When g(x) and f(x) are inverse functions, the graph that represents g(x) is the second graph.
<h3>How to explain the graph?</h3>
It should be noted that the first graph shows the radical expression where, f(x) = ✓x.
In order to find the inverse, we need to replace f(x) with y and switch the x. This will be:
x = ✓y
(✓y)² = x².
y = g(x) = x²
Therefore, the graph that shows the exponential growth is the second graph.
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Answer:
2 gallons
Step-by-step explanation:
So say we make everything into cups. We know there is 4 cups in a quart and 2 cups in a pint. So if we do the math you are really adding
4 cups + 4 cups + 8 cups + 16 cups
So that would be 32 cups.
We also know there is 16 cups in a gallon. Since we know that then we can do
32 cups ÷ 16 cups
That would be 2 gallons!
Hope this helps!
Answer: The probability of this ocurring by chance is less than 0.01.
The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.
Step-by-step explanation:
Since we have given that
Number of times a coin tossed = 500
Number of times head occurs = 416
So, our Z-score would be

So, At significance level of 0.01, p-value of Z-score is .202704.
and p-value < 0.01, i.e. 0.202704<0.832.
Hence, the probability of this ocurring by chance is less than 0.01.
The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.
100 - 45 - 20 (0.2 = 20%) - 12.5 (1/8 = 12.5%) = 22.5%
Answer:
Smaller Number = 10
Larger Number = 33
Step-by-step explanation:
Let the smaller number be "x" and the larger number be "y"
5 TIMES smaller is SUBTRACTED from TWICE larger, the result is 16, we can write:
2y - 5x = 16
and
Larger increased by 3 TIMES SMALLER, result is 63, so we can write:
y + 3x = 63
We can write this in terms of x, as:
y = 63 - 3x
Now we put this in equation 1 and solve for x first:
2y - 5x = 16

Now,
y = 63 - 3x
y = 63 - 3(10)
y = 63 - 30
y = 33
Smaller Number = 10
Larger Number = 33