Answer:
Domain: 1 ≤ x ≤ 4
Range : 1 ≤ f(x) ≤ 4
Step-by-step explanation:
The domain of a function f(x) is the limit within which the values of x varies.
Here, in the graph, it shows that the maximum value of x is 4 and the minimum value of x is 1.
Therefore, the domain of the function is 1 ≤ x ≤ 4
Again the range of a function f(x) is the limit within which the values of f(x) vary.
Here, the graph shows that the maximum value of f(x) is 4 and the minimum value of f(x) is 1.
Therefore, the range of the function f(x) is 1 ≤ f(x) ≤ 4. (Answer)
The 2-point form of the equation of a line can be written as ...
... y = (y2-y1)/(x2-x1)·(x -x1) +y1
For your points, this is ...
... y = (1-5)/(3-6)·(x -6) +5
... y = (4/3)(x -6) +5
It can also be written as
... y -5 = (4/3)(x -6)
Answer:
Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>
Step-by-step explanation:
Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.
Given:
4 coffees and 12 lattes cost $61.
12 coffees and 7 lattes cost $59.75.
∵ 1 coffee cost =
∴ 4 coffees cost = and 12 coffee cost =
∵ 1 latte cost =
∴ 12 lattes cost = and 7 lattes cost =
Now, as per question:
Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,
Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,
Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.
Answer:
Step-by-step explanation:
y - 9 = 3(x - 0)
y - 9 = 3x - 0
y = 3x + 9
Answer:
x=-2, y=-6
Step-by-step explanation:
Simple substitution.
Since y is isolated in one of the equations already, you can plug it into the second equation.
x - 2(3x) = 10
x - 6x = 10
-5x = 10
x = -2
Sub. x = -2 into 3x = y:
3(-2) = y
y = -6