The number of lightening strikes on a square kilometer of open ground in a year has mean 5 and standard deviation 2.1. The Natio
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Using an linear function, we have that:
- The inequality is:
- The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
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 can also be interpreted as the initial value of the function.
In this problem:
- A warehouse contains 7250 books in it, hence b = 7250.
- Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.
Thus, the number of books each day is modeled by the following function:
It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:
Then:
The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
More can be learned about linear functions at brainly.com/question/24808124
Answer:
Increasing on it's domain because the slope is positive.
The domain and range are both all real numbers, also known as
.
Step-by-step explanation:
All domain really means is what numbers can you plug in and you get number back from your function.
I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.
The domain is all real numbers.
In interval notation that is .
Now the range is the set of numbers that get hit by y=3x+2.
Well y=3x+2 is a linear function that is increasing. I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.
If slope is positive, then the line is increasing.
If slope is negative, then the line is decreasing.
So y=3x+2 hits all values of y because it is increasing forever. The range is all real numbers. In interval notation that is .
Answer:
y = 2x + 60
Step-by-step explanation:
Use the equation for a line: y = mx + b
Where
x and y are points on the graph
and m is the slope, and can be found by finding
so the slope is 10/5 or 2, since the graph goes up by 10 and over by 5.
so plug into the equation, and you get y = 2x + b
Next, pick a point on the graph, and plug in the x and y coordinates,
for example:
(x,y) = (5,70)
so, 70 = 2(5) + b
then solve for b
60 = b
Then rewrite the equation
y = 2x + 60