at a local grocery store apples cost $0.50 each and bananas cost $0.30 each. the expression 0.50x+0.30y can be used to find the
2 answers:
Answer: The x and y represents the number of bought apples and bananas respectively. The coefficients represents the cost of each apple and banana.
Explanation:
It is given that at a local grocery store apples cost $0.50 each and bananas cost $0.30 each. the expression 0.50x+0.30y can be used to find the cost of buying some apples and bananas.
Let the number of apple purchased be x and number of banana purchased be y.
The cost of each apple is $0.50. So, the cost of purchased apple is 0.50x.
The cost of each apple is $0.30. So, the cost of purchased apple is 0.30y.
The total cost is the sum of cost of apples and cost of bananas.
It is same as the given equation.
So, the x and y represents the number of purchased apples and bananas respectively. The coefficients represents the cost of each apple and banana.
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There are no algebraic methods for finding solutions to a general mix of exponential and polynomial terms. A graphing calculator can be helpful.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.