Answer:
Step-by-step explanation:
a.) When you have the following equation
To find the vertex you take the h value, change its sign (to positive in this case) and that will give you the x value. To find the y-value just take the z. This gives us (15,-100)
b.) The axis of symmetry is just the x value of the vertex which is 15
c.) I'm not too sure what this means but can tell you that it's concave up because there's no way x can be negative
d.)Because the a value is positive that means that the graph is concave up which means that it has a minimum. The minimum is just the y value of the vertex which is just -100
e.) I'm going to write this in interval notation. The domain is all the possible x values of the graph which is all real numbers or (-∞,∞). The range is all the possible y values. We know that the minimum is -100 which means all the possible y values are [-100,∞)
f.) This is obviously a parabola and because the graph is concave up and has a negative minimum there must be 2 x intercepts.
The ratio between the amount of blue and yellow paint needed to make green paint is 2: 3.
That is, for every 2 liters of blue paint you need 3 liters of yellow paint.
In the same way, for every 4 liters of blue paint, 6 liters of yellow paint are needed.
Then, to continue filling the table, you must consecutively sum 2 liters of blue paint and 3 liters of yellow paint in the corresponding column. This will increase the amount of green paint by a factor of 5 liters.
The same procedure is followed until 45 liters are summed to the green paint column. Then, the data in that row will indicate how much blue and yellow paint is needed:
18 liters of blue paint
27 liters of yellow paint
To verify the result divided 18/27
The result should be 0.6667 = 2/3, which is the ratio sought
Plese tell the complete question
4(9x + 11) + 5(3x + b) = ax + 9
(36x + 11) + (15x + 5b) = ax + 9
36x + 11 + 15x + 5b = ax + 9
51x + 5b + 11 = ax + 9