Answer:
The correct option is;
There are no solutions
Step-by-step explanation:
From the graph of the inequality, with the y-intercept = 1 and slope = 3 for the blue shaded inequality
The equation is y > 3x + 1
While that of the other red shaded inequality, the slope is 3 and the y-intercept = -3
The equation is y < 3x - 3
Given that the two inequalities are parallel line that their domains do not overlap, we have that there are no solutions as the y-coordinate values of y > 3x + 1 are always larger for a given x-coordinate value than the y-coordinate value of y < 3x - 3.
Answer:
The cost is;
$18.43
Step-by-step explanation:
The general model for a linear equation is;
y = mx + b
let y be the monthly cost in dollars
x is the number of minutes
b will represent the base cost
m is the cost of the call per minute
so let us get m and b
Thus, we have;
18.25 = 31m + b
19.42 = 44m + b
Subtract i from ii
(19.42-18.25) = (44-31)m
1.17 = 13m
m = 1.17/13 = 0.09
To get b, we substitute the value of m in any of the equation
18.25 = 31 m + b
18.25 = 31(0.09) + b
b = 18.25 - 2.79
b = 15.46
so, the equation of the line is;
y = 0.09x + 15.46
Now to get the cost for 33 minutes
simply substitute the value of 33 for x
we have this as;
y = 0.09(33) + 15.46
y = $18.43
First equate 4x+7y=3x,
we get, x+7y=0 ---->equ 1
Now equate 3x=y-2, we get 3x-y=-2 ----->equ2
solve equ 1,2,
We get x= -7/11, y=1/11
The only way this could have an asymptote, either horizontal, vertical, or oblique is if it is a rational function, proper or improper. This function is linear:
y=3x-1 is what it simplifies to and it is a straight line through the y axis at -1 and has a positive slope of 3. There are no asymptotes here. But the y intercept, like I stated, is (0, -1)
Step-by-step explanation:
A = 1/2h(b1 + b2)
2A = h(b1 + b2)
h(b1 + b2) = 2A
h = 2A/(b1 + b2)