F(h(x)) means wherever you see x in the f(x) function you're gonna plug in the h(x) function:
f(h(x)) = (2x + 3) - 7
= 2x + 3 - 7
= 2x - 4
1 is wrong there are two numbers greater than 4 but less than or equal to 6.
the first one was correct
Answer:
84 degrees
Step-by-step explanation:
Angle A = 83 degrees
Angle B = x degrees
Angle C = 135 degrees
Angle CDE = 122 degrees
We know that the four inner corners of a quadrilateral should add up to 360 degrees. Two supplementary angles will add up to 180 degrees. Adjacent angles on a straight line will always be supplementary. Knowing this, just solve for <ADC and add that amount to <A and <C. Then, subtract that sum from 360 degrees.
<ADC = 180-122 = 58
58+83+135 = 276
360-276 = 84 degrees
Answer:
Mean = $229.32
Median = $231.15
Mode = $268.4
Step-by-step explanation:
Mean = the average.
The average is the sum of variables divided by the number of variables.
x = each variable
N = number of variables = 11
Average = (Σx)/N = (236.09 + 204.43 + 253.82 + 268.4 + 231.15 + 205.7 + 262.18 + 162.77 + 268.4 + 224.45 + 205.17)/11
Mean = 2522.56/11 = $229.32
b) Median is the value that falls at the middle of the data set if all the variables are arranged in ascending or descending order.
So, to find the Median, we first arrange the variables in ascending order.
162.77
204.43
205.17
205.70
224.45
231.15
236.09
253.82
262.18
268.4
268.4
Since there are 11 variables, the Median is the number that falls at the middle of the distribution, that is, at the sixth position.
Median = $231.15
c) Mode is the number that appears the most in a distribution.
In this distribution, only 268.4 appears more than once.
Hence, the more is $268.4
The perpendicular line would have a slope of 1/3.
Perpendicular lines have opposite and reciprocal slopes.
To do the opposite, take the original slope (-3) and change the sign (3).
To do the reciprocal, take the slope we changed (3) and flip it as a fraction (1/3).
This gives us a new slope of 1/3.
