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Doss [256]
3 years ago
11

HELP MEEEE How do you add and subtract functions?

Mathematics
2 answers:
nata0808 [166]3 years ago
5 0

Answer:

To add or subtract functions, just add or subtract the values at each point where it makes sense. If the functions are given by formulas, you can just add or subtract the formulas (it doesn't matter whether you plug in values before or after).

Step-by-step explanation:

Lisa [10]3 years ago
4 0

Here's an example of adding two functions

f(x) = 5x^2+7x+10\\\\g(x) = 3x^2-2x+4\\\\f(x)+g(x) = (5x^2+7x+10)+(3x^2-2x+4)\\\\f(x)+g(x) = (5x^2+3x^2)+(7x-2x)+(10+4)\\\\f(x)+g(x) = 8x^2+5x+14\\\\

We basically add the expressions like normal. There are 3 pairs of like terms

  • 5x^2 \text{ and } 3x^2 which combine to 8x^2
  • 7x \text{ and } -2x which combine to 5x
  • 10 \text{ and } 4 which combine to 14

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

Now let's say we wanted to subtract those two functions.

f(x) = 5x^2+7x+10\\\\g(x) = 3x^2-2x+4\\\\f(x)-g(x) = (5x^2+7x+10)-(3x^2-2x+4)\\\\f(x)-g(x) = 5x^2+7x+10-3x^2+2x-4\\\\f(x)-g(x) = (5x^2-3x^2)+(7x+2x)+(10-4)\\\\f(x)-g(x) = 2x^2+9x+6\\\\

Notice in the fourth line, the negative distributes to each term inside the parenthesis. This is because we're subtracting off 3x^2 and also subtracting off -2x (i.e. adding 2x) and also subtracting off 4 all from f(x).

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3 years ago
-2x-9y=-25 -4x-9y=-23 system with elimination
REY [17]
Multiply the first equation by -2. It turns into 4x+18y=50 and the other one stays -4x-9y=-23. Then you "eliminate" the equations by "adding" them. Set it up like this: 
4x+18y=50
      +
-4x-9y=-23
4x-4x= 0. 18y-9y= 9y and 50-23= 27
SO: 9y= 27 and y= 3
And then you plug that in to one equation: 4x +18(3)= 50. 4x= 50-(18*3)
4x= -4, so x=-1.
Plug it back in to check! 
Hope this helps. Happy solving! :)
4 0
3 years ago
Read 2 more answers
Use the following scenario to answer the question below:
Aleks [24]

Answer:

9 hr * 60 min/hr = 540 min. 540 min * 60 sec/min = 32,400 sec. Use the method described by panic mode: round the number down until there is only one non-zero digit left. Here, 32,400 rounds down to 30,000. Now count the number of zeroes; the result is the order of magnitude: 4. (You see this in scientific notation also: 30,000 = 3 × 10^4.)

5 0
2 years ago
The table shows the prices of 8 different treadmills at a sporting goods
irakobra [83]

Answer:

mean: $837.50; median: $810; mode: $810; range: $645

Step-by-step explanation:

Discounted prices are given as:

$640, $810, $755, $810, $1175, $900, $1080, $530

a. Mean = Sum of the Number of Term ÷ Total number of Terms

Total number of term = 8

Mean = ($640 + $810 + $755 + $810 + $1175 + $900 + $1080 + $530) ÷ 8

Mean = $837.50

b) Median.

$640, $810, $755, $810, $1175, $900, $1080, $530

The first step is to rearrange the discounted prices =

$530, $640, $755, $810, $810, $900, $1080, $1175

Second step is to find the number in the middle

$530, $640, $755, )$810, $810, ($900, $1080, $1175

= ($810 + $810) ÷ 2

= $1920 ÷ 2

= $810

Median = $810

c) Mode

This is calculated as the prices that occurs the most or more than once amongst the Discounted prices.

Discounted prices = $530, $640, $755, $810, $810, $900, $1080, $1175

Price that occurs more than once = $810.

Mode = $810

d. Range

This is calculate as the Highest Discounted price - Lowest Discounted price.

Highest Discounted price = $1175

Lowest Discounted price =$530

Range = $1175 - $530

= $645

6 0
3 years ago
Which part of the graph will the directrix pass through?
OLEGan [10]

Answer:

A

Step-by-step explanation:

I just did it

8 0
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