Answer:
A i think
Step-by-step explanation:
Josiah's gross pay is %152.
<u>Step-by-step explanation:</u>
It is given that, Josiah expects a paycheck of $152 for working 20 hours during his first week at a grocery shop.
But, he receives only a check of $129.48
Now, it is asked to find which amount is his gross pay. To find the gross pay, one should known the meaning of the term "gross pay" in detail.
- Gross pay is defined as the amount of money the employees receive without any deductions on taxes.
- Net pay is known as the amount of money the employees take home after all deductions is carried out from the gross pay.
Therefore, in this case, the amount Josiah expects to received without any tax deductions is $152. This is his gross pay.
Josiah was given a paycheck of $129.48 to take home after all the deductions have been done from the gross pay of $152. Thus, it can be concluded that Josiah's gross pay is %152.
We know that the x-ordinate of the vertex is x = 4, because the x-ordinate of the vertex will not change.
Now, the definition of a parabola in locus terms is that for any fixed point that lies on the parabolic shape, it is equidistant from the directrix to the fixed point and the focus to the fixed point.
Thus, we can deduce that:
PS = PD, where P(x, y) is a moving point that lies on the parabola.
Now, we know that the latus rectum will be -4a, because the directrix is higher than the y-ordinate of the focus. Thus, we can say that the vertex will be the midpoint of the two points y = 7 and y = 8, because that is the only place where the definition of a parabola works.
Hence, we can say that the vertex lies at (4, 7.5).
Thus, our general form becomes:
(x - 4)² = 4a(y - 7.5)
To find a, we can say: 7 = 7.5 + a and 8 = 7.5 - a
a = -0.5, because a is the factor in which we move to find the directrix and focus.
Thus, our equation becomes: (x - 4)² = -2(y - 7.5)
