Given

To find the derivative of the give function,we apply below exponent rule first:

So,
Next, we apply the chain rule:
So,
We substitute back u=(5x-6):
Simplify:
Therefore, the answer is:
Answer:
A
Step-by-step explanation:
If you convert the first equation to y=mx+b form, it will be the same as the second equation.
6x - 15y = 15
-15y = -6x + 15
y =
x -1
Because the 2 equations are the same now, they are the same line.
Answer:
5ab
Step-by-step explanation:
To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.
Find the largest number of each element that can be divided by both.
Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)
Variable a: the GCF of a² and a is a
Variable b: the GCF of b and b² is b
Therefore, the GCF is 5ab.
The linear equation that models the cost for having x additional family members added is:
c(x) = $75 + $10.99*x
<h3>
How to get the linear equation?</h3>
Here we know that the plan has a fixed price of $75 plus $10.99 for each family member added beyond the primary account holder.
Then if there are x family members added, the cost will be:
$75 + $10.99*x
Then the linear equation that models the cost for having x additional family members added is:
c(x) = $75 + $10.99*x
If you want to learn more about linear equations:
brainly.com/question/1884491
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