Answer:
(-1,6)
Step-by-step explanation:
Given that(4,6) is on the graph of f(x)
f(-4x) means x is multiplied by -4
When x is multiplied by -1 then there will be reflection over y axis
We multiply every point by -1. so multiply the x values of the given point (4,6) by -1
New point is (-4,6)
If any number is multiplied with x then there will be a horizontal compression or stretch.
4 is multiplied with x , so there will be horizontal compression because 4 is greater than 1
To get new point, we divide the x values by 4 for compression
we already got (-4,6) after multiplying by -1
Now we divide the x coordinate -4 by 4 = -1
So corresponding point for the function f(-4x) is (-1,6)
Answer:
d = 24
Step-by-step explanation:
The area of a circle is given by A = π * r²
We are told the area of the clock is 144π.
Let's clear the formula for the radius:
r² = A / π
r² = 144π / π
r² = 144
r = √144
r = 12
The diameter is two times the radius, d = 2r = 2*12 = 24.
Answer:
slope is 5
Step-by-step explanation:
y=mx + b
y=5x =2
m = slope therefore is 5
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
Answer:
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Step-by-step explanation:
