Answer:
A.)
Step-by-step explanation:
Translations are as follows: Up is + on Y axis, down is - on Y axis. Right is + on X axis and left is - on X axis.
The function f(x) = x+8 is translated to (0,8) since their is no number in a bracket with x (example: f(x)= (x-2)+5 would be (2,5) since the X axis is taken as the opposite sign).
g(x) = x-3 translates to (0,-3) which is 11 units down from f(x)
You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:
Parallel: x = 2
Perpendicular: y = -2
In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.
Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.
The best way is to check all answers. lets check answer A first.
Take the equation y > -3x +3 and substitute 2 for x and -5 for y.
(-5)> -3(2) + 3
-5 > -6 + 3
-5 > -3
we know this is not true so A is not the answer. because it is an invalid solution.
Lets check B
(-2)>-3(5) + 3
-2 > -15 +3
-2 > -12
we know this is true so it is a valid solution Now we have to check the other equation with the same point.
y> x +2
5> (-2)+2
5> 0
we know this is true so its a valid solution.
This means B the correct answer.
You would take 8.50 and divide it by 12.
to get $0.71
Answer:
if theres four friends and they share the whole gallon equally then each friend would get a quart of lemonade
Step-by-step explanation:
