Answer:
x=0
Step-by-step explanation:
Solve for x.
5(x - 3) + 4(x + 3) = 3(x - 1)
Distribute
5x -15 +4x +12 = 3x-3
Combine like terms
9x -3 = 3x-3
Add 3 on each side
9x -3+3 = 3x-3
9x = 3x
Subtract 3x from each side
9x-3x = 3x-3x
6x =0
Divide by 6
6x/6 = 0/6
x=0
Answer:
$839.95
Step-by-step explanation:
Sales tax = 7 % × cost
Sales tax = 0.07 × 785
Sales tax = $54.95
=====
Cost = price + sales tax
Cost = 785 + 54.95
Cost = $839.95
The cost to purchase is $839.95.
.3455 is the correct answer.
Answer:
y = 148
Step-by-step explanation:
First, we use the point-slope form of the equation of a line to find the equation of this line.
y - y1 = m(x - x1)
y - 4 = 6(x - 3)
y - 4 = 6x - 18
y = 6x - 14
Now we let x = 27 and find y.
y = 6(27) - 14
y = 162 - 14
y = 148
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:

We find the slope of the line:

Thus, the equation of the line is of the form:

We substitute one of the points and find b:

Finally, the equation is:

Answer:
