8. How many unit cubes would it take
1 answer:
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Using a linear function, it is found that the algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week is:
- A linear function is modeled by:
In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- He pays an amount per mile, plus a flat weekly fee.
- Researching the problem on the internet, it is found that the weekly fee for the small truck is of $340, hence
.
- For each mile, he pays $0.6, hence the slope is of
.
Then, the expression is:
To learn more about linear function, you can take a look at brainly.com/question/25823744
Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable in this polynomial is
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to .)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to . The discriminant of this polynomial is
.
.
Similarly:
.
By the Factor Theorem, if is a root of a polynomial, then
would be a factor of that polynomial. Note the minus sign between
and
.
- The root
corresponds to the factor
, which simplifies to
.
- The root
corresponds to the factor
, which simplifies to
.
Verify that indeed expands to the original polynomial:
.