At a community center the ratio of swimming teachers to students is 1:4
2 answers:
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We will see that g(x) is a reflection across the y-axis of f(x), then:
By looking at the graph, we can see that g(x) is a reflection across the y-axis of f(x).
So we can write:
g(x) = f(-x)
Here we know that:
Then, replacing f(x) on the formula for g(x), we get:
That is the function g(x) shown in the figure.
If you want to learn more about transformations:
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Answer:
Solutions are (3,1) and (4,2)
Step-by-step explanation:
Graph is shown in the attached sheet
Given are two systems of equations and we have to solve them using graph
For graphing let us first prepare table for x and y.
1)
I line II line
x 0 4.5 3 x 0 2.5 3
y 3 0 1 y -5 0 1
The two lines intersect at (3,1)
Hence solution is (3,1)
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2)
I line II line
x 0 2 4 x 0 6 4
y 0 1 2 y 3 0 2
The two lines intersect at (4,2)
Hence solution is (4,2)
Answer:
0.267
Step-by-step explanation:
This can be solved using the binomial probability formula which is:
Where
n is total number of trials (here, the total number of questions is 8, so n = 8)
k is the number of attempts we are looking for (here, we want to find probability of 1 question correct, so k = 1)
p is the probability of success (here, success is getting a questions right. Since there are 4 choices and 1 is right, probability of right = 1/4)
<em>Plugging all the info into the formula we get:</em>
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<em>Second choice is right.</em>