Answer:
7
Step-by-step explanation:
A coefficient is the number before a variable (x, y, z...etc).
In line one she forgot to multiply 4 on the left side by -1
320=30+15s
290=15s
S=19.33
S=19
19 student tickets.
Answer:
x=2,3
Step-by-step explanation:
(x- 2) (x - 3) =0
Using the zero product property
x-2 =0 x-3 =0
x-2+2=0+2 x-3+3 =0+3
x=2 x+3
The absolute value is how far away a number is from the number line, so it is always positive. If Carlos finds the opposite of the absolute value, that means he found the negative version. So Jason's final value will be greater.
Answer:
x = -2 or -9
Step-by-step explanation:
You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).
<h3>Slope</h3>
The slope of a line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the formula, the slopes of the two lines are ...
m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)
and
m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)
<h3>Perpendicular lines</h3>
The slopes of perpendicular lines have product of -1:

<h3>Solutions</h3>
The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.