Simplify:...... (3x⁴)³
2 answers:
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Step-by-step explanation:
Since it's a direct variation
y = kx
where k is the constant of proportionality
To find the value of y when x = –0.5 we must first find the relationship between the variables
When
x = 3
y = 2
2 = 3k
Divide both sides by 3
So the formula for the variation is
<h3>When x = - 0.5 or - 1/2
We have the final answer as
<h2>Hope this helps you
We want to get the difference quotient for the given function, we will get see that the difference quotient is equal to:
f'(x) = 2x + 5
<h3>The difference quotient:</h3>
For a given function f(x), we define the difference quotient as:
In this case, we have:
f(x) = x^2 + 5x + 6
Replacing that in the difference quotient we get:
Now we can cancel the factor h to get:
So the difference quotient is equal to 2x + 5.
If you want to learn more about difference quotients, you can read:
Answer:
Step-by-step explanation:
This is a compound interest formula expressed as:
Where
is time in years
is the rate of interest
is the accumulated amount after n years
is the initial amount.
#We substitute the given values to determine amount after n years as follows:
Hence, the amount earned after n years of her career is given by