Consider the equation of parabola \mathrm{y}=5\mathrm{x}^{2}-30\mathrm{x}+45y=5x
1 answer:
From the graph of the parabola y = 5x² - 30x + 5 shows the vertex is located at (3, -40)
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more numbers and variables.
A quadratic equation is in the form:
y = ax² + bx + c
Where a, b and c are constants.
If b² - 4ac > 0, then the equation have exactly two different integer solutions.
Given the equation:
y = 5x² - 30x + 5
From the graph of the parabola y = 5x² - 30x + 5 shows the vertex is located at (3, -40)
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Answer:
Part A: 15
Part B:
Point slope form:
Slope intercept form:
Standard Form:
Part C:
Part D: 505
Step-by-step explanation:
We are given the following
x g(x)
5 $400
10 $475
We can see that these are two points on the line.
i.e. (5, 400) and (10, 475)
OR
<u>Part A: </u>Slope of the function:
So, slope of the line = 15
<em>It has a positive slope and the function will be increasing with the increasing value of 'x'.</em>
<em></em>
<u>Part B:</u>
Point slope form of a line is given as:
Putting :
Slope intercept form:
where c is the intercept.
Putting (x,y) as (5, 400) to find c:
So, the equation in slope intercept form:
Standard form of line:
Rewriting the slope intercept form:
<u>Part C:</u>
Using the function notation, putting y = g(x) in slope intercept form:
<u>Part D:</u>
Balance after 12 days = ?
i.e. g(x) = ? at x = 12
Putting x = 12 in