By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.
<h3>What is quadratic equation ?</h3>
Any equation of the form
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .
Given work of Penelope is

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.
To learn more about quadratic equations visit : brainly.com/question/1214333
Answer:
The answer is 675.75
Step-by-step explanation:
159 × 4.25= 675.75
Answer:
A) allows the population effect on log earnings of being married to depend on gender
Step-by-step explanation:
The regression equation of a dependent variable based on two or more independent variables is of the form:

Here,
<em>Y</em> = dependent variable
and
= independent variables
= interaction term
= regression coefficients.
If there is a significant interaction effect present then this implies that the effect of one independent variable (
or
) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable (
or
) .
The provided regression equation is:

= dependent variable
and
= independent variables
In this case the interaction term is defined as follows:
The effect of being married on log earnings is dependent on different values of the variables
, i.e. the gender of the
person.
Thus, the correct option is (A).
Answer:
Step-by-step explanation:
- 1/a + 1/b =
- b / ab + a / ab =
- (b + a) / ab
The common denominator is ab
Correct choice is D