well, you already know an absolute value expression has a ± siblings, so let's proceed without much fuss.
![\bf |2x-5|=4\implies \begin{cases} +(2x-5)=4\implies 2x=9\implies x=\cfrac{9}{2}\\[-0.5em] \hrulefill\\ -(2x-5)=4\implies 2x-5=-4\\[1em] 2x=1\implies x=\cfrac{1}{2} \end{cases}](https://tex.z-dn.net/?f=%20%5Cbf%20%7C2x-5%7C%3D4%5Cimplies%20%20%5Cbegin%7Bcases%7D%20%2B%282x-5%29%3D4%5Cimplies%202x%3D9%5Cimplies%20x%3D%5Ccfrac%7B9%7D%7B2%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20-%282x-5%29%3D4%5Cimplies%202x-5%3D-4%5C%5C%5B1em%5D%202x%3D1%5Cimplies%20x%3D%5Ccfrac%7B1%7D%7B2%7D%20%5Cend%7Bcases%7D%20)
Answer:
a) $ 22x -9
b) 44x - 18
c) $319
Step-by-step explanation:
Given that,
number of $1 bills wyatt has = (2x-1)
number of $5 bills wyatt has = (4x + 2)
The total amount of money that Wyatt has in terms of x
(2x - 1) + 5(4x + 2)
= 2x - 1 + 20x + 10
= $ 22x -9
The number of pens that Wyatt can buy if each pen costs 50 cents
$(22x - 9) * 100
= 2200x - 900 cents / 50
= 44x - 18
If x = 21, amount of money Susan will have now if Wyatt gives her half the number of five dollar bills that he has
( 5 (4x + 2) / 2) + ( 2 (21) - 1)
= 215 + 41
= 256
As we know that Susan has $3x more than Wyatt
So,
256 + 3x
= 256 + 3(21)
= $319
Answer:
The solution set is: x>36
Step-by-step explanation:
We are given that we have to subtract 3 times of some number 'x' from 18 such that the resulting equation is less than -90.
this means that : 18-3x<-90
on solving the inequality by adding 3x on both side and adding 90 on both side we get that
108<3x
now on dividing both side by 3 we get that
x>36
Hence our solution set is: x>36
Answer:
4 units to the left
Step-by-step explanation:
y = a (x - h)² + k
The h is a horizontal translation of <em>h</em> units.
For h > 0, move right
For h < 0, move left
Solution: We are given below data:
Now to find the mean deviation, we use the below formula:
Where:
represents the summation
X, represents the observation.
represents the mean
N represents the number of observation.
Therefore, the mean deviation is:
= 4
