Assignment: ![\bold{Simplify \ Expression: \ -20b\cdot \:8+2b\cdot \:8}](https://tex.z-dn.net/?f=%5Cbold%7BSimplify%20%5C%20Expression%3A%20%5C%20-20b%5Ccdot%20%5C%3A8%2B2b%5Ccdot%20%5C%3A8%7D)
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Answer: ![\boxed{\bold{-144b}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7B-144b%7D%7D)
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Explanation: ![\downarrow\downarrow\downarrow](https://tex.z-dn.net/?f=%5Cdownarrow%5Cdownarrow%5Cdownarrow)
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[ Step One ] Multiply Numbers
![\bold{20\cdot \:8=160}](https://tex.z-dn.net/?f=%5Cbold%7B20%5Ccdot%20%5C%3A8%3D160%7D)
[ Step Two ] Rewrite Equation
![\bold{-160b+2\cdot \:8b}](https://tex.z-dn.net/?f=%5Cbold%7B-160b%2B2%5Ccdot%20%5C%3A8b%7D)
[ Step Three ] Multiply Numbers
![\bold{2\cdot \:8=16}](https://tex.z-dn.net/?f=%5Cbold%7B2%5Ccdot%20%5C%3A8%3D16%7D)
[ Step Four ] Rewrite Equation
![\bold{-160b+16b}](https://tex.z-dn.net/?f=%5Cbold%7B-160b%2B16b%7D)
[ Step Five ] Combine Similar Elements
![\bold{-160b+16b=-144b}](https://tex.z-dn.net/?f=%5Cbold%7B-160b%2B16b%3D-144b%7D)
[ Step Six ] Simplify
![\bold{-144b}](https://tex.z-dn.net/?f=%5Cbold%7B-144b%7D)
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Answer:
El resultado eres: ![R(x) + S(x) = -6x^2 - 2x - 2](https://tex.z-dn.net/?f=R%28x%29%20%2B%20S%28x%29%20%3D%20-6x%5E2%20-%202x%20-%202)
Step-by-step explanation:
Se dan las siguientes funciones
![R(x) = -5x^2 + x - 2](https://tex.z-dn.net/?f=R%28x%29%20%3D%20-5x%5E2%20%2B%20x%20-%202)
![S(x) = -x^2 - 3x](https://tex.z-dn.net/?f=S%28x%29%20%3D%20-x%5E2%20-%203x)
Cuál es el resultado de R(x) + S(x) ?
Se soman los fatores en comun. Entonces:
![R(x) + S(x) = -5x^2 + x - 2 + (-x^2 - 3x) = -5x^2 + x - 2 - x^2 - 3x = -5x^2 - x^2 + x - 3x - 2 = -6x^2 - 2x - 2](https://tex.z-dn.net/?f=R%28x%29%20%2B%20S%28x%29%20%3D%20-5x%5E2%20%2B%20x%20-%202%20%2B%20%28-x%5E2%20-%203x%29%20%3D%20-5x%5E2%20%2B%20x%20-%202%20-%20x%5E2%20-%203x%20%3D%20-5x%5E2%20-%20x%5E2%20%2B%20x%20-%203x%20-%202%20%3D%20-6x%5E2%20-%202x%20-%202)
El resultado eres: ![R(x) + S(x) = -6x^2 - 2x - 2](https://tex.z-dn.net/?f=R%28x%29%20%2B%20S%28x%29%20%3D%20-6x%5E2%20-%202x%20-%202)
Answer:
Step-by-step explanation:
<u>Given expression:</u>
<u>Answer options for equivalent expression:</u>
A. (2x - 1)(x + 4)= 2x² + 8x - x - 4 = 2x² + 7x - 4
B. (2x + 1)(x - 4) = 2x² - 8x + x - 4 = 2x² - 7x - 4
C. (2x + 1)(x + 4) = 2x² + 8x + x + 4 = 2x² + 9x + 4
D. None of these
Answer:
The problem is represented by a division.
She lost 4 points for each missed question
Step-by-step explanation:
If Lina lost a total of 32 points in 8 questions weighted equally, to find out how many points she lost per question, we should divide the total number of points lost (32) by the number of questions she missed (8).
This will give us the number of points lost per each missed question:
Points lost per question = ![\frac{32}{8} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B8%7D%20%3D%204)
So this is clearly a division problem.
Answer:
In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped.