Step-by-step explanation:
Given, 3x−2<2x+1
⇒3x−2x<1+2
⇒x<3orx∈(−∞,3)
The lines y=3x−2 and y=2x+1 both will intersect at x=3
Clearly, the dark line shows the solution of 3x−2<2x+1.
Answer:
The length of fencing will be 
Step-by-step explanation:
Step 1
Find the dimensions of the rectangle
we know that
The area of a rectangle is equal to
In this problem we have
so
-----> equation A
-----> equation B
Substitute equation B in equation A
square root both sides
Find the value of b
-----> 
step 2
Find the length of fencing
The perimeter of a rectangle is equal to
we have
substitute
h = 2t - d
multiply both sides by 2 to eliminate the fraction
2t = d + h
subtract d from both sides
2t - d = h ⇒ h = 2t - d
y = 0.22(12) + .99 = 3.63
A 12 minute call will cost $3.63
Answer:
Step-by-step explanation:
Use the point-slope formula.
y - y_1 = m(x - x_1) .... x_1 = 3 and y_1 = - 1
m is the slope to x - 3y = 9 because (lines are parallel )
calculate : m by equation x - 3y = 9 :
x = 3y +9
divid by : 3 1/3 x = y + 3
y = (1/3) x - 3 so : m = 1/3
an equation parallel to x - 3y = 9 that passes through the point ( 3, -1 ) is :
y +1 = (1/3)(x - 3)
