Answer:
y = 1/3x - 2
Step-by-step explanation:
We are asked to find the equation of a line with two points
Step1: find the slope
m = (y_2 - y_1)/(x_2 - x_1)
( 0 , -2) (6 , 0)
x_1 = 0
y_1 = -2
x_2 = 6
y_2 = 0
Insert the values
m = ( 0 - (-2)/ (6 - 0)
m = ( 0 + 2)/(6 - 0)
m = 2/6
m = (2/2)/(6/2)
m = 1/3
Step 2 : substitute m into the equation of line
y = mx + c
y = intercept y
m = slope
x = intercept x
c = intercept
y = 1/3x + c
Step 3: sub any of the two points
Let's pick ( 6 ,0)
x = 6
y = 0
Insert the values into
y = 1/3x + c
0 = 1/3(6) + c
0 = 1*6/3 + c
0 = 6/3 + c
0 = 2 + c
c = 0 - 2
c = -2
Sub c = -2
y = 1/3x - 2
The equation of the line is
y = 1/3x - 2
Answer:
$2587.87 per month
Step-by-step explanation:
The listed deductions are ...
- 25% withheld for federal income tax
- 9.3% withheld for California state income tax
- 6.2% withheld for Social Security tax
- 1.45% withheld for Medicare Tax
- 0.9% withheld for SDI- Disability Insurance
- 5% goes into her retirement 401K account
- $150 goes to health insurance/ dental for her family
The percentages have a total of ...
25 +9.3 +6.2 +1.45 +0.9 +5 = 47.85 . . . percent
So, Christine's take-home pay is ...
$5250(1 -0.4785) -150 = $2587.87 . . . per month
I'm just going to give the answers snce so many questions
1. 2
2. 2/(m^2)
3. 1/(16x^8)
4. 3x^4
steps one: the one that starts with squareing both sides (√5x-9)^2=4^2)
23. x=9
24. 0
last graph one: third one (one that starts at 2 up from the origin)
Answer:
Let L be the length of the rectangle and w be the width of the rectangle.
"The lenght of a rectangle is one less than twice the width" means L=2W-1
Using perimeter formula of a rectangle which is P=2(L+W) you have:
P=2(L+W)
130=2(2W-1+W)
Solve equation above to find W
130=2(3W-1)
130=6W-2
130+2=6W
132=6W
W=22
From here you find L=2W-1=2x22-1=43
Only thing left is to find area A=LxW
Answer:
10.2
Step-by-step explanation:
3.40 * 3 = 10.2
