Answer:
x = 2.36603 or 0.633975
Step-by-step explanation:
Here we want to solve the quadratic equation using the completing the square method.
2x^2-6x + 3 = 0
divide through by 2 first;
x^2 -3x + 3/2 = 0
x*2 -3x = -3/2
Half the x term will be -3/2 and squaring it is 9/4
we add this to both sides
x^2-3x/2 + 9/4 = -3/2 + 9/4
(x-3/2)^2 = 3/4
Finding square root of both sides
x-3/2 = √(3/4)
x = 3/2 ± √(3/4)
x = 3/2 + √(3/4) or x = 3/2-√(3/4)
which becomes
x = 2.36603 or 0.633975
There are 12 months in a year.
Divide 9 by 12 then multiply by 100 to get the percentage.
9/12 = 0.75 x 100 = 75%
Answer: 75%
Multiply 100 times 5 in your head to get 500,
100 * 5 = 500
90 * 5 = 450
8 * 5 = 40
Put those 3 together into one equation, \/
(100 * 5) + (90 * 5) + (8 * 5) = 990 OR (100 * 5) + (98 * 5) = 990
depends on how distributed the teacher wants it to be.
The matchup are:
- (1st picture): y=2x+3 and y=x+5
- (2nd picture): y=4x+2 and y =3x+2
- (3rd picture): y=2x+1 and y =x+2
- (4th picture): 3x and x+3
<h3>What does the graph of an equation shows?</h3>
The graph of the linear equation is known to be one that often brings or set the points that can be found on the coordinate plane and it is one that shows all the solutions to the equation.
Note that when all variables stands for real numbers, a person can be able to use graph to show the equation and this is often done through plotting the points to show a pattern and then link up the points to have all the points.
From the above, the pictures that have all the points as shown on the graph are:
- (1st picture): y=2x+3 and y=x+5
- (2nd picture): y=4x+2 and y =3x+2
- (3rd picture): y=2x+1 and y =x+2
- (4th picture): 3x and x+3
Learn more about equations from
brainly.com/question/2972832
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