Answer:
4x-12y=9
Step-by-step explanation:
y=1/3 x + 3/4
1/3 x-y=3/4
(x-3y)/3=3/4
4(x-3y)=3×3
4x-12y=9
To find the total number of combinations, multiply all the choices together:
3 eggs x 4 meats x 5 breads x 6 juices x 4 beverages:
3 x 4 x 5 x 6 x 4 = 1,440 different breakfasts
Answer:
Thus, the two root of the given quadratic equation 
is 5.24 and 0.76 .
Step-by-step explanation:
Consider, the given Quadratic equation,
This can be written as , 
We have to solve using quadratic formula,
For a given quadratic equation 
we can find roots using,
...........(1)
Where, 
is the discriminant.
Here, a = 1 , b = -6 , c = 4
Substitute in (1) , we get,
and 
We know 
(approx)
Substitute, we get,
(approx) and 
(approx)
(approx) and 
(approx)
Thus, the two root of the given quadratic equation is 5.24 and 0.76 .
The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.
Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.
Answer:
Step-by-step explanation:
