Answer:
production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.05x^2 − 7x + 300
2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58
3) Comparison: do a table for f(x) with the same x-values of the table for g(x).
x f(x) = 0.05x^2 − 7x + 300 g(x)
0.6 295.818 899.58
0.8 294.432 899.52
1 293.05 899.50
1.2 291.672 899.52
1.4 290.298 899.58
As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.
The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).
Answer: Based on the given information, the minimum production cost for company 2 is greater.
Step-by-step explanation:
The obtained transformed data will show a linear relation when you graph log(y) vs x
This is the mathematical demonstration:
Exponential function: y= A (B)^x
log(y) = log A + x log B
log(y) = log A + (logB)x
log A is a constant and is the vertical axis-intercept
logB is a constant and is the slope of the graph
x is the independent variable
log A is a constant,
Answer:It would be 5,2 (Or C)
Step-by-step explanation:
Answer:
Let the G represent the Girl child
and, B represents the Boy child.
Then Sample Space = {BGG, GBG, GGB, BBG, BGB, GBB, BBB, GGG}
Thus, There are 8 sample space.
Then, Probability that couple have 1 boy = {BGG, GBG, GGB}
= 3 ÷ 8 = 0.375
Probability that couple have 2 boys = { BBG, BGB, GBB}
= 3 ÷ 8 = 0.375
Probability that couple have 3 boys = {GGG}
= 1 ÷ 8 = 0.125
First, we solve for the equation of the line using the two-point formula:
(y - y1) / (x - x1) = (y2 - y1) / (x2 - x1)
The coordinates are:
(1,-1)
(3,0)
(y - (-1)) / (x - 1) = (0 - (-1)) / (3 - 1)
y = 0.5x - 1.5
Since the line is dotted, it's a strict inequality and since the portion below the line is shaded, we use the inequality, less than.
y < 0.5x - 1.5
In standard form:
x - 2y > 3
The answer is the first option.
