The answer to your problem is A due to the slope of your line being -1/3x.
You can find this slope by picking two points on your graph [i.e. (-1,3) and (0,0)].
Find the difference between the two points, which is a one for the x value and a three for the y values. Now you have a slope of 1/3.
But wait! The slope is downwards, therefore a negative must be applied to your slope.
This provides you with a slope of -1/3x, therefore:
y = -1/3x
Answer: C) Contrapositive
The original conditional is in the form "If P, then Q"
The contrapositive is in the form "If not Q, then not P"
You flip the order of P and Q, and you also negate each piece. The original conditional and contrapositive can be proven to have the same truth values through the use of a truth table.
Answer:
$624
Step-by-step explanation:
48 x 13
Answer:
26
Step-by-step explanation:
because look at the tail
The slopes of the original function y = |x| are m = 1 and m = -1 (m is the variable used to represent slope).
when you add a coefficient (number) in front of |x|, it will either make the slopes steeper or more flat. the larger the value of the coefficient, the steeper the slope will be (vice versa for a coefficient smaller than 1, which would make the slope more flat than the parent(original) function).
because these are absolute value functions, they will have two slopes. one slope for the end going up from left to right, and one for the end going down from left to right. this means that one slope must be positive and the other slope must be negative for each function.
with this in mind, the slopes of y = 2|x| are m = 2 and m = -2. the coefficient of 2 narrows the function by a factor of 2 (it is twice as narrow as the parent function). the same rules apply to y = 4|x| with the slopes of this function as m = -4 and m = 4 (it is 4 times narrower than the parent function).
with the fraction coefficients, the function is being widened. therefore, the slopes of y = 1/2 |x| are m = -1/2 and m = 1/2. the slopes of y = 1/5 |x| are m = -1/5 and m = 1/5.
