Answer:
f(x) = 3x(x-1)(x-3)
Step-by-step explanation:
f(x) = 3x³-12x²+9x = 3x(x²-4x+3) =
= 3x(x²-x-3x+3) = 3x[x(x-1)-3(x-1)] =
= 3x[(x-1)(x-3)] = 3x(x-1)(x-3)
Using linear function concepts, it is found that:
a) The initial value is of 3 and the rate of change is of 20.
b) The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.
<h3>What is a linear function?</h3>
A linear function is modeled by:

In which:
- m 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, and also can be considered as the initial value.
In this problem, the function that gives the charge C for renting a bicycle for h hours is:

Item a:
Comparing to the standard function, we have that:
- The initial value is of 3 and the rate of change is of 20.
Item b:
The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.
You can learn more about linear function concepts at brainly.com/question/24808124
Answer: $700
Step-by-step explanation:
The store is selling at 30% off.
If a mattress is $1,000, first find out what 30% of $1,000 is:
= 1,000 * 30%
= $300
The store is selling 30% off, this means that they are reducing the price by 30%:
= 1,000 - 300
= $700
The answer is 42 bc I really do not know trying to get points!
Answer:
45 °
Step-by-step explanation:
m< ABC = m< DBC + m< ABD
= 115 _ 70
= 45 °