Answer:
The correct answer is:option A and B
Step-by-step explanation:
A researcher is studying and examining psychological factors in academic achievement amongst teenage boys. One of the variable he is particularly paying more attention is in determination.
The quantifying of variability for the variable determination suggests how stretched out are the values for determination amid teenage boys (do all boys that are still in their teenage years have the same determination) and how constant are the values of determination amid teenage boys.
The function given is a quadratic function, so the graph will be a parabola. It'll look similar to the photo attached. The minimum cost will be at the vertex of the parabola because that is its lowest point! To find the x-value of the vertex (which is what the question is looking for), use the vertex formula: x = -b/2a. The variable b is the coefficient of the x term in the function, and the variable a is the coefficient of the x² term. In this case, a = 0.125 and b = -5.
x = -(-5)/2(0.125)
x = 5/0.25
x = 20
So, 20 gas grills should be produced each day to maintain minimum costs. Hope that helps! :)
Answer:
A. (3, 10)
Step-by-step explanation:
You are told that ...
(x, y) = (number of accessories, dollars)
and you are told that ...
number of accessories = 3
dollars = 10
so the ordered pair is ...
(x, y) = (3, 10) . . . . Point A
Let x = the number of marbles for Phil
Then 3x = the number of marbles for Peter
Together they have 3x+x=48 or 4x=48 and x=12
So Phil has x = 12 marbles and Peter has 3x, let x = 12, 3(12) = 36 marbles.
Peter has 24 more marbles than Phil.
Actually,
I think the question should be, "In what range(s) of x-values must
there be a root of the POLYNOMIAL?"
Unless you are working with some real strange maths, polynomials are
smooth and continuous. If you drew a smooth and continuous line through
the points in the graph, where would the line have to cross the x-axis?
