Given:
The graph of a parabola.
To find:
The domain, range and check whether it is a function or not.
Solution:
Domain: The set of x-values or input values is known as domain.
Range: The set of y-values or output values is known as range.
A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.
Vertical line test: Each vertical line intersect the graph at most once.
The given function is defined for all real values of x which are greater than or equal to -3. So, the domain of the given graph is:
The given function values can be any real number. So, the range of the given graph is:
For x=0, we have two values of the function because the graph intercept the y-axis at two points.
Since the graph does not pass the vertical line test therefore the given graph is not a function.
A diagram must be associated with the question above. Based on what I researched, this is what I got.
The blue sector of the circle is 120 degrees.
area of the blue sector = 1/3 of pi * 2^2
= 4.19cm2
I hope this answer helps.
Answer: The company must sold 382 units to break even.
Step-by-step explanation:
Hi, there is no question asked, so I suppose that you need to find the number of items (x) to break even.
To answer this question we have to equal both sides of the equations:
Since costs equal its income:
C=R
So:
38x +19100= 88x
Solving for x
19100= 88x-38x
19100=50x
19100/50 =x
382=x
The company must sold 382 units to break even.
Feel free to ask for more if needed or if you did not understand something.
Answer:
1) a = -⅙, b = ⅙, c = 1
2) 6 units
Step-by-step explanation:
1) f(x) = ax² + bx + c
Given the roots, we can write this as:
f(x) = a (x + 2) (x − 3)
We know that f(13) = -25, so we can plug this in to find a:
-25 = a (13 + 2) (13 − 3)
-25 = 150a
a = -⅙
Therefore, the factored form is:
f(x) = -⅙ (x + 2) (x − 3)
Distributing:
f(x) = -⅙ (x² − x − 6)
f(x) = -⅙ x² + ⅙ x + 1
Graph: desmos.com/calculator/6m6tjoodvb
2) Volume of a right prism is area of the base times the height.
V = Ah
The base is an equilateral triangle. Area of a triangle is one half the base times height.
V = ½ ab h
The height of the triangle is the same as the height of the prism.
V = ½ bh²
In an equilateral triangle, the height is equal to half the base times the square root of 3.
V = ½ b (½√3 b)²
V = ⅜ b³
Given that V = 81, solve for b.
81 = ⅜ b³
216 = b³
b = 6
18×4=72 :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) your wecome
