Answer:
x = -3
Step-by-step explanation:
You have the following equation:
you first you distribution property in order to eliminate the parenthesis:
next, you subtract 12 in both sides of the equation:
Finally, you divide the equation by 6 and simplify:
hence, the solution to the equation is x = -3
Answer:
She will earn <u>$442.89</u> in one week after the changes.
And this is <u>more</u> than her previous weekly earnings.
Step-by-step explanation:
Given:
Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she worked 40 hours per week before the changes.
Now, to find money she will earn in one week after the changes.
Her wage was = $10.50.
She worked per week = 40 hours.
So, her salary before changes:
Thus, the salary per week before changes is $420.
Now, to get her salary after 14% hourly raise:
<u>Salary after hourly raise = $11.97 per hour.</u>
Then, to get the number of hours worked decreased by 7.5%:
<u>Number of hours per week after hours of worked decreased = 37 hours.</u>
Now, to get the salary after changes:
<em>Salary after hourly raise × number of hours per week after hours of worked decreased</em>
<u>Salary after changes in one week = $442.89.</u>
<u><em>As, the previous salary was $420 in one week. </em></u>
<u><em>And after changes this salary is $442.89 in one week which is more than previous. </em></u>
Therefore, she will earn $442.89 in one week after the changes.
And this is more than her previous weekly earnings.
Answer:
Step-by-step explanation:
The equation of a quadratic function is given as:
ax² + bx + c = 0
where a, b and c are the coefficient in the quadratic equation.
The axis of symmetry of the quadratic equation is given as:
To get the equation for a, we have to make a the subject of formula: