The first step for absolute value equations is to isolate the expression contained within the absolute value bars:
3|2x+4|-1 = 11
3|2x+4| = 12
|2x+4| = 4
so |2x+4| is 4 units away from 0 on a number line, but we don't know in which direction -- negative or positive? you'll have two answers.
2x+4 = 4
AND
2x+4 = -4
solve both of those two step equations and you'll get
x = 0
AND
x = -4
so 0 and -4 are your solutions.
Answer:
x = 12.48
y = 13.22
Step-by-step explanation
Im not sure if its correct
10^2 + b^2 = 16^2
100 + b^2 = 256
b^2 = √156
b = 12.48
b= 12 ( If needed to round to the nearest whole number)
a^2 + 15^2 = 20^2
a^2 + 225 = 400
a^2 = √175
a = 13.22
a = 13 ( If needed to round to nearest whole number)
Answer:
7.67
Step-by-step explanation:
Given the data :
Week_sales_Forecast ___|error|_ |error|²
1 _____15
2 ____ 16
3 ____ 19
4 ____ 18
5 ____ 19 ____ 17 _______ 2____4
6 ____ 20 ___ 18 ________2____4
7 ____ 19 ____19 ________0____0
8 ___ 22 ____ 19 ________3____9
9 ___ 15 ____ 20 ________5___ 25
10 __ 21 _____19 ________ 2 ___ 4
Mean squared error :
(4 + 4 + 0 + 9 + 25 + 4) / 6
= 46 / 6
= 7.666
= 7.67
This problem can be solved using dimensional analysis.
The answer is 119 8/14 which simplifys to 119 4/7.