barons "A salad bar has 7 ingredients, excluding the dressing. How many different salads are possible where two salads are diffe
1 answer:
Answer: 128
Step-by-step explanation:
Given : Total ingredients =7
When we select any one of ingredient for salad, then total choices for each ingredient = 2 (Yes or No)
So for all 7 ingredients there will be choices [By fundamental principle of counting]
Hence, there are 128 different salads are possible where two salads are different if they don't include identical ingredients
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The cost function is an illustration of a linear function
The equation of the cost function is C(x) = 35 + 0.5x
The given parameters are:
-- the cost of renting a cooler
--- the rate per bottle
Assume the number of bottles in a cooler is x.
The cost function for the bottles in a cooler would be:
So, we have:
Evaluate the products
Hence, the equation is
Read more about linear functions at:
Answer:
a) The axis of symmetry is the line, y = 2
b) The vertex of a parabola is (-3, 2)
c) The focus of the parabola is (0, 2)
d) The directrix of a parabola is, x = -6
e) Please find attached the graph of the parabola
Step-by-step explanation:
a) The function for the parabola can be expressed as follows;
12·(x + 3) = (y - 2)²
The general form of the equation of the parabola is x = a·(y - k)² + h
The axis of symmetry is the line, y = k
By comparison, with the given equation of the parabola, we have;
12·(x + 3) = (y - 2)²
x = (1/12)·(y - 2)² - 3
Therefore;
a = (1/12), k = 2, h = -3
The axis of symmetry is y = k
∴ The axis of symmetry is the line, y = 2
b) The vertex of a parabola = (h, k)
∴ The vertex of a parabola = (-3, 2)
c) The focus of a parabola is
Therefore, the focus of the parabola is = (0, 2)
The focus of the parabola = (0, 2)
d) The directrix of a parabola is
The directrix of a parabola is, x = -6
e) Please find attached the graph of the parabola, showing the vertex, focus, directrix, and axis of symmetry, created with Microsoft Excel
