Answer:
The situation you are describing can be written as y=2x, or in this case t=2f, for every fragrance purchased there are 2 ounces of lotion that are given. Since the ounces of fragrance are not shown in this question, we can only make the graph on the ounces of lotion for every fragarance purchased. The points of the graph represent that for every fragrance bought, there is twice the amount of that in ounces of lotion. In summary, the rule is t=2f where t would equal purchases of fragrance and f would equal the ounces of lotion.
(If there is any more you would like to add to the question I can answer that.)
Answer:
Step-by-step explanation:
r = 0.9 m
h = 3.6 m
Area of two circle faces combined: 2*π(0.9)^2 = 1.62π
Lateral area = circumference*height = 2π(0.9)(3.6) = 6.48π
Surface Area = 1.62π + 6.48π = 8.1π m sq.
Answer:
(a) The slope of f(x) is greater than the slope of g(x)
(b) f(x) has a greater y intercept
Step-by-step explanation:
Given
Solving (a): Compare the slopes
The slope (m) of f(x) is calculated as;
This gives:
Substitute values for f(0) and f(1)
The slope of g(x) can be gotten using the following comparison
So:
Solving (b): Compare the y intercept
y intercept is when 
From the table of f(x)
From the equation of g(x)
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Answer:
B) 25.82%
Explanation:
This equation will be in the form
,
where a is the initial value, x is the number of time periods and r is the annual rate of growth.
We know the initial value, a, is 0.12.
We know that x, the amount of time, is 2014-1969 = 45.
We know that y, the total value, is 3700.
This gives us the equation
Divide both sides by 0.12:
To find this, we must next take the 45th root. This is the same as raising to the power of 1/45:
Subtract 1 from each side:
1.2582-1 = 1+r-1
0.2582 = r
To convert this to a percent, multiply by 100:
0.2582(100) = 25.82%
Answer: One unique solution.
Step-by-step explanation:
When we have a system of linear equations like:
y = a*x + b
y = c*x + d
We have 3 possibilities:
1) There is only one solution, this happens when in the graph, the lines intersect at only one point.
2) There is no solution, in this case, the lines never intersect, this would be the case of two parallel lines.
3) We have an infinite number of solutions, this happens when both lines intersect in an infinite number of points, and this can only happen when both lines are the same line.
In this case, we know that we have two lines and they intersect in only one point, (-1, 2)
Then we have only one solution, and the solution is (-1, 2)
