Answer:
x =5 ±sqrt( 31)
Step-by-step explanation:
x² + 10x = 6
b = 10
Take b/2 and square it
(10/2) = 5 5^2 = 25
Add 25 to each side
x² + 10x+25 = 6+25
The left side will be (x+b/2)^2
(x+5)^2 = 31
Take the square root of each side
sqrt((x+5)^2) = ±sqrt( 31)
x+5 = ±sqrt( 31)
Subtract 5 from each side
x+5-5 = -5 ±sqrt( 31)
x =5 ±sqrt( 31)
The number can be used to get rid of all fractions is 12
<h3>What number can be used to get rid of all fractions?</h3>
The equation is given as:
6 - 3/4x + 1/3 = 1/2x + 5
The denominator of the fractions are:
4, 3 and 2
The LCM of 4, 3 and 2 is 12
So, we have:
12 * [6 - 3/4x + 1/3] = 12 * [1/2x + 5]
Evaluate the products
72 - 9x + 12 = 6x + 60
Hence, the number can be used to get rid of all fractions is 12
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28,000x2=$56,000
56,000/56,000=1
The answer is 1 year.
The parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.
We have given a graph of a parabola.
From the graph:
The parabola opens down.
The sign of the second difference is positive.
The coordinates of the vertex is at (1, 3)
The equation of the axis of symmetry is x = 1
The optimal value of the parabola is at y = 3
The optimal value is considered a max value.
The x-intercepts is at (-1, 0) and (3, 0)
The y-intercept is at (0, 5/2)
Thus, the parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1
Learn more about the parabola here:
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