4 3/4 - 2/5
Find a common denominator
4 15/20 - 8/20
Solve
4 7/20
The plank is 4 and 7/20 feet long now.
Answer:
y = 2/3x +6 for x< -3
y = 2/3x +1 for x> 3
Step-by-step explanation:
The graph is a line for x < -3
( - 6,2) and ( -3,4)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point ( -6,2)
y -2 = 2/3(x - -6)
y -2 = 2/3(x +6)
y-2 = 2/3 x +4
y = 2/3x +6 x< -3
The graph is a line for x > 3
(3,3) and ( 6,5)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 5-3)/(6-3) = 2/ (3) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point (6,5)
y -5 = 2/3(x - 6)
y-5 = 2/3 x -4
y = 2/3x +1 x> 3
<span>There are 52 weeks in a year. Being paid biweekly means being paid every other week, or 26 times a year.
$567.20 * 26
There are 12 months in a year. If Mary is paid semimonthly, she is paid twice a month, or 24 times a year.
$56,780 / 24</span>
9514 1404 393
Answer:
g(x) = 3x^2 -2
Step-by-step explanation:
Reflection in the y-axis replaces x with -x.
g(x) = f(-x) = 3(-x)^2 -2
g(x) = 3x^2 -2
_____
The given function is symmetrical about the y-axis, so its reflection is itself.