Answer:
x = 1; y = 6
x = 5; y = 26
x = 8; y = 41
x = 10; y = 51
Step-by-step explanation:
Just substitute the x values
The solutions of the equation are -12 and 16
Step-by-step explanation:
Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative, if IxI = a, where a > 0, then
∵ 2Ix - 2I - 8 = 20
- At first add 8 to both sides
∴ 2Ix - 2I = 28
- Then divide both sides by 2
∴ Ix - 2I = 14
Now By using the notes above equate x - 2 by 14 and -14
∵ x - 2 = 14
- Add 2 to both sides
∴ x = 16
∵ x - 2 = -14
- Add 2 to both sides
∴ x = -12
The solutions of the equation are -12 and 16
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Given:
Original price = 20
reduces selling price by 25% every month it's not sold.
First markdown month:
20 * (100%-25%) = 20 * 75% = 15
Second markdown month
15 * 75% = 11.25
Macy, employee gets a 50% discount off the current price.
11.25 * 50% = 5.625
11.25 - 5.625 = 5.625 or 5.63
The pre-tax price of the shirt for Macy will be $5.63
Answer:
option A
Step-by-step explanation:
given,
10% A grades 80% B grades 10% C grades
This year, managers with scores less than 35 received C's and those with scores above 425 received A's.
The mean has to be middle of two corresponding cutoff value
![\mu = \dfrac{35+425}{2}](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cdfrac%7B35%2B425%7D%7B2%7D)
μ = 230
Cutoff Off C grade corresponds with the area of 0.10 is table A.
corresponding z- score according to Table A
Z = -1.28
now, standard deviation
![z = \dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![\sigma= \dfrac{x-\mu}{z}](https://tex.z-dn.net/?f=%5Csigma%3D%20%5Cdfrac%7Bx-%5Cmu%7D%7Bz%7D)
![\sigma= \dfrac{35-230}{-1.28}](https://tex.z-dn.net/?f=%5Csigma%3D%20%5Cdfrac%7B35-230%7D%7B-1.28%7D)
σ = 152.3
Correct answer is option A