Which shows the equation below written in standard form?
2 answers:
Answer:
Option D -
Step-by-step explanation:
Given : Expression
To find : Which shows the equation below written in standard form?
Solution :
Step 1 - Write the expression
Step 2 - Solve the square term
Step 3 - Place like term together
Therefore, Option D is correct.
The standard form of the equation is
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Here is your system of equations:
When solving a system, you can either substitute, or eliminate. I am going to substitute.
In the first equation, if y is equal to -4x + 10, I can substitute the y in the second equation with -4x + 10.
Here is your new equation:
Since you have variables on both sides, you have to cancel it on either side. In the equation on the right, the variable is -2x. To cancel it out, you have to do the opposite of it, which is +2x, or positive 2x. That means you have to add 2x to both equations.
Now you have one variable and two regular integers. You have to leave the variable x alone to find its value. Along with it is +10, or positive 10. To remove it, you have to do the opposite of it, which is -10 or subtract 10.
- Remember that when you subtract from a negative number, the number will increase but the sign will stay negative.
Now you need x to stay alone, so divide both sides by -2.
Remember:
NEGATIVES
- Negative(-) times(×) negative(-) = positive(+)
- Negative(-) times(×) positive(+) = negative(-)
- Negative(-) divided(÷) by positive(+) = negative(-)
- Negative(-) divided(÷) by negative(-) = positive(+)
POSITIVES
- Positive(+) times(×) positive(+) = positive(+)
- Positive(-) times(×) negative(-) = negative(-)
- Positive(+) divided(÷) by positive(+) = positive(+)
- Positive(+) divided(÷) by negative(-) = negative(-)
Now that you have the value of x, you can substitute it with the x in one of the equations.
Multiply -4 by 8:
Here is your new equation:
Add -22 and 10:
Your answer is the third choice: (8, -22)
<em>If you have any questions, feel free to ask in the comments! :)</em>
Answer:
x = 6
Step-by-step explanation:
The x-intercept of the equation is where the graph crosses the x-axis when y = 0. So, we simply plug in 0 for <em>y</em>:
2(0) - x = -6
0 - x = -6
-x = -6
x = 6
Alternatively, you can graph the equation into a graphing calc and analyze where the graph crosses the x-axis.
