Answer:
C
Step-by-step explanation:
it is C
Answer:
The two lines meet at (-1,1)
Answer:
Step-by-step explanation:
We have 2 linear equations, and in both, the amount of merchandise you would have to purchase is "x", the unknown. We are asked to find that value of x.
The first equation is
C(x) = .30x + 90, which says that the cost of this plan is a fixed $90, and you pay 30% of the manufacturer's cost, x.
The second equation is
C(x) = .80x + 40, which says that the cost of this plan is a fixed $40, and you pay 80% of the manufacturer's cost, x.
If we want to know when the cost of these 2 are equal to each other, we set the equations equal to each other and solve for x:
.3x + 90 = .8x + 40 so
-.5x = -50 so
x = $100
The cost for each plan will be the same at this value of x, but we will plug in 100 for x in each just to make sure we did it right:
C(100) = .3(100) + 90
C(100) = 30 + 90
C(100) = 120 and
C(100) = .8(100) + 40
C(100) = 80 + 40
C(100) = 120
Answer:
The product of two rational numbers is a rational number
Step-by-step explanation:
I'll quickly recap the proof: a rational number is, by definition, the ratio between two integers. So, there exists four integers m,n,p,q such that
If we multiply the fractions, we have
Now, mp and nq are multiplication of integers, and thus they are integers themselves. So, ab is also a ratio between integer, and thus rational.
