Answer:
10<em>m</em>
Step-by-step explanation:
Your teacher probably told you the necessary fundamentals of monomials. So, I'll just teach you the things needed for this particular question.
10<em>m</em>^3/(10<em>m</em>)(<em>m</em>)
First, in the denominator, since that <em>m</em> are being multiplied and they are the same <em>terms, </em>their exponents add:
10<em>m</em> * <em>m</em>
10<em>m</em>^1 * <em>m</em>^1
1 + 1 = 2
10<em>m</em>^2
Then, since that <em>m </em>are now being divided, their exponents subtract:
10<em>m</em>^3 / 10<em>m</em>^2
3 - 2 = 1
10<em>m</em>^1
10<em>m</em>
Answer:
In point slope form, this is y = (-5/2)x + 2. In standard form, it's (5/2)x + y = 2.
Step-by-step explanation:
y-6=-5/2 (x+4) has already been written in point-slope form. The slope of the line is -5/2 and the point on the line is (-4,6).
In slope-intercept form: add 6 to both sides of the original equation, obtaining y = 6 - (5/2)(x + 4), or y = 2 - (5/2)x, or y = (-5/2)x + 2
Answer:
p(x) = 0.6x³ - 200x² + 500x- 300
Step-by-step explanation:
Given the cost function and revenue function as:
C(x) = 500x² + 100x
R(x) = -0.6x³ + 700x² – 400x + 300
To get the profit function:
p(x) = C(x) - R(x)
p(x) = 500x² + 100x -(-0.6x³ + 700x² – 400x + 300)
open the parenthesis
p(x) = 500x² + 100x + 0.6x³ - 700x² + 400x - 300
p(x) = + 0.6x³+500x² - 700x² + 100x+ 400x- 300
p(x) = 0.6x³ - 200x² + 500x- 300
Hence the profit function is expressed as p(x) = 0.6x³ - 200x² + 500x- 300
Answer c=5.196
c=sqrt(27)
c=5.196
