Answer:
the value of the dimes
Step-by-step explanation:
Answer:
Solution to determine whether each of these sets is countable or uncountable
Step-by-step explanation:
If A is countable then there exists an injective mapping f : A → Z+ which, for any S ⊆ A gives an injective mapping g : S → Z+ thereby establishing that S is countable. The contrapositive of this is: if a set is not countable then any superset is not countable.
(a) The rational numbers are countable (done in class) and this is a subset of the rational. Hence this set is also countable.
(b) this set is not countable. For contradiction suppose the elements of this set in (0,1) are enumerable. As in the diagonalization argument done in class we construct a number, r, in (0,1) whose decimal representation has as its i th digit (after the decimal) a digit different from the i th digit (after the decimal) of the i th number in the enumeration. Note that r can be constructed so that it does not have a 0 in its representation. Further, by construction r is different from all the other numbers in the enumeration thus yielding a contradiction
B) because since the 40 cars averaged 49 mph it means that, that is the number that most cars have around the same speed of
Answer:
(3, 3)
Step-by-step explanation:
do you need to show your work or just the answer?
-3x+7y=12 mulitply both sides by 3 of the bottom.
x-2y=-3
-3x+7y=12
3x-6y=-9 < which turns into this
Then you have to sum the equations (vertically) to eliminate one variable.
y=3
Then substitute the given value of "y" into the equation
x-2 * 3=-3 then solve the equation for x (x=3)
y=3 x=3 (3, 3)
*Check your answers.
-3*3+7*3=12
3-2*3=-3
12=12
-3=-3
(-3, -3)
