The ordered triple (2, -5, 4) is located in the same octant as the ordered triple (3, -4, 7) as they both share a positive, negative, positive pattern in their coordinates, indicating that they are both situated in the second octant of the Cartesian coordinate system.
The question requires the identification of the octant in which the ordered triple (3, -4, 7) is located and then determining which other given ordered triple shares the same octant. In the Cartesian coordinate system, an octant is each of the eight divisions of a three-dimensional coordinate system. By looking at each coordinate of the ordered triple (3, -4, 7), we can see that the first value is positive, the second is negative, and the third is positive. This primes us to the second octant. Going through the list of ordered triples, we find that (2, -5, 4) shares this same signage pattern: first coordinate positive, second negative, and third positive. Such alignment implies that (2, -5, 4) is also in the second octant. Therefore, the ordered triple that is in the same octant as (3, -4, 7) is (2, -5, 4).
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y = x + 3
Linear graph and circle. They intersect at negative 3, 0 and 0, 3
Linear and a quadratic graph. They intersect at negative 3, negative 5 and 2, 0.
Linear and a quadratic graph. They intersect at negative 2, 0 and 1, 3.
Linear graph and circle. They intersect at negative 2, 0 and 0, 2.
Answer:
They intersect at (-3, 0) and (0, 3)
Step-by-step explanation:
took the test hope it helps
Answer:
810 words
Step-by-step explanation:
243 words per 3 minutes
243/3 to get 81 words per minute
81 times 10 = 810
Answer:
By a small online search, i found that the actual question seems to be:
"Stephanie uses a ride service to get to different places in her city. If Stephanie uses Uber the service charges $5.00 plus 1.50 per mile . If Stephanie uses lift the service charges $2.00 per mile. Let m represent the number of miles traveled. Which of the following statements are true . Select all that apply"
The statements are not provided, so i will answer it in a general way.
We have two different equations:
1) a fixed amount of $5.00 plus $1.50 for each mile, m.
This is a linear equation:
y1 = $1.50*m + $5.00
2) No fixed amount, only $2.00 for each mile, m.
y2 = $2.00*m
Now, the things we can see are which service will be cheaper as a function of m.
To see this, we can see the difference between y1 and y2.
When the difference is negative, this means that y1 is cheaper.
When the difference is positive this means that y2 is cheaper.
When the difference is zero, both services charge the same.
D = y1 - y2 = $1.50*m + $5.00 - $2.00*m
= (-$0.50)*m + $5.00
First let's find when it is zero.
0 = (-$0.50)*m + $5.00
5.00/0.5 = m = 10
So for 10 miles, both services charge the same.
As the coefficient that multipies m is negative, if we have m > 10, then the difference will be negative.
This means that for m > 10, y1 is cheaper.
Then for m < 10, y2 is cheaper.