Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum.
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.
This is the answer for your question: y=3x+130
The equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.
<u>Step-by-step explanation:</u>
- Sally gets paid $15.00 dollars per hour for a 40-hour weekly work.
- She gets y dollars for each extra hour she works over 40 hours.
<u>The equation can be framed as :</u>
Let,
- x be the total pay she could get for 48 hours.
- The amount she earned for 40 hours = 40 × $15 ⇒ $600
- The amount she earned for extra hours = 8 × y ⇒ 8y
The equation is given as,
Total earnings = amount earned for 40 hours + amount for extra 8 hours.
⇒ x = 600 + 8y
Therefore, the equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.
Answer:
I cant help if there is not a picture of the spinner because I dont know how many sections are there.
Step-by-step explanation:
6 + 12 = 18
18 + 24 = 42
Double the difference between every 2 numbers (12 x 2 = 24 x 2 = 8)
42 + 48 = 90
90 is the missing number
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