The parent function, f(x) = 5x, has been vertically compressed by a factor of one-half, shifted to the right three units and up
two units.
1 answer:
I'm guessing you want to know what the new function looks like.
Compression takes place when you have a function that constant is between 0 and 1
so f(x) = 1/2 5x We'd best not do any more to it for now because it will be altered by the next two transformations.
You want to shift this to the right two units.
That means f(x-2) will bu put into x on the right. You will get
f(x - 2) = 1/2*5(x - 2)
Finally, we want to go up 2 units. That's done by adding another term on what we have already.
f(x -2) = 1/2 * 5(x - 2) + 2
A line is not a very good example to be showing these transformations. I'll include a graph.
The red line is f(x) = 5x
The blue line is f(x - 2) = 1/2 * 5(x -2) + 2
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Answer:
i did it and i think b should be right
Answer:
The number of Television at the beginning was 90
The number of video cassette recorders at the beginning was 89
Step-by-step explanation:
Selling Price of 1 Television =$360.
Selling Price of 1 video cassette recorders for $270.
Let the number of Television at the beginning=x
Let the number of video cassette recorders at the beginning =y
Opening Stock =$56,430.
Therefore:
- 360x+270y=$56,430.
It sells three quarters of the televisions and one third of the video cassette recorders for a total of $32,310.
270x+90y=32310
We then solve the two equations to obtain x and y.
- 360x+270y=$56,430. (Multiply by 270)
- 270x+90y=32310 (Multiply by 360)
97200x+72900y=15236100
97200x+32400y=11631600
Subtract
40500y=3604500
y=89
Substitute y=89 into 270x+90y=32310 to obtain x
270x+90(89)=32310
270x=32310-8010=24300
x=90
Therefore:
The number of Television at the beginning was 90
The number of video cassette recorders at the beginning was 89
x is 14.3
the right angle is 90 degrees, so sin(a) is 90
multiply sin(90) on both sides to give:
x is 14.3
Using the combination formula, the coach can make 5,005 different groups.
The position does not matter, hence the <em>combination formula</em> is used.
<h3>What is the combination formula?</h3> is the number of different combinations of x objects from a set of n elements, given by:
In this problem, 6 students are taken from a set of 15, hence the number of groups is:
More can be learned about the combination formula at brainly.com/question/25821700
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