Answer:
26 and 27
Step-by-step explanation:
Let the numbers be x and y
x + y = 53
xy = 702
x = 702/y
702/y + y = 53
Multiply through by y
702 + y^2 = 53y
y^2 - 53y + 702 = 0
y^2 - 27y - 26y + 702 = 0
y(y - 27) - 26(y - 27) = 0
(y - 27) (y - 26) = 0
y = 26 or 27
Solve for x in x + y = 53
if y = 26,
x = 53 - 26 = 27
if y = 27,
x = 53 - 27 = 26
The numbers are 26 and 27
so, that function is "defined", ok, what values of "x" are not in the domain, namely, what values can "x" take on and not make the function "undefined", well, you know, if we end up with a 0 at the denominator, like
then, we'd have an "undefined" expression...so... any values of "x" that make the denominator 0, are not really the ones we want, and thus they'd be excluded from the domain.
so, hmm which are those? let's check, let's set the denominator to 0, and solve for "x".
Answer:
3 30 page printers, 10 70 page printers
Step-by-step explanation:
x + y = 13
40x+70y = 820
Solving for y in first equation gives: y = 13 - x
Plug into second equation: 40x + 70(13 - x) = 820
40x + 910 - 70x = 820
-30 x = -90
x = 3
Plug into original equation: 3 + y = 13
y must = 10.
So, the company owns 3 thirty page presses, and 10 70 page presses,
Answer:
10 miles less
Step-by-step explanation:
To get the direct distance first, we use the pythagorean theorem. Distance from Ferris to Butte directly would be the hypotenuse. By solving for the hypotenuse, we have 25 miles. Now the distance used previously is 35 mile. Hence, it (35 - 25 = 10 ) miles less.
Answer:
6
Step-by-step explanation:
9 ^3 =3^m
(3^2) ^3 =3^m
3 ^(2×3)=3^m
3 ^6 =3 ^m
m =6
