Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
Answer:
Step-by-step explanation:
booom
2,000
10,000 divided by 5 = 2,000
The inequality :y ≥ 2 x - 1We shall plug-in all the values:A ) - 3 ≥ 6 - 1- 3 ≥ 5 ⊥ ( not correct )
B ) - 5 ≥ 4 - 1- 5 ≥ 3 ⊥C ) - 5 ≥ 6 - 1- 5 ≥ 5 ⊥D ) 0 ≥ 0 - 10 ≥ - 1 T ( correct )E ) - 8 ≥ 10 - 1- 8 ≥ 9 ⊥F ) - 9 ≥ 10 - 1- 9 ≥ 9 ⊥Answer: D ) ( 0, 0 ).
Answer:
Step-by-step explanation:
We have been given the following expression;
-13/√x
In order to rationalize the denominator, we multiply the numerator and the denominator by √x;
