Answer:
y ≥ 2
Step-by-step explanation:
The range is all of the values that f(x) can have. In order to find the range, let's first find the vertex. That's pretty easy to do since f(x) is already written in vertex notation (vertex notation is f(x) = a(x - c)² + d where (c, d) is the vertex). Since c = -5 and d = 2, the vertex is (-5, 2). Because the value of a is positive (a = 3 in this case, which is positive) we know that the parabola opens upward, therefore the vertex is the minimum. This means that the y-coordinate of the vertex is the smallest possible y-value of the function, therefore, since the y-coordinate of the vertex is 2, the range is y ≥ 2. Note that we use ≥ and not >, this is because y can be 2, therefore, it is included in the solution set.
The answer to your question would be B.
I hope this helped:D
Answer:
The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats
Step-by-step explanation:
The given parameters can be summarized as:
Where: x = Soybeans and y = Oats.
So, the system of equations are:
The best way to solve this, is using graph
Plot the following equations on a graph, and get the points of intersection:
From the attached graph, we have:
Substitute each of the values of x's and y's in the cost function to get the minimum cost:
The values of x and y that gives the minimum cost is:
and the minimum cost is:
Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats
$4 - $2.50 = $1.50 profit for each seat sold
$300 profit when sold out / $1.50 per seat
= 200 seat cushions made
Answer: 323
Step-by-step explanation:
The formula to calculate the sample size for proportion is given by :_
Given : Significance level :
Critical value :
Margin of error :
The proportion of successes :
Now, the required sample size will be :-
Hence, the minimum required sample size = 323