Answer:
x^4-3x^3+x^2-4
Step-by-step explanation:
Given the following functions
R(x) = 2x^4 – 3x^3 + 2x – 1 and
C(x) = x^4 – x^2 + 2x + 3
We are to find the profit function P(x)
P(x) = R(x) - C(x)
P(x) = 2x^4 – 3x^3 + 2x – 1 - ( x^4 – x^2 + 2x + 3)
P(x) = 2x^4 – 3x^3 + 2x – 1 - x^4 + x^2 - 2x - 3
Collect the like terms
P(x) = 2x^4-x^4-3x^3+x^2+2x-2x-1-3
P(x) = x^4-3x^3+x^2+0-4
P(x) = x^4-3x^3+x^2-4
Hence the required profit function P(x) is x^4-3x^3+x^2-4
Answer:
30%
Step-by-step explanation:
$500-$350=150
150/500 x 100
=30%
First you would distribute through the parenthesis
-10x+2+7(5x-1)-3(-5x+1)
Then distribute
-10x+2+35x-7-3(-5x+1)
And then distribute 3
-10x+2+35x-7+15x-3
Collect like terms
40x+2-7-3
40x-8 is your answer :)
Answer:
(a) $180
(b) 25%
Step-by-step explanation:
(a) $126 = 30% of x; x is the total
so from this, you get an equation: 126 = 0.3x
solve the equation: x = 180; so the amount before
discount is $180
(b) You know the price of discount for the rice cooker is
180-126 which is $54
Then you subtract 54 from 64 to get the discount amount for the toaster
10/40 is 1/4 or 25%
|-4| would be 4 because it is the distance from zero or absolute value
