ANSWER: (5,2)
according to the graph, the vertices of the
curve are 5 in abscissa and 2 in ordinate
hence the vertex (5,2)
Numbers are x and y
x is 5 more than y
x=5+y
product is -3
xy=-3
solve
sub 5+y for x since x=5+y
(5+y)y=-3
5y+y^2=-3
add 3 to both sides
y^2+5y+3=0
use quadratic formula where
ay^2+by+c=0
y=
a=1
b=5
c=3
y=
y=
y=
y=
or
the second number is 5 more or 10/2 more
add 10/2 to each
x=
or
the numbers are
and
or
and
aprox
the numbers are
-0.697224 and 5.967224 or
-4.302775 and 0.697224
Answer:
There could be 0, 2, or 4 complex solutions
Step-by-step explanation:
The Fundamental Theorem of Algebra states that any polynomial with n degree will have n solutions So since the degree of the polynomial you provided has a degree of 4, that means there are 4 possible solutions. This question specifically asks for complex zeroes. Complex zeroes come in conjugate pairs, so that means if you have one complex zero, there is another complex zero which is it's conjugate. For this reason, there can only be an even number of complex zeroes. And since there's 4 possible solutions, There could be 0, 2, or 4 complex solutions
If you divide the ratio: 2 min= 6 gallons in half you get: 1 min = 3 gallons
Since we now know that the the aquarium drains at 3 gallons per minute. You can just multiply your X by 5.
y = Gallons
x = Minutes
5y = 15x