Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,
y = mx + b
where m is slope and b is the y-intercept.
Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2
A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1
B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2
C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2
D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2
Hence, the answers to this item are A and D.
There is only 1 real number solution
First you need to find the amount for each of the items, then total it up:
T-shirts> 9.50 x 2 = 19
Socks> 7.95 x 3 = 23.85
Shoes> 49.95
Total: 19 + 23.85 + 49.95 = $92.80
Next find the tax:
(to find the taxes you multiply the total by the percent)
92.8 x 0.06 = 5.57
-- then add the amount to your item total
92.8 + 5.57 = 98.37
~OR~
You could multiply the item total by 1.06 so that you wouldn't have to add to taxes to the previous total because it is already part of the equation
92.8 x 1.06 = 98.37
Answer:
m<S = 45°
Step-by-step explanation:
The sum of the measures of the angles of a triangle equals 180 deg.
m<R + m<S + m<T = 180
3x + 2x + 3x = 180
8x = 180
x = 22.5
m<S = 2x = 2(22.5) = 45