Answer:
Step-by-step explanation:
Given:
Focus point = (-5, -4)
Vertex point = (-5, -3)
We need to find the equation for the parabola.
Solution:
Since the x-coordinates of the vertex and focus are the same,
so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.
The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.
Substitute y = -4 and k = -3.
So the standard form of the parabola is written as.
Substitute vertex (h, k) = (-5, -3) and p = -1 in the above standard form of the parabola.
So the standard form of the parabola is written as.
Therefore, equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)
Answer:
.........................................
Step-by-step explanation:
.........................................
Find x-intercept and y-intercept then you can draw the graph.
For example, the first question.
To find the y-intercept, x = 0
So substitute x = 0 in the equation.
[Note]: You don't need to find the y-intercept, because from,
a is slope and b is y-intercept, you know b then you know y-intercept. For example b = 2 then y-intercept is at 2.
To find the x-intercept, y = 0
Therefore, y-intercept = 2 and x-intercept = 2/3
(Try do another problems, just do the same. When you want to find the y-intercept, just look at the value of b or substitute x = 0 and When you want to find the x-intercept, just substitute y = 0 then solve for x.)
Answer:
$51.84
Step-by-step explanation:
The first step is to take the 20% off of the shoes. To do so, find 20% of 60. 0.20 (20% written as a decimal) * 60 = 12. Subtract 12 from 60 because the shoes are 20% OFF. 60 - 12 = 48.
Now, we must determine the price after sales tax. The sales tax is 8%. So, find 8% of 48. 0.08 (8% as a decimal) * 48 = 3.84. Then, add 3.84 to 48 because sales tax is an addition to the price. 48 + 3.84 = 51.84.
Now, add the label to have your final answer. The shoes cost $51.84.