be $1480.
Now suppose sales is doubled that is 37000*2= 74000
we want to find 4% of $74,000
=4/100*74000
=0.04*74000
=2960.
the earnings is $2960.
So if sales doubles the earnings will double
Answer:
∠MPQ ≅ ∠MPR: Reason; Corresponding parts of congruent triangles are congruent (CPCTC)
∠PQR ≅∠PRQ: Reason; CPCTC
Step-by-step explanation:
: Reason; Given
Draw 
so that M is the midpoint of 
: Reason; Two points determine a line
: Reason; Definition of midpoint
: Reason; Reflexive property
ΔPQM ≅ ΔPRM: Reason; Side Side Side (SSS) rule for triangle congruency
∠MPQ ≅ ∠MPR: Corresponding parts of congruent triangles are congruent CPCTC
∠PQR ≅∠PRQ: CPCTC
Answer:
f(x) = x(x-1)
Step-by-step explanation:
The easy way to do this is to look at it graphically. an inverse function is reflected across the line y=x. f(x)=x(x-1) is an upward opening parabola when reflected, there are two y-values for all positive values of x. A function can only have one y for every x.
