Kevin drove 95 miles to meet his friend Amanda at an

x    y
1     290
2    280
3    270
4    260
5    250
6    240
7    230
8    220
9    210
10  200
11    90
12  180
13  170
14  160
15  150
16  140
17  130
18  120
19  110
20 100
21    90
22   80
23   70
24   60
25   50
26   40
27   30
28   20
29   10
30   0

# of guests   waitstaff gratuity
10                      18
20                      36
30                      54
40                      72
50                      90

<span>If the gratuity changes directly with the number of guests, which formula outlines the connection between the gratuity, t, and the number of guests, g? 
t = 1.8g t = g/18 g = 1.8t g = t/18
</span>
18/10 = 1.8
36/20 = 1.8
54/30 = 1.8

direct variation: <span>t = 1.8g</span>

Answer:

The correct option is:

On the coordinate plane, there is a parabola that opens upwards, passing through the points (2, 10), having its vertex at (5, 1), and intersecting (8, 10).

Step-by-step explanation:

Initially, we must understand the translation rules

1) {f(x) + a} signifies f(x) moved up by (a) units

2) {f(x) – a} means f(x) moved down by (a) units

3) {f(x + a)} represents f(x) moved left by (a) units.

4) {f(x – a)} indicates f(x) moved right by (a) units.

Given information:

f(x) = x²

g(x) = (x-5)² + 1

By comparing the transformation from f(x) to g(x) with the translation rules

It can be concluded that g(x) represents f(x) through a translation of 5 units to the right and 1 unit upwards (rules 1 and 4)

Refer to the attached image, which illustrates the graphs of both f(x) and g(x)

As depicted, g(x) intersects (2, 10), has a vertex at (5, 1), and crosses through (8, 10)

Answer:

A scale transformation that contracts and is subsequently followed by a reflection.

Step-by-step explanation:

A contraction with a scale factor less than 1, followed by a reflection, constitutes the combination of similarity transformations that maps polygon ABCD to polygon A'B'C'D.

Response:

The problem is summarized in the following explanation segment.

Detailed explanation:

The estimate of the slots or positions lost due to simultaneous transmission attempts can be calculated as follows:

Evaluating the likelihood of transmitting gives us "p".

When considering two or more attempts, we arrive at

Fraction of slots wasted,

=

Substituting the values yields

=

=

Thus, the answer appears to be correct.