.3 (100) = moving the decimal to the right 2 times because of the two zero's in '100'
So .3 (100)= 30
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:
Cost of One Journal = $3.99
Cost of One pen = $0.59
Step-by-step explanation:
Let
Cost of One Journal = x
Cost of One pen = y
We can make equation from given statements.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
Now solving these equations to find the value of x
Multiply eq(1) with 2 and eq(2) with 5
We get the value of x is: x=3.99
Now, putting value of x in equation 1 to find value of y.
So, we get the value of y: y = 0.59
Now, finding the costs:
Cost of One Journal = x = $3.99
Cost of One pen = y = $0.59
Area of a triangle = 1/2 x base x height
Length of base = 15-5 = 10cm
Length of height = 15-5 = 10cm
1/2 x 10 x 10 = 50
So the area is 50cm^2
Let me know if you have any questions
there are 60 minutes per hour
99/60 = 1.65 km per minute
1.65 x 2 = 3.3 km in 2 minutes
