Answer:
The two positive integers are 30 and 30
Step-by-step explanation:
Let
x------> the larger positive integer
y-----> the smaller positive integer
P----> the product o the two positive integers
we know that
-----> equation A
----> equation B
substitute equation A in equation B
This is the equation of a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex is the largest possible product
Using a graphing tool
The vertex is the point (30,900)
That means------> For 
The largest possible product is 
and
------> 
therefore
The two positive integers are 30 and 30
Answer:
In 180 days the three of them will do their laundry again on the same day.
Step-by-step explanation:
we need to find the least common factor or 9, 10 and 12:
LCM(9, 10, 12) = 180
Complementary angles add up to 90'
So let X= angle 1
Y=angle 2
So x+y=90
let x=y-78
so(y-78)+y=90
y-78+y=90
2y-78=90
2y=90+78
2y=168
y=168/2
y=84
x=y-78
so x=84-78
x=6
And 6+84=90
So the measure of the angle is 6 degrees.
Hope i helped!
Answer: x = -5, 3/2 y = 10, 7/2
Explanation:
y = 2x^2 + 6x - 10 (1)
y = - x + 5 (2)
=> 2x^2 + 6x - 10 = - x + 5
2x^2 - 7x - 15 = 0
(2x - 3)(x + 5) = 0
=> 2x - 3 = 0
2x = 3
x = 3/2
=> x + 5 = 0
x = -5
According to (2):
y = -x + 5
y = -(-5) + 5
y = 5 + 5 = 10
y = -x + 5
y = -(3/2) + 5
y = -(3/2) + 10/2
y = 7/2
