Answer:
x = 
, 
Step-by-step explanation:
First, isolate the absolute value:
5|2x - 7| = 20
divide both sides by 5:
|2x - 7| = 4
break into 2 equations:
2x - 7 = 4, 2x - 7 = -4
solve both equations and collect solutions:
2x = 11, 2x = 3
x = ,
Answer:
y = (1/3)x + 4
Step-by-step explanation:
Two points on this line are (0, 4) and (3, 5).
As we move from the first point to the second, x increases by 3 and y increases by 1. Thus, the slope, m, of the line is m = rise / run = 1/3.
Use the slope-intercept equation: y = mx + b.
If we use the data from the point (0, 4), we get:
4 = (1/3)(0) + b, so that b = 4. The desired equation is y = (1/3)x + 4.
Answer:
v = 1/(1+i)
PV(T) = x(v + v^2 + ... + v^n) = x(1 - v^n)/i = 493
PV(G) = 3x[v + v^2 + ... + v^(2n)] = 3x[1 - v^(2n)]/i = 2748
PV(G)/PV(T) = 2748/493
{3x[1 - v^(2n)]/i}/{x(1 - v^n)/i} = 2748/493
3[1-v^(2n)]/(1-v^n) = 2748/493
Since v^(2n) = (v^n)^2 then 1 - v^(2n) = (1 - v^n)(1 + v^n)
3(1 + v^n) = 2748/493
1 + v^n = 2748/1479
v^n = 1269/1479 ~ 0.858
Step-by-step explanation:
The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x = - 3
x = ( - 3 ) : ( - 3 )
x = 1
When x = 0
y = 3 * 0 - 3
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) =
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .
