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Phoenix [80]
3 years ago
9

Please! Solve f(x)-g(x) if f(x)=1/2x^4 - x^2 and g(x)= 3/4x^4 +3x^3 - x^2

Mathematics
1 answer:
igomit [66]3 years ago
6 0

Answer:

f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}

Step-by-step explanation:

This is a subtraction between polynomials, since both functions are polynomials, hence, to solve the problem with need to perform the subtraction, by coefficients.

f(x)= \frac{1}{2}x^{4}+0x^{3}-x^{2}\\\\g(x)=\frac{3}{4}x^{4}+3x^{3}-x^{2}

By performing the subtraction, we have:

f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}

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What is the theoretical probability that the dial will land on the number 5? Enter your answer in all forms
Sedbober [7]

Answer:

1/3

Step-by-step explanation:

There are <u>four</u>  5's on the dial out of 12 possible stops

    4/12 = 1/3   theoretical

5 0
2 years ago
Read 2 more answers
A rectangles width is 4 less than its area and its length is 19. what is it’s width?
Alchen [17]

The width of the rectangle is \frac{2}{9} unit

Step-by-step explanation:

The given is:

  • A rectangles width is 4 less than its area
  • Its length is 19 units

We need to find the width of the rectangle

Assume that the width of the rectangle is x units

∵ The area of the rectangle = length × width

∵ The width of the rectangle = x units

∵ The length of the rectangle = 19 units

∴ The area of the square = 19 × x = 19 x units²

∵ The width of the rectangle is 4 less than its area

- That means subtract 4 from the area to find the width

∴ x = 19 x - 4

- Subtract 19 x from both sides

∴ -18 x = -4

- Divide both sides by -18

∴ x = \frac{-4}{-18}

- Reduce the fraction by dividing up and down by -2

∴ x = \frac{2}{9}

The width of the rectangle is \frac{2}{9} unit

Learn more:

You can learn more about the rectangles in brainly.com/question/12919591

#LearnwithBrainly

4 0
3 years ago
A shirt is on sale for $30. It was originally $40 What is the percent of the decrease?​
SpyIntel [72]

Answer:

25% percent

Step-by-step explanation:

4 0
3 years ago
the gasoline gauge on a van initially read 1/8 full. When 15 gallons were added to the tank the gauge read 3/4 full. How many mo
Nostrana [21]
So 15 gallons of gas brought it from 1/8 full to 3/4 full.

Let's change 3/4 to the equivalent fraction 6/8  so that the denominators are the same.    (3/4 = 6/8)

So 15 gallons of gas brought it from 1/8 to 6/8   Those 15 gallons must be 5/8 of the tank's capacity   6/8 - 1/8 = 5/8

So 15 is 5/8 of what number?  (This will tell us the capacity of the whole tank)

15 = 5/8n
Divide both sides by 5/8 (remembering to multiply by the reciprocal 8/5)
15 ÷ 5/8  = 15 x  8/5  = 18

So the tank holds 24 gallons and (since it is 3/4 full or has 18 gallons) it needs 6 gallons to fill the tank.

Check - at first  1/8 full (1/8 of 24 = 3)  So we started with 3 gallons. 15 gallons added to the 3 gallons is 18 gallons.  Now the tank is 6/8 (3/4 full).  The remaining 1/4 (2/8) of a tank is the difference between 18 and it's capacity (24 gallons)  so it will need 6 gallons to fill it up..

3 0
3 years ago
One pipe fills a storage pool in 8 hours. A second pipe fills the same pool in 4 hours. When a third pipe is added and all three
steposvetlana [31]
The first pipe fills 1/8 of a pool in one hr.
The second pipe fills 1/4 of a pool in one hr.

(1/8+1/4)2= 3/4 done by the first two pipes in 2 hours.
Therefore the last pipe must do 1 1/4 of the filling in 2 hours, which is 5/8 per hour.

5/8x=1
x=8/5

It takes the third pipe 1 hour and 36 minutes to fill it by itself.
7 0
3 years ago
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