Answer:
f(1) = 1
Step-by-step explanation:
A function can have only one value of y for a given value of x.
Thus, if f(1) = 5, we cannot have f(1) = 1.
We can have f(2) =1 and f(5) = 5, because these are values of y for different values of x,
The first diagram below is the graph of a function, because there is only value of y that corresponds to a given value of x.
The second diagram is not the graph of a function, because there are two values of y that correspond to a given value of x.
However, the top semicircle and the bottom semicircle separately are graphs of functions, because they each have only value of y that corresponds to a given value of x.
Combine like terms
6x + 9 - 16x
6x - 16x = -10x
-10x + 9 = -21
-9 -9
-10x = -30
-10x/-10 = -30/-10
x = 3
Answer: x = 3
The given question is incomplete and has the following options
1) 35 t-shirts and 15 sweatshirts
2) 32 t-shirts and 18 sweatshirts
3) 25 t-shirts and 20 sweatshirts
4) 22 t-shirts and 22 sweatshirts
5) 15 t-shirts and 25 sweatshirts
Answer:
total money to be spent on clothing = $900
the only possible combination for this will be
25 t shirts and 20 sweatshirts
because 25*12 + 20 * 30 = 900
Answer: Graph D (bottom right corner)
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Explanation:
The equation y = 3x+3 is in slope intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, both the slope and y intercept are the same (though in general they tend not to be).
The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3
Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.
You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.
-32 because all you do is multiply -2 5 times.
