Answer:
11.25
Step-by-step explanation:
The equation for a parabola is:
y − k = 1/(4p) (x − h)²
where (h, k) is the vertex and p is the distance from the focus to the vertex.
1/(4p) = 1/45
4p = 45
p = 11.25
The distance from the vertex to the focus is 11.25 inches.
34.9 because its 90 angle so you subtract the 55.1
The number of outcomes available in Boulder and Sarasota will be 4 and 6. Then the total number of outcomes available in Boulder and Sarasota will be 10.
<h3>What are permutation and combination?</h3>
A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a 1- or 2-week stay in a 1- or 2-bedroom suite. In Sarasota, she can choose a 1-, 2-, or 3-week stay in a 2- or 3-bedroom suite, on the beach or not.
The number of outcomes is available in Boulder will be
→ 2 x 2
→ 4
The number of outcomes is available in Sarasota will be
→ 3 x 2
→ 6
The number of outcomes is available in Boulder and Sarasota will be
→ 4 + 6
→ 10
More about the permutation and the combination link is given below.
brainly.com/question/11732255
#SPJ1
The function is y=2x
this means that the solutions will have the form (x, y)=(x,2x).
For example: (0,0),(1,2),(2,4),(3,6) are solutions.
The first answer choice satisfies the above conditions.
The second answer choice contains (2,2), and (2,6), both of which do not satisfy the (x,2x) condition, so it's not correct.
The third answer choice contains (4,2), which again does not satisfy (x,2x), so not the right answer.
Answer:
The minimum number of bicycles that must be produced and sold to break even = 20
Explanation:
The profit generated by producing and selling n bicycles per week is given by the formula:
To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)
Solve the resulting quadratic equation above
This means that, to break even, either 60 or 20 bicycles must be produced and sold
The minimum number of bicycles that must be produced and sold to break even = 20
