<em><u>The equation of the graphed function is;</u></em>
f(x) = -3/[(x + 3)(x - 2)]
- From the given graph, we see that the vertical assymptotes are at x = -3 and x = 2.
This means that at values of x = -3 or x = 2, the denominator becomes zero and the function becomes undefined.
- This means that, -3 and 2 are roots of the denominator. Thus, the equation of the denominator is;
(x + 3)(x - 2)
- Now,we see that the y-intercept is (0, 0.5). This means that when x = 0, y = 0.5.
- Let the numerator of the equation of the function be named a.
Thus, we have;
f(x) = a/((x + 3)(x - 2))
At (0, 0.5), we have;
0.5 = a/((0 + 3)(0 - 2))
0.5 = a/(-6)
Multiply both sides by -6 to get;
-3 = a
- Thus, the equation of the function is;
f(x) = -3/((x + 3)(x - 2))
Read more at; brainly.com/question/14829729
Answer:
x - intercept = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3 and c = 3, thus
y = - 3x + 3 ← equation of line
The x- intercept has a y- coordinate of zero.
let y = 0 in the equation and solve for x, that is
- 3x + 3 = 0 ( subtract 3 from both sides )
- 3x = - 3 ( divide both sides by - 3 )
x = 1 ← x- intercept
Analyzing the given values and the given equation, we have the following:
A = $25,000
r = 0.11
t = 6
The equation has the form:
y = A (1-r)^t
Plugging in the given values into the equation,
y = $25,000 (1 - 0.11)^6
y = $25,000 (0.89)^6
Therefore, the answer is
A. y=25,000(.89)^6
Answer:
The image of the point is (-27, 6)
Step-by-step explanation:
<em>Let us talk about the dilation</em>
- Dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change.
- The scale factor of dilation measures how much larger or smaller the image will be. If the scale factor greater than 1, then the image will be larger. If the scale factor between 0 and 1, then the image will be smaller
- If the point (x, y) is dilated by scale factor k and the center of dilation is the origin, then its image will be (kx, ky)
∵ Point (-9, 2) is dilated by a scale factor 3
∴ k = 3
∵ The center of dilation is the origin
→ Multiply the coordinates of the point by 3 to find the image
∴ The image = (3 × -9, 3 × 2)
∴ The image = (-27, 6)
The image of the point is (-27, 6)
Answer:
Tinsley would need to get up at 5:45 am
Step-by-step explanation:
