Answer:
Step-by-step explanation:
Inverse variation is written as
which, in words, says "y varies inversely with x". If cavities varies inversely with time brushing, then
We are given the initial condition for which we need to solve for k:
c = 4 when t = 30:
so
k = 120.
Now we will use that value of k to solve the problem of how many cavities, c, would she have if she brushed her teeth 120 seconds, t, each night:
(the 120 on top is the k value and the 120 on the bottom is the number of seconds she brushed) to get
c = 1
Answer:
C. line b and line c
Step-by-step explanation:
cause yuh edge 2020, also its parallel lines so yes and uh same slope and different y-intercept yes
Answer:
2 dollars and 10 cents
Step-by-step explanation: 21 dimes divided by 10 is 2.1 so it will be 2 dollrs and 10 cents.
Answer + Explanation + Theory
When a number is divided by a number it results in a quotient and a remainder
E.g. 9 / 4 = 2 remainder 1
9 is the dividend
4 is the divisor
2 is the quotient
1 is the remainder
Same way when a polynomial is divided by a linear expression
E.g.
Ax^2 + bx + c / (x-b) = (x+a) + r
Which can be rearranged to
ax^2 + bx + c = (x+a)(x-b) + r
When x = - a or b, only the remainder is left since either (x+a)(x-b) is 0.
If x = - a or b is substituted into the polynomial and the value is 0 then there is no remainder,
This would suggest (x+a) or (x-b) are factors of the polynomial.
Now apply this logic to these questions
1. Let’s assume (x-4) is a factor, this would mean that when x=4 is substituted into the polynomial the answer would be 0.
This is the case, therefore the remainder is 0.
2. Having seen the logic above (applied using the remainder and factor theorem) the linear expression is a factor of the polynomial.
