Answer:
P(x)= x ^4-3x^3+x^2-4
Step-by-step explanation:
Given data
R(x) = 2x ^4-3x^3+2x-1
c(x)=x^4-x^2+2x+3
We know that
P(x)=R(x)-C(x)
Hence
P(x)= 2x ^4-3x^3+2x-1-(x^4-x^2+2x+3)
open bracket
P(x)= 2x ^4-3x^3+2x-1-x^4+x^2-2x-3
Collect like terms
P(x)= 2x ^4-x^4-3x^3+x^2-2x+2x-3-1
P(x)= x ^4-3x^3+x^2-4
Answer:
- 40 popcorns and 90 pretzels sold.
============
Let the number of popcorns is x and pretzels is y.
Set up equations:
- x + y = 130
- 2.5x + 2y = 280
Solve by elimination, multiply the first equation by 2 and subtract from the second equation:
- 2.5x + 2y - 2x - 2y = 280 - 2*130
- 0.5x = 280 - 260
- 0.5x = 20
- x = 20/0.5
- x = 40
Find y:
- 40 + y = 130
- y = 130 - 40
- y = 90
<span>Total Cost/Price: 529.74
</span>Total Tax: <span>39.24
</span>
When one number is negative and the other is positive.
Answer:
20.2 miles
Step-by-step explanation:
This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:
= +
= +
576 = + 169
= 576 - 169
= 407
x =
= 20.1742
x = 20.2 miles
The glider has to fly 20.2 miles to return to the airport.