We check with each options
'Or' represents the intersection of two graphs
'And' represents two separate graphs'
We have two separate shaded part in the given graph
So we ignore the options that has 'and' in between
LEts check first and second option
Simplify the first part and second part
multiply both sides by 2 .
x < 2 or 4x - 2 > = 26
solve 4x-2 > = 26
add 2 on both sides and then divide both sides by 4
4x >= 28
x >= 7
So solution is x<2 or x>=7 . that is the graph on number line
Lets check with second option
3x-3<3 or 2x+8>=22
add 3 on both sides
3x < 6
divide both sides by 3
so x< 2
2x+8>=22
subtract 8 on both sides
2x >= 30
divide both sides by 2
x >= 15
x<2 or x>=15 that does not satisfies the graph
So option A is correct
Answer:
Squares and triangles are both polygons and right triangles and squares both have at least one right angle. They are different because squares have 4 sides and triangles have 3. Also, triangle have a total of 180 degrees while squares have a total of 360 degrees.
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The answer to your question would be -2
It’s arithmetic in the sequence
Answer:
Step-by-step explanation:
In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:
The steps are shown below:
For any equation of the form:
1. If the coefficient a is different from 1, then take a as a common factor.
In this case .
Then we go directly to step 2
2. Take the coefficient b that accompanies the variable x. In this case the coefficient is -3. Then, divide by 2 and the result squared it.
We have:
3. Add the term obtained in the previous step on both sides of equality:
4. Factor the resulting expression, and you will get:
Now solve the equation:
Note that the term is always > 0 therefore it can not be equal to
The equation has no solution in real numbers.
In the same way we can find the complex roots: