Answer:

General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (40, 3000)
Point (60, 4000)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract:

- Divide:

1 ) Billy walks 15 miles every day to soccer practice and he had 5 practices last week.
We know that, 1 mile = 1760 yards
So, 15 miles = (15× 1760) yards = 26400 yards
Thus the total distance walked in 5 practices will be: 
2) Mark's current age is
years
So, his age was in 10 years ago 
Given that, his current age is 3 times his age 10 years ago.
So, the equation to represent this situation will be : 
(-1,5)(1,9)
slope = (9 - 5) / (1 - (-1) = 4 / (1 + 1) = 4/2 = 2
y = mx + b
slope(m) = 2
use any of ur points in the table....(1,9)...x = 1 and y = 9
now we sub ad find b, the y int
9 = 2(1) + b
9 = 2 + b
9 - 2 = b
7 = b
so ur equation of the table is : y = 2x + 7.....where the slope = 2 and the y intercept = 7
so, the equation with the greater slope and the greater y int is :
y = 3x + 7.5....this has a slope of 3 and a y int of 7.5
Answer:
The function touches the damping factor
at x=
and x=
The x-intercept of f(x) is
at x=
Step-by-step explanation:
Given function is f(x)=
and damping factor as y=
and y=
To find when function touches the damping factor:
For f(x)=
and y=
Equating the both the equation,


x=
For f(x)=
and y=
Equating the both the equation,


x=
Therefore, The function touches the damping factor x=
and x=
To find x-intercept of f(x):
For x-intercept, y=0
f(x)=
y=

Hence,
is always greater than zero.
Therefore,
x=
Thus,
The x-intercept of f(x) is at x=
Answer:
OPTION C
Step-by-step explanation:
IN OPT. A- 2 IS MULTIPLED IN EACH NO.
IN OPT.B-2 IS MULTIPLED
IN OPT.D-1 IS ADDED
IN OPT.E-2 IS ADDED