Answer:f(x)= -8 (4x) will be the reflected function across x-axis for the function g(x).
Explanation: since we know that the image or reflection of x along x-axis = -x
That is, when we talk about a function's reflection across any axis then we have to replace variable according to that axis. For example if you have a line x=3 in positive x-axis then you can also draw a similar line x=-3 in negative x-axis. so, you can say, x=-3 is the reflection of x=3 along x axis.
Similarly, for an another line y=3, y=-3 is a reflection.
thus in the case of g(x) we can find the reflection across x-axis after replacing x by -x.
we have g(x) =8(4x)
replace x by -x we get g(-x)= 8(4×-x)= 8(-4x)=-8(4x)
so -8(4x) is the reflection of g(x)
but according to the question f(x) is the reflection of g(x) across x-axis.
Thus, f(x)=-8(4x)
Answer:
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Ratio
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cookies : candies
5 : 7
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Multiply Ratio by 2
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cookies : candies
5 x 2 : 7 x 2
10 : 14
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Multiply Ratio by 3
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cookies : candies
5 x 3 : 7 x 3
15 : 21
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Multiply Ratio by 4
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cookies : candies
5 x 4 : 7 x 4
20 : 28
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Answer: C
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Step-by-step explanation:
please mark brainliest
For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as
- 95% confidence interval = (0.5352, 0.4462)
- 95% confidence interval = (0.3424, 0.2894)
- 53% increased risk of divorce for smokers.
<h3>What is the 95% confidence interval for smokers and non-smokers?</h3>
Generally, the equation for the Confidence interval is mathematically given as
p ± Z/2[p(1-p)]/n
Where
Z1/2=1-(0.05/2)
Z1/2=0.975
Read z table we have
Z score= 1.96
Hence
0.4907 ± 1.96 (0.4907)(1-0.4907)/485
0.4907±0.0445
Therefore
95% confidence interval = (0.5352, 0.4462)
b)
Z1/2 = 1- (0.05/2)
Z1/2 = 0.975
Z score= 1.96
0.3159 ± 1.96 (0.3159)(1-0.3159)/1184
0.3159±0.0265
Thereofore
95% confidence interval = (0.3424, 0.2894)
c)
In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.
Read more about Confidence interval
brainly.com/question/17097944
This is direct variation since the x isn't in the denominator.
Answer:
it is more like, 4x4=16
16x4=64
Step-by-step explanation:
I know it can be confusing, but you will eventually get it :)
i think you were adding 4+4+4=12, but that is not what you are supposed to do here.
Hope i helped :)
