Graph the line using the slope and y-intercept, or two points.
Slope:
2
3
2
3
y-intercept:
(
0
,
−
4
)
(
0
,
-
4
)
x
y
0
−
4
3
−
2
Answer:
y - 14.95 = 18.075(x-1)
Step-by-step explanation:
If an internet company charges $14.95 per month and a setup fee, then we can say
1 month = $14.95
If the total cost for 9 months is $159.55
Then we can write both cases as a coordinate (1, 14.95) and (9,159.55)
The equation of a line in point slope form is expresses as
y-y0 = m(x-x0)
Find the slope m
m = 159.55-14.95/9-1
m = 144.6/8
m = 18.075
Substitute m = 18.075 and any of the coordinate in the equation to have;
Using the coordinate (1, 14.95)
y - 14.95 = 18.075(x-1)
Hence a linear equation in point-slope form that model the situation is y - 14.95 = 18.075(x-1)
Answer: x=2
Step-by-step explanation:
Expand.
32−8x=7x+2
Add 8x to both sides.
32=7x+2+8x
Simplify 7x+2+8x7x+2+8x to 15x+215x+2.
32=15x+2
Subtract 22 from both sides.
32−2=15x
Simplify 32−2 to 30.
30=15x
Divide both sides by 15.
30/15=x
Simplify 30/15 to 2
2=x
Switch sides.
x=2
Answer:
-24.1t^2+3
Step-by-step explanation:
x | y
——-
-10|-18
-9 |-17
-8 |-16
-7 |-15
-6 |-14
-5 |-13
-4 |-12
-3 |-11
-2|-10
-1 | -9
0 | -8
1 | -7
2 |-6
3 | -5
4 | -4
5 | -3
6 | -2
7 | -1
8 | 0
9 | 1
10| 2