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:
brainly.com/question/4224465
Answer:
y=2.5
Step-by-step explanation:
<h3>
Answer:</h3><h3>(-0.5, 1.5)</h3>
Step-by-step explanation:
In a Geometric Sequence,<span> each term is found by </span>multiplying<span> the previous term by a </span>constant<span>. For this case, the constant is 4. To find the sum of the geometric sequence with 8 terms, we use the formula as follows:
</span>∑(ar^k) = a ( 1-r^n) / (1-r)
<span>
where a is the first term, r is the constant, n is the number of terms
</span>∑(ar^k) = 4 ( 1-4^8) / (1-4)
∑(ar^k) = 87380
The answer is equation 2. The reasoning is because a linear function is y=mx+b
therefore, y=8x+1 seems to be very close.
