Answer:
Step-by-step explanation:
i think the answer is the 3rd one
I believe so since abbreviations is being used
Using proportions, it is found that the length of MN is of 48 inches long.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
MP = 8 and PN is 5 times as long as MP, hence:
PN = 5 x 8 = 40.
Then:
MN = MP + PN = 8 + 40 = 48 inches long.
More can be learned about proportions at brainly.com/question/24372153
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We will see that the difference quotient of the given function is 5.
<h3><u>
How to find the difference quotient?</u></h3>
Here we want to find the difference quotient for the given function.
First, remember that the difference quotient is given by:
![\lim_{h \to 0} \frac{f(x +h) - f(x)}{h}](https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7Bf%28x%20%2Bh%29%20-%20f%28x%29%7D%7Bh%7D)
Now we want this for the function:
j(x) = 5x - 3
Then we will have:
![\lim_{h \to 0} \frac{j(x +h) - j(x)}{h}\\\\\lim_{h \to 0} \frac{5*(x + h) -3 - 5*x + 3}{h}\\\\\lim_{h \to 0} \frac{5x + 5h - 3 - 5x + 3}{h}\\\\\lim_{h \to 0} \frac{5h}{h} = 5](https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7Bj%28x%20%2Bh%29%20-%20j%28x%29%7D%7Bh%7D%5C%5C%5C%5C%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7B5%2A%28x%20%2B%20h%29%20-3%20-%205%2Ax%20%2B%203%7D%7Bh%7D%5C%5C%5C%5C%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7B5x%20%2B%205h%20-%203%20-%205x%20%2B%203%7D%7Bh%7D%5C%5C%5C%5C%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7B5h%7D%7Bh%7D%20%3D%205)
So the difference quotient of j(x) is 5.
If you want to learn more about difference quotients, you can read:
brainly.com/question/15166834
Answer: 8
Step-by-step explanation:
.32 x 25 = 8