Answer: 110
Step-by-step explanation:
Given;
Total cost C = $151
Enrollment fee E = $30
Charge per 10 test t = $11
n is the number of packet of test taken.
The questions can be represented by the equation below;
30 + 11n = 151
Substracting 30 from both sides.
11n = 151-30 = 121
n = 121/11
n = 11
Since the number of packet of test is 11 and each packet contains 10 tests. The number of test N is given by;
N = 10 n = 10 ×11 = 110
N = 110
Basically the Remainder theorem states that the remainder of dividing a polynomial P(x) by (x - a) is given by P(a).
So for example if we divide x^ 2 - 2x + 7 by x - 2 the remainder will be
2^2 - 2(2) + 7 = 7..
If the remainder is 0 then the divisor will be a factor of the polynomial. This is the Factor Theorem and can be used to test if a given polynomial has a factor x-a.
Let's factorise it :
![\: {\qquad \dashrightarrow \sf {x}^{3} (x + 3) + [-5(x + 3)] }](https://tex.z-dn.net/?f=%5C%3A%20%7B%5Cqquad%20%20%5Cdashrightarrow%20%5Csf%20%20%20%20%7Bx%7D%5E%7B3%7D%20%28x%20%2B%203%29%20%2B%20%5B-5%28x%20%2B%203%29%5D%20%20%7D)
Using Distributive property we get :
⠀
Therefore,
You would just do 5.7-8.1, which is -3.6 degrees Celcius. Hope I helped!
