Answer: The system consists of parallel lines
Step-by-step explanation:
Given system of lines :

Substitute
in
, we get
, which is not true.
That means , system has no solution.
i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]
Answer:
Total no. of houses = 140
Step-by-step explanation:
Let there are 9x flats and 5x bungalows.
Total bungalows = 50
It means,
5x = 50
x = 10
No of flats = 9x
= 9(10)
= 90
Total houses = no. of flats + no. of bungalows
= 50+90
= 140
So, there are 140 houses in the village.
Answer:
4/7x - 5 ________________________________________
To answer the question above, I let x be the number of calendars sold. You may use any other letter as this is just for representation. The total income generated in selling calendars is calculated by multiplying the number of calendars with the price. That is,
total income = 5x
If we let total income be y, our equation is further simplified into,
y = 5x
Answer:
c. -17
Step-by-step explanation:
We have the function f(x) = -2t^2 + 1 and we need to solve for x if f(-3).
Substitute the x in the function with the x in the equation :
f(-3) = -2(-3)^2 + 1
Solve for the answer :
f(-3) = -2(9) + 1
f(-3) = -18 + 1
f(-3) = -17
Therefore, c. -17 is the answer.