Answer:
tegf ehetrh
Step-by-step explanation:
rwh rt hre r
Answer:
they are dependent
Step-by-step explanation:
<u>Answer:</u> The amount that patty and ales paid including taxes was $40.96.
<u>Step-by-step explanation:</u>
To calculate the cost of the shirt and sweater together, we first calculate the total cost of shirt and sweater individually.
- <u>Amount paid by Patty:</u>
Shirt of $14.50 + 9% tax
Tax paid = ![9\%=\frac{9}{100}=0.09](https://tex.z-dn.net/?f=9%5C%25%3D%5Cfrac%7B9%7D%7B100%7D%3D0.09)
Amount of tax paid = ($14.50 × 0.09) = $1.305
Amount paid by patty = $14.50 + $1.305 = $15.805
- <u>Amount paid by Ales:</u>
Sweater of $22.95 + 9% tax
Tax paid = ![9\%=\frac{9}{100}=0.09](https://tex.z-dn.net/?f=9%5C%25%3D%5Cfrac%7B9%7D%7B100%7D%3D0.09)
Amount of tax paid = ($22.95 × 0.09) = $2.0655
Amount paid by ales = $22.95 + $2.0655 = $25.0155
- Total amount paid by both Patty and ales = $15.805 + $25.0155 = $40.96
Hence, the amount that patty and ales paid including taxes was $40.96.
Answer: A
Step-by-step explanation:
![\frac{2}{3}x-5 < 11\\\\\frac{2}{3}x < 16\\ \\ x < 24](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dx-5%20%3C%2011%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7Dx%20%3C%2016%5C%5C%20%5C%5C%20x%20%3C%2024)
2a)
To verify, set the factors to zero.
(x - 2) = 0, x = 2
(x + 3) = 0, x = -3
Insert zero's in the equation:
<u>when x = 2</u>
3(2)³ + 2(2)² - 19(2) + 6 = 0
<u>when x = -3</u>
3(-3)³ + 2(-3)² - 19(-3) + 6 = 0
Hence verified the factors.
2b)
![= \sf \dfrac{\left(3x^3+2x^2-19x+6\right)}{\left(x-2\right)\left(x+3\right)}](https://tex.z-dn.net/?f=%3D%20%5Csf%20%5Cdfrac%7B%5Cleft%283x%5E3%2B2x%5E2-19x%2B6%5Cright%29%7D%7B%5Cleft%28x-2%5Cright%29%5Cleft%28x%2B3%5Cright%29%7D)
![\sf = \dfrac{\left(3x-1\right)\left(x-2\right)\left(x+3\right)}{\left(x-2\right)\left(x+3\right)}](https://tex.z-dn.net/?f=%5Csf%20%3D%20%5Cdfrac%7B%5Cleft%283x-1%5Cright%29%5Cleft%28x-2%5Cright%29%5Cleft%28x%2B3%5Cright%29%7D%7B%5Cleft%28x-2%5Cright%29%5Cleft%28x%2B3%5Cright%29%7D)
![\sf = 3x -1](https://tex.z-dn.net/?f=%5Csf%20%3D%203x%20-1)
The remaining factor is (3x - 1)
2c)
Set the factors to zero to find real zeros of f
2d)
<u>Complete factorization</u>: (3x - 1)(x - 2)(x + 3)