Answer:
Imagine we are to express [
a
,
b
] in set notation
A
=
[
a
,
b
]
, then A
=
{
x ∈ R / a
≤
x
≤
b
}
In this notation we define the characteristics of all x belonging to this set A
....x must be greater or equal to a and simultaneously smaller or equal to b...
Interval notation is other way to say the same but assuming that means the extreme a is IN the interval and means extreme a is not.
Distribute the 3 to 4m and 6. this makes 12m-18=12
now add 18 to both sides.
12m=30
now divide by 12
m=30/12
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.
Answer:
0.7 miles per hour
Step-by-step explanation:
To find a speed in miles per hour, divide the number of miles by the number of hours.
150/ 212 = 0.7 miles per hour
