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Romashka-Z-Leto [24]
3 years ago
5

Calculate the average rate of change for the function f(x)=x^4+3x^3-5x^2+2x-2, from x=-1 to x=1

Mathematics
1 answer:
borishaifa [10]3 years ago
6 0
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^4+3x^3-5x^2+2x-2  \qquad 
\begin{cases}
x_1=-1\\
x_2=1
\end{cases}\implies \cfrac{f(1)-f(-1)}{1-(-1)}
\\\\\\
\cfrac{[1+3-5+2-2]~~-~~[1-3-5-2-2]}{1+1}\implies \cfrac{[-1]~~-~~[-11]}{2}
\\\\\\
\cfrac{-1+11}{2}\implies \cfrac{10}{2}\implies 5
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Rom4ik [11]
<h3>Answer:  10 cm  (choice A)</h3>

====================================================

Explanation:

One equation we could solve is

x/2.5 = 30/7.5

Note the x/2.5 has us dividing the vertical sides, while 30/7.5 is the same idea for the horizontal sides. The order is large over small. You could do small over large, but make sure you keep both sides consistent.

Solving for x leads to...

x/2.5 = 30/7.5

x*7.5 = 2.5*30

7.5x = 75

x = 75/7.5

x = 10  (choice A)

There are many other possible equations that lead to the same answer. One other possible equation is x/30 = 2.5/7.5

These proportions are possible due to the fact we have similar triangles.

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2 years ago
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Answer:

Positive.

Step-by-step explanation:

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3 years ago
emma drank 1/4 of a milk shake 1/12 of a minute how many minutes will it take her to drink a full milk shake
kodGreya [7K]
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Answer:

Step-by-step explanation:

A.  It costs $20 per adult.  If this is a cost fuction, which it is because the wording is "the cost (in dollars) for a adults and c students", adult is a, the cost for 1 adult, 1a, is 20.  That relates the number of adults to the cost of 1 adult.

It costs $13 per student.  Again, this is a cost function, so since student is c, the cost for 1 student, 1c, is 13.  That relates the number of students to the cost of 1 student.

B.  The total cost for 4 adult and 24 students looks like this:

20(4) + 13(24) which is 80 + 312 = $392

C.  If you have 3 adults and 3 students in your group, the cost is 20(3) + 13(3) which is $99.  If you double the number of each, let's see if the cost doubles.  We will "up" the numbers to 6 each.  20(6) + 13(6) = $198.  Is $198 the double of $99.  Yes it is.  Let's do it again to check.  Let's double the 6.

20(12) + 13(12) = $396, and $198 doubled does in fact equal $396. So there you go!

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3 years ago
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olya-2409 [2.1K]

Answer:

option A

Step-by-step explanation:

All the three angles are equal..

so it's AA similarity

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