Factoring out x
x(-3x^2+15x+42) now factor parenthetical expression
x(-3x^2+21x-6x+42)
x(-3x(x-7)-6(x-7))
x(-3x-6)(x-7) we can factor out -3 from first parentheses
-3x(x+2)(x-7)
Answer:
Step-by-step explanation:
<u>Modeling With Functions
</u>
We have a table of values of speeds vs distance taken for a car to stop. We are required to find a model that uses the square root and fits the given data to predict other values of d as a function of v.
By the nature of the problem, we can know that for v=0, d must be 0 too. So our model won't include a vertical shift or independent term. Being v the speed of the car and x the distance it takes to stop, we use the following model
We must find A to make the function fit the data. Let's use the first point (v,x); (20,9)
Solving for A
Then we have
Evaluating for v=35
Last option
The first thing I would do is divide the rate by 1 1/4, to get the amount per hour which gives us this:
20 pages per 1 hour
Now, that we know he reads 20 pages per hour, we just divide 230 by 20 to find the amount of hours. Our answer comes out to 11.5 hours.
Answer:
51 + 29
Step-by-step explanation: