Last year at Sarah's bakery she sold 38 birthday cakes for $57 per cake . She spent 1/2 of that money on ingredients for baking
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Hi there!
The general formula of A line in slope-intercept form is the following:
In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1
Multiply first.
And finally add 1 1/5 to both sides of the equation.
We can now switch sides.
Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
The general formula of A line in slope-intercept form is the following:
In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1
Multiply first.
And finally add 1 1/5 to both sides of the equation.
We can now switch sides.
Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
You can solve this in two ways.
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>