Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.
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Explanation:
Note how x is decreasing by 3 each time
- -2-3 = -5
- -5-3 = -8
- -8-3 = -11
At the same time, y is also decreasing by 3 each time
This means we have a linear function. We have,
slope = (change in y)/(change in x)
slope = (-3)/(-3)
slope = 1
Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.
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Another way to find the slope is to pick any two points from the table and use the slope formula
m = (y2 - y1)/(x2 - x1)
You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.
Answer: a.) -1 2/3
explanation: -2 1/6 - 1 1/4= -13/6 - 5/4= -41/12 ; 1 3/4= 7/4 ; -41/12 + 7/4= -5/3 ; -5/3= -1 2/3
Answer:
- b ≤ 10, which means <em>number of books less than or equal to 10.</em>
Explanation:
In mathematical language a<em> constraint</em> is a limitation on the values that a variable can take.
In this case, the constraint is given by the fact that there are 10 books in the reading list from which Henry can choose to read this week.
So, the number of books that he can read is 1, 2, 3, ..., 10 (at most). This is, 10 books is an upper bound.
To represent an upper bound, you use the inequality symbol ≤, which means less than or equal to.
Henry can read as many as 10 books, so that is less than or equal to 10.
If you call b the number of books, the constrain may be written as:
constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. The set of candidate solutions that satisfy all constraints is called the feasible set.[1
Y = 4x + 50
y is height, 4 meters per second (x), 50m initial height
Answer:
What do you mean by a "Good estimate"? There's no picture or questions.
Step-by-step explanation:
