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: 
Step-by-step explanation:
Given : 1 calorie= 4.184 joules
A food calorie = 1000 calories = 4184 joules.
Then, 2000 food = 
joules [By Unitary method]
We know that : 
Since 1 day = 24 hours
and 1 hour = 3600 seconds
Then, 24 hours = 
seconds.
Now, 
Hence, the average power of this intake =
We are asked to find ratio of two relative intensities. Let's start by rearranging formula for R:
For air-raid siren we have:
For jet engine noise we have:
To find out <span>many times greater is the relative intensity of the air-raid siren than that of the jet engine noise we need to divide these two numbers:
</span>tex] \frac{R_{1}}{R_{2}} = \frac{10^{15}}{10^{12}} =10^{3}=1000[/tex]
y + (2x -12) = 180 (since they are supplementary angles)
(2x-12) = 96 ( since they are alternate exterior angle)
2x = 96 + 12
2x = 108
x = 108/2
x = 54.
y+( 2x-12)=180
y+(2× 54 -12) = 180
y + (108-12) = 180
y + 96 = 180
y= 180-96
y = 84.
Answer:
The probability of scoring 1, 3, or 5 points with one randomly thrown dart is equal to divide the area of the largest circle by the area of the square game board
step 1:
Find the area of the square game board
"A=b^{2}"
we have
b=20cm
"substitute"
A=20^{2}
=400cm²
step 2:
Find the probability
P=314/400
=0.785
=0.785 x 100
=78.5%
