Let's substitute the value of x as 8 in the given equation to find the value of y ~
If you would like to solve - 3 * a^2 - b^3 + 3 * c^2 - 2 * b^3, if a = 2, b = -1, c = 3, you can calculate this using the following steps:
a = 2, b = -1, c = 3
- 3 * a^2 - b^3 + 3 * c^2 - 2 * b^3 = - 3 * 2^2 - (-1)^3 + 3 * 3^2 - 2 * (-1)^3 = - 3 * 4 - (-1) + 3 * 9 - 2 * (-1) = - 12 + 1 + 27 + 2 = 18
The correct result would be 18.
The interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.
<h3>How to Interpret the Slope of a Function?</h3>
The slope of any function is the unit rate or average rate of change of the given function for that situation.
Given the function, E(x) = 130 + 28x, where:
E(x) is the amount an electrician charges per job
130 is the flat rate service which is the starting value or y-intercept
28 is the unit rate or slope, which is the fee charged per hour by the electrician to complete a job.
Thus, the interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.
Learn more about slope on:
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You can find the number of x intercepts by setting f(x) equal to zero giving you 0=x^4-5x^2. You can factor out an x^2 and divide on both sides (when you divide 0 by anything it is still zero so the x^2 disappears), and you are left with 0=x^2-5, which you can solve easily giving you x=+/- sqrt(5). However, the original equation also has an x intercept at (0,0) which you can see by plugging 0 in for x. So the grand total of x intercepts is 3!
<h3>
Answer: Yes it is a function.</h3>
Reason:
There are no repeated x values, so each x input leads to exactly one y output. That's why we have a function.
If we had something like (1,18) and (1,12), then the input x = 1 leading to simultaneous outputs y = 18 and y = 12 would mean we wouldn't have a function.
