Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:
And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:
So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :
So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be:
Answer:
1. The y-intercept
2. The slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10
Step-by-step explanation:
1. The value of the y coordinate at the point which the graph meets the y-axis is called to the y-intercept. It is the value at which the x-coordinate is equal to zero, that is, the coordinate of the point at the y-intercept = (y, 0)
2. Given that Clarissa eats 1 piece of chocolate every 10 seconds, we have the slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10.
Answer: a. You must pay $11.19 for the item.
b.The price you would expect to pay would be $36.59
Step-by-step explanation:
Hi, for first the question you need to calculate the 30 percent of the price of the item, and then subtract that result to the original price.
So: $15.99 × 0,30 = $4.797
$15.99 - $4.797 = $11.19
You must pay $11.19 for the item.
It´s a similar resolution, first you calculate the 40 percent of the retail price, and then subtract that result to the retail price.
So:
$60.99 × 0,40= $24.396
$60.99 - $24.396 = $36.59
The price you would expect to pay would be $36.59
Step-by-step explanation:
We have
Let's factor the denomiator first,
the denomaitor is a perfect square so we get
Now, we must think of two fractions that
We use a perfect square term for one fraction, then a linear one for the next, because if we set both of the denomiator to the same factor, we would get a inconsistent system.
So right now, we have
so that means that a is
So our equation is
