Answer:
The nth term is 109-9n
Step-by-step explanation:
Here, we want to find the nth term of the given arithmetic sequence
Mathematically, we have the nth term as;
Tn = a + (n-1)d
where a is the first term which is 100 in this case
d is the common difference which is the value obtained by subtracting the preceding term from the succeeding term; it is constant throughout the sequence
The value here is thus;
82-91 = 91-100 = -9
Substituting these values
Tn = 100 + (n-1)-9
Tn = 100 -9n + 9
Tn = 100 + 9 - 9n
Tn = 109-9n
Answer:
2. (-2)(4)
Step-by-step explanation:
Answer:

Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: 
Given points: (3, -7), (7, 2)
(3, -7) = (x1, y1)
(7, 2) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:

Simplify:
2 - (-7) = 2 + 7 = 9
7 - 3 = 4

The slope is
.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:



The y-intercept is
.
Now that we know the slope and the y-intercept, we can write the equation:

Answer:
46% of Xander's friends prefer to stay home on Friday nights.
Step-by-step explanation:
Formula

As given

i.e
Zanders friends prefer to stay home on Friday night = 23
Total numbers of Zanders friends are 50.
Part value = 23
Total value = 50
Put in the formula


Percentage = 46%
Therefore 46% of Xander's friends prefer to stay home on Friday nights.
3*-3^2+5*-3-14
3*-9+(-15)-14
-27+-15-14
-42-14
-56