Answer:
x²-6x +6
Explanation:
in general (x-root1) (x-root2) will give you the equation
for our case, the equation is given by
(x-3+√3)(x-3-√3), distribute
x²-3x-x√3 -3x+9+3√3+x√3-3√3-√9, group like terms and substitute √9 by 3
x²+(-3 -√3 -3 +√3)x +(9 +3√3 -3√3 -3), combine like terms
x²-6x +6
The Escobar family went on a car trip. They drove 100 miles on country roads and 240 miles on the highway. They drove 50% faster on the highway than on the country roads. Let r represent their rate on country roads in miles per hour. a. Write and simplify an expression that represents the number of hours it took the Escobar family to complete their trip in terms of r. (Hint: 50% faster means 150% of the original rate.) b. Find their total travel time if they drove the posted speed limit.
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Explanation:
The expression that represents the number of hours it took the Escobar family to complete their trip in terms of r is 260/r
The expression for the total time of travel?Let r represent their rate on country road and R represent their rate on highway.
So, we have:
R = (100% + 50%) * r
Evaluate
R = 1.5r
Rate is calculated using:
Rate = Distance/Time
So, we have:
r = 100/t and R = 240/T
Make T and t the subject
t = 100/r and T = 240/R
The total time of travel is:
Total = t + T
So, we have:
Total = 100/r + 240/R
Substitute R = 1.5r
Total = 100/r + 240/1.5r
Simplify
Total = 100/r + 160/r
Evaluate the sum
Total = 260/r
The total time of travelThe speed limit is 40mph
This means that:
r = 40
In (a), we have:
Total = 260/r
Substitute 40 for r
Total = 260/40
Evaluate
Total = 6.5
Hence, their total time of travel is 6.5hours
Read more about rate and distance at:
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which one of the following phases best fits the productivity equation?
A. persons from varied backgrounds working together to try to do their job well
B. refusing to become annoyed when a coworker does something that makes you look bad
C. being part of a mutually satisfying relationship with a coworker
D. satisfied employees, with good supervision, achieving or surpassing their performance goals
What type of relationship involves people who don’t share the same status?
A. parallel
B. horizontal
C. vertical
D. Circular
Lee el fragmento del poema de Ricardo Miró.
Ilustra el texto.
Answer:
Muestre el texto primero. Pero te seguiré dando ejemplos:
Explanation:
MY COUNTRY
(english)
Such a small country, spread on an isthmus
where the sky is clearer, the sun brighter;
all your music echoes within me, like the sea
in the small cell of the conch.
Yet again, there are times I feel dread
when I don’t see the way back to you…
Perhaps I’d never have known such love,
if destiny hadn’t carried me over the sea.
______________________________________
(Español)
Un país tan pequeño, extendido en un istmo
donde el cielo es más claro, el sol más brillante;
toda tu musica resuena dentro de mi, como el mar
en la pequeña celda del caracol.
Una vez más, hay momentos en los que siento pavor
cuando no veo el camino de regreso a ti ...
Quizás nunca hubiera conocido tal amor
si el destino no me hubiera llevado sobre el mar.
_____________________________________
"like the sea in the small cell of the conch."
("como el mar en la pequeña celda de la concha".)
En este párrafo, se ha hecho una analogía.
from the perspective of an employee, the effective channeling of work related information and concerns…
which of the following is true about office friendships?
Answer:
D. Office friendships lead to a workplace in which socializing rarely occurs.
Which model best shows the movement of oxygen during photosynthesis?
Plant
Ò A. Atmosphere
O B. Soil - Plant
C. Plant - Soil
D. Plant - Atmosphere
Are you able to handle rude people/trollers in the community? (Explain)
Answer:
However, it's often difficult to maintain your own manners when someone else is disrespectful.
While it would be nice to avoid them altogether, it's impossible in some situations. So you need to figure out a strategy of how to behave around them. There are quite a few different ways to handle these people.
Explanation:
1 stay calm
2 be direct
3 use humor
4 be polite
5 have a civilized conversation
6 don't over think the situation
Choose the vocabulary word that BEST completes the sentence.
The food writer ate at the restaurant on three nights to get an accurate picture of its
quality.
hoarding
subdued
mythological
successive
Answer:
Quality
Explanation:
If you substitute the other 4 words, the sentence simply does not make sense
Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 2 2/5 hours. How long will it take Maria to do the job alone?