Jason just got tired for a new job and will make $80,000 in his first year. Jason was
2 answers:
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Answer:
Option C
Therefore, one of the factors of is
.
Step-by-step explanation:
Given:
the common factor from and
is 4.
therefore,
Now, use the formula for above expression:
here, and
Therefore, we have
Therefore, one of the factors of is
.
If you fit the vertex and the y-intercept into that form of the parabola, what you get is this:
and
and 16a=16. Solve that a to get that a = 1. Now you have your true parabola equation in vertex form, which is:
or just
Follow my work here to find the x-intercepts:
(x-4)(x-4)-1=y and
Simplifying by combining like terms gives you this parabola:
In order to find the x-intercepts, or the roots of the parabola as they are also known as, you have to set y equal to 0 (because the x-intercepts are found when y = 0, right?)
Factoring that gives you (x-5)(x-3)=0 and that x-5=0 and x-3=0. Solving each of those simple equations gives you x=5 and x=3 when y=0. So the roots, in the form you require them, are (5, 0) and (3, 0)
Follow my work here to find the x-intercepts:
(x-4)(x-4)-1=y and
Simplifying by combining like terms gives you this parabola:
In order to find the x-intercepts, or the roots of the parabola as they are also known as, you have to set y equal to 0 (because the x-intercepts are found when y = 0, right?)
Factoring that gives you (x-5)(x-3)=0 and that x-5=0 and x-3=0. Solving each of those simple equations gives you x=5 and x=3 when y=0. So the roots, in the form you require them, are (5, 0) and (3, 0)