Answer:
Option A.
Step-by-step explanation:
we know that
If point C is a solution of the system of inequalities, then point C must satisfy both inequalities
Point C is located below the solid line f(x) and below the solid line g(x)
so
The shaded region of the solution set of the system must be below of the inequality f(x) and must be below of the inequality g(x)
therefore
The system is
Answer:
Step-by-step explanation:
xy = k
where k is the constant of variation.
We can also express the relationship between x and y as:
y =
where k is the constant of variation.
Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .
Example 1: If y varies inversely as x, and y = 6 when x = , write an equation describing this inverse variation.
k = (6) = 8
xy = 8 or y =
Example 2: If y varies inversely as x, and the constant of variation is k = , what is y when x = 10?
xy =
10y =
y = × = × =
k is constant. Thus, given any two points (x1, y1) and (x2, y2) which satisfy the inverse variation, x1y1 = k and x2y2 = k. Consequently, x1y1 = x2y2 for any two points that satisfy the inverse variation.
Example 3: If y varies inversely as x, and y = 10 when x = 6, then what is y when x = 15?
x1y1 = x2y2
6(10) = 15y
60 = 15y
y = 4
Thus, when x = 6, y = 4.
2nd answer choice
constant of variation is xy. XY=23. If X=7 then Y=23/7.
I hope this helps you
2x/4-16/4
x/2-4
60 /1 = 120 /2 = 180 /3
hope it helps
Answer:
A familiar situation is: cost of books you pay for versus the quantity of books bought.
Cost of books ($) and quantity of books are directly proportionally related in the situation.
The graph will look like the graph in the attachment below.
A quantity (dependent variable) will change constantly in relation to another quantity (independent variable) if the relation is a proportional relationship.
A familiar situation for example can be the cost you pay for books will be directly proportional or dependent on the number of books you bought.
That is:
Number of books = independent variable
Cost ($) = dependent variable
A change in the number of books will cause a change in the cost you will pay for buying books.
This shows a direct proportional relationship between the two quantities.
On a straight line graph, the graph will be a proportional graph showing number of books on the x-axis against cost ($) you pay on the y-axis.
Therefore:
A familiar situation is: cost of books you pay for versus the quantity of books bought.
Cost of books ($) and quantity of books are directly proportionally related in the situation.
Step-by-step explanation:
hope this helps cutey ;)
