Explanation:
Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.
Assume the quadratic equation to be 
where x is the variable.
Completing the square method is as follows:
- send the constant term to other side of equal
- divide the whole equation be coefficient of
, this will give 
- add
to both side of equality 
- Make one fraction on the right side and compress the expression on the left side
- rearrange the terms will give the vertex form of standard quadratic equation
Follow the above procedure will give the vertex form.
(NOTE : you must know that 
. Use this equation in transforming the equation from step 3 to step 4)
Answer: For the first part, her total savings would be $88, and for the second part, (let's pretend s = the total savings) the equation would be s = 40 + w x 6.
Step-by-step explanation: As for the first part, we would need to multiply her money per week times the amount of weeks she works. We can do this by simply multiplying the amount she makes (6) by the amount of weeks she works (8), resulting in 48, but we still have to add that number to the amount she already has, or 40, making $88 in total, as for the second part, this does a great job of explaining the reasoning behind that as well. Hope this answered your question!
Answer:
x > -4
Step-by-step explanation:
Inequalities like these are solved the same way equations are solved, except when multiplying both sides you flip the less than/greater than sign:
3x + 7 > -x -9
3x + 7 - 7 > -x -9 -7 Subtract 7 from both sides
3x > -x -16
3x + x > -x -16 + x add x to both sides
4x > -16
> 
divide both sides by 4
x > -4
In this case the inequality sign did not have to be flipped since we never multiply both sides by a negative number.
30 with the remainder of 714
