Answer:
f'(x) = (x + 1)/15
Step-by-step explanation:
f(x) = 15x -1,
Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.
f(x) = 15x - 1
+1 +1
f(x) + 1 = 15x
/15 /15
(f(x) + 1)/15 = x
This means that (denote in the way one would denote an inverse of a function);
f'(x) = (x + 1)/15
Answer: 1. no
2. yes
3. no
4. if they are talking about the repeating number in -5/6, then yes the repeating number is 3.
5. no
I'm not 100% sure abt these answers but since nobody is answering so far here's my opinion :D I really don't want you to lose 100 points so pls b careful!!
Carina should've subtracted 3.40 from 5.27
<u>Part A
</u><u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case,

and

equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about
3 gallons.
<u>Part B
</u><u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.
Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

Now, we can simply add our numerators.

We know that he needs

gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

Using that logic, we can see that the painter needs exactly
gallons of paint.
<em>1452 feet</em>
- Step-by-step explanation:
<em>1 hour = 60min×60sec = 3600 sec</em>
<em>1 miles = 5280 feet</em>
<em>22 miles = 22×5280ft = 116160 ft</em>
<em />
<em>3600sec ................. 116160 ft</em>
<em>45sec ................................ x ft</em>
<em>x = 45×116160/3600</em>
<em>= 5227200/3600</em>
<em>= 1452 feet</em>