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ivann1987 [24]
3 years ago
6

Which formula gives the average rate of change of f(x) over the interval [8,12]?

Mathematics
2 answers:
Kruka [31]3 years ago
5 0
I think the answer is C hope this would help you
vagabundo [1.1K]3 years ago
3 0

Answer:

\frac{f(12)- f(8)}{12-8}

Step-by-step explanation:

the average rate of change of f(x) over the interval [8,12]

The formula for average rate of change of f(x) over the interval [a,b] is

\frac{f(b)- f(a)}{b-a}

Given interval is [8,12]

a= 8  and b = 12

So the average rate of change over the interval [8,12] is

\frac{f(12)- f(8)}{12-8}

option 3 is correct

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Galaxy Company sold merchandise costing $1,700 for $2,600 cash. The merchandise was later returned by the customer for a refund.
liraira [26]

Answer:

a) Total assets and total equity decrease by $900.

Step-by-step explanation:

The perpetual inventory method records the selling or purchasing of inventory immediately when it occurs and provides high detail.

6 0
3 years ago
There are some goats, cows, and sheep on a farm. 2/5 of the animals were goats. There are 3 times as many sheep as cows. If ther
svetlana [45]

Answer:

180

Step-by-step explanation:

First thing to do is to get all the animals in terms of cows, since that is our main unknown.  All the other animals' numbers are based on cows.  So let's call cows "x".  Then sheep is 3 times the number of cows, so sheep is 3x.  The number of goats is 45 more than the number of cows, so goats is x + 45.  Let's say, for the sake of ease, that the number of animals is "a".

Here's what we have so far:

# of animals: a

# of cows: x

# of sheep: 3x

# of goats: x + 45

We are told that 2/5 of the animals are goats.  In an equation, that is:

2/5 (animals) = goats, where the word "of" means to multiply, and the word "are" is the equals sign.  Filling in from our key above:

\frac{2}{5}a=x+45

That says that 2/5 of the animals are goats when goats is x + 45.

If 2/5 of the animals are goats, then 3/5 of the animals have to be cows and sheep.  In an algebraic equation:

\frac{3}{5}a=x + 3x.  

Let's go back to the first equation and get rid of the fraction by multiplying everything by 5.  When we do that we get

2a = 5(x + 45) so

2a = 5x + 225

Now let's get rid of the fraction in the second equation by multiplying everything by 5.  When we do that we get

3a = 5(x + 3x) or

3a = 5(4x) so

3a = 20x.  Solve that equation for a.

a=\frac{20}{3}x

Now that we have a in terms of x, we can sub that value in for a in the first equation to solve for x, the number of cows:

2(\frac{20}{3}x)=5x+225 and, simplifying:

\frac{40}{3}x=5x+225 and

\frac{40}{3}x-5x=225.  Get rid of the fraction here by multiplying everything by 3:

40x - 15x = 675 and

25x = 675 so

x = 27

That means that there are 27 cows.

Sheep is 3 times that, so there are 81 sheep.

Goats is 45 more than that, so there are 72 goats.

The total number of animals then is 27 + 81 + 72 which is 180.  Let's check that to see if the number of goats, 72, is 2/5 of 180.

\frac{2}{5}(180) = 72

So we got it!  Yay!  That was hard!!

7 0
3 years ago
Match each expression with an equivalent expression.
Marysya12 [62]

Answer:

6x-4y →  4.  2(3x-2y)

6-4x →    3.  2(3-2x)

6x-4x →  1. 2x

6x-4 →   2. 2(3x-2)

Step-by-step explanation:

You need to:

 Factor out 2 from 6x-4y,  then you get the equivalent expression:

=2(3x-2y) this matches with OPTION 4

Factor out 2 from 6-4y, then you get the equivalent expression:

=2(3-2x) this matches with OPTION 3

Make the subtraction for 6x-4x,  then you get the equivalent expression:

=2x this matches with OPTION 1

Factor out 2 from 6x-4,  then you get the equivalent expression:

=2(3x-2) this matches with OPTION 2

3 0
3 years ago
Read 2 more answers
Mountain View Middle School students work on square desktops. The area of the square desk surface is 4 square feet. What is the
ahrayia [7]

Answer:

2 Feet

Step-by-step explanation:

The area is found by multiplying length by width. Since its a square the length and width are the same and it would have to be 2.

8 0
3 years ago
The first angle of a triangle is 4 times the number of degrees in the second angle. The third angle of the triangle is 12 degree
xenn [34]

Answer:

1st angle: 128°

2nd angle: 32°

3rd angle: 20°

Step-by-step explanation:

You can start by setting up an equation. 180=x+4x+x-12. It sould all add up to 180 because angles of a triangle always add up to 180, and x represents the second triangle (you use the second angle as x because the other two angles elaborate off of this second angle).  Then you solve. Add 12 to 180 and get 192. Then you can add like terms and make it 192=6x (you add the x's together). Lastly divide 192 by 6 and get 32. So the measurement of angle 2 is 32°. Then you multiply 32 by 4 to get the 1st angle measure, being 128. Lastly subtract 12 from 32 and get 20 for angle three. To check you work add the three angle measures you got and see if they =180, if so then you are correct.

5 0
2 years ago
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