Simplify the following polynomial expression:
(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)
Lets Simplify Your Equation, Step by Step:
(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)
Solution: ===> 5x^4 − 37x^3 − 6x^2 + 41x − 6 = 0
Distribute:
= 5x^4 + -9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7
Combine Like Terms:
= 5x^4 + −9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7
= (5x^4 + −8x^4 +8x^4) + (−9x^3 + −28x^3) +(4x^2+ −10x^2) +(7x + −3x + 37x)+(−1 + 2 + −7)
= 5x^4 + −37x^3 + −6x^2 + 41x + − 6
Hence, Answer:
= 5x^4 −37x^3 −6x^2 + 41x − 6 = 0
Hope that helps!!!! : )
To determine the counter clockwise rotation of 180 degree about the origin
When rotating a point 180 degrees counterclockwise about the origin our point H(x,y) becomes H'(-x,-y).

From the rotation formula about the origin counterclockwise 180 degree is

Therefore the correct answer is Option A
Step-by-step explanation:
x = 20
y = 25
z = 24
plz mark my answer as brainlist plzzzz vote me also.
hope this will be helpful to you .
APR is the annual percentage rate. To get daily percentage rate, we need to divide APR by 365. We have,
daily rate =
(in percentage). In decimal it is
.
<em>To get total interest, we calculate it accordingly:</em>
- For first 10 days, he gets daily interest of 0.01% on $300:

- For next 10 days, he gets daily interest of 0.02% on $1500:

- For the last 10 days, he gets daily interest of 0.02% on $600:

Henry's total interest is the sum of these three,
dollars.
ANSWER: $2.3
Answer:
Carla's suitcase was a better purchase.
Step-by-step explanation:
The complete question is:
Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?
Solution:
- Cost Price of Carla's suitcase = $75
Discount% for Carla = 19%
The amount paid by Carla is,
![\text{Amount}=CP\times [1-d\%]=75\times [1-0.19]=60.75](https://tex.z-dn.net/?f=%5Ctext%7BAmount%7D%3DCP%5Ctimes%20%5B1-d%5C%25%5D%3D75%5Ctimes%20%5B1-0.19%5D%3D60.75)
So, the amount paid by Carla was, $60.75.
- Cost Price of Jeana's suitcase = $85
Discount% for Jeana = 20%
The amount paid by Jeana is,
![\text{Amount}=CP\times [1-d\%]=85\times [1-0.20]=68](https://tex.z-dn.net/?f=%5Ctext%7BAmount%7D%3DCP%5Ctimes%20%5B1-d%5C%25%5D%3D85%5Ctimes%20%5B1-0.20%5D%3D68)
So, the amount paid by Jeana was, $68.
Carla's suitcase was a better purchase.