What is the slope between the points (4,-2) and (-1,0)
1 answer:
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Answer:
The correct answer is option D.
Step-by-step explanation:
if the pair of equation has one or more than one solution then it is said to be consistent.
- Only one solution , then independent system.
- More than one solution , then dependent system.
if the pair of equation has no solution then it is said to be inconsistent.
Given : x - 3y = 4 ...[1]
2x - 6y = 8 ...[2]
Solution :
Solving equations with the help of Substituting methods:
x - 3y = 4
x = 4 +3y
Putting value of x from [1] in [2]:
0 = 0
Given , system of equation will have infinite solution. Hence consistent and dependent.
The given system of equations will have infinite solutions.
We are given that popularity of television is inversely proportional to its cost.
let us say popularity of television is represented by "P" and cost of television by "T".
We will use a constant "k" to convert the proportionality sign to equal to (=) sign.
Thus forming the equation :
We are given that 15 customers buy a television that cost $1500.
plugging P=15 and T=1500, finding k,
k=15*1500 = 22500
Next we have to find how many customers would buy a television that costs $2500, so here k=22500 and T=2500, plugging this in the equation we have ,
P=9
So there will be 9 customers that buy a television which costs $2500.