Answer:
(4,-2)
Step-by-step explanation:
y - 3x < - 4
-2-3(4) < -4
-2-12 <-4
-14 < - 4
Step-by-step explanation:
this is your answer. make sure that you construct a scale diagram.
Answer:
Step-by-step explanation:
From the table it is clear that the line is passing through the points
(There are many other points in the table and any two of them can chosen as per our convenience)
Equation of line in two point form is given as:

Answer: the fuel efficiency of the first car is 20 miles per gallon.
the fuel efficiency of the second car is 15 miles per gallon.
Step-by-step explanation:
Let x represent the number of miles per gallon of the first car.
Let y represent the number of miles per gallon of the second car.
During one particular week, the first car consumed 20 gallons of gas and the second consumed 15 gallons of gas. The two cars drove a combined total of 625 miles. It means that
20x + 15y = 625- - - - - - - - - - 1
The sum of their fuel efficiencies was 35 miles per gallon. It means that
x + y = 35
Substituting x = 35 - y into equation 1, it becomes
20(35 - y) + 15y = 625
700 - 20y + 15y = 625
- 20y + 15y = 625 - 700
- 5y = - 75
y = - 75/ - 5
y = 15
x = 35 - y = 35 - 15
x = 20
Answer:
Therefore the given equation is a parabolic equation with vertex at (6,255) and the axis of symmetry is given by x = 6.
Step-by-step explanation:
i) f(x) = -(x+9)(x-21)
ii) therefore y = f(x) = -
+ 12x + 189 = - (
- 12x +36) + 36 + 189
iii) therefore y = f(x) = -
+ 225
iv) when x = 6 then y = 255
Therefore the given equation is a parabolic equation with vertex at (6,255) and the axis of symmetry is given by x = 6.