Answer:
f(g(x))=9-x-
Step-by-step explanation:
Given ,
f(x)=9-x
g(x)= +x
here,.
fog
=f(g(x))
=f( +x)
=9-( +x)
=9- -x
=9-x-
Remember that you can always multiply or divide BOTH the numerator and denominator
of the fraction by anything you want to. You just have to do exactly the same to both of
them.
The way to simplify a fraction is to divide both the numerator and denominator by their
greatest common factor.
Do you see all of those 'x's on the top and bottom ? The top and bottom can
both be divided by x-cubed.
<u>Numerator:</u>
Divide (-4³) by x³, and you have (-4) left.
<u>Denominator:</u>
Divide (x³ - 2x⁴) by x³, and you have (1 - 2x) left.
So, the simplified fraction is [ -4 / (1 - 2x) ].
That's a perfectly good answer, but you could make it look a little prettier
if you multiply the top and bottom both by -1 . Then it would be
4 / (2x - 1) .
Either one is fine.
Answer:
B
Step-by-step explanation:
Yes, because the sample size is at least 30, and we have a random sample.
We have our sample size to be 33% of the student = 33 student (approx)
- According to conditions of normality which states that the sample size collected from a normally distributed population with 100 students should have a sample size of at-least 30 students.
- This condition approximates that the sample collected is also random and and follows a normal distribution like the population ( i.e total number of students = 100 ) itself.
- However, the spread of the data sigma = 3,000 is very large but it does not invalidates the condition of normally distributed sample, it only means that values are spread wide about the mean = 400.
Answer:
$7520.55
Step-by-step explanation:
Cost of truck = $8000
Residual value = $1000
Estimated useful life = 7 years
Depreciation = (cost of asset - salvage value) / useful life
Depreciation = (8000 - 1000) / 7
Depreciation = 7000 / 7
Depreciation = $1000
Truck was purchased on July 9, Therefore, Depreciation by the end of year one will be;
Number of days between July 9 and year end = 175 days
Daily Depreciation = $1000 / 365 = $2.739
Total Depreciation by year end = (daily Depreciation * 175 days) = $479.45.
Book value at the end of year 1 = (8000 - 479.45)
= $7520.55
Step-by-step explanation:
a day =24hrs so 10 days=240hrs
20hrs/240hrs ×100%to get the percentage
20/240×100%=8 1/3