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:
mulitply and divide by both sides
and yes
Step-by-step explanation:
Answer:
1.8-9
2. most often
3.12-13
4.12-13
Step-by-step explanation:
i got it correct thats all i got to say
Answer:
Step-by-step explanation:
Use the basic simple interest formula:
P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:
P * r * t = I
Acct 1
Acct 2
If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other. We will fill those in along with the interest rates in decimal form and the time of 1 year:
P * r * t = I
Acct 1 x .04 1
Acct 2 1500-x .05 1
Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:
P * r * t - I
Acct 1 x .04 1 .04x
Acct 2 1500-x .05 1 .05(1500-x)
The total Interest earned by the addition of the interest earned from both accounts is 69.50. So we add the interest column together and set it equal to 69.50:
.04x + .05(1500 - x) = 69.50 and
.04x + 75 - .05x = 69.50 and
-.01x = -5.5 so
x = 550
That's how much money is in the account earning 4% interest.
Answer:The system of equations to describe the situation are
c + y = 8
6c + 3y = 36
Step-by-step explanation:
Let c represent the number of shirts.
Let y represent the number of caps.
Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. This means that
c + y = 8 - - - - - - - - - - -1
They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each. This means that
6c + 3y = 36 - - - - - - - - - - 2