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Afina-wow [57]
3 years ago
9

Find the domain and range of 1/t+2

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

Domain = (-∞, -2) ∪ (-2, ∞).

Range =  (-∞, 0) ∪ (0, ∞).

Step-by-step explanation:

t can't have the value -2 because that would make  1/(t + 2) = 1/0 which is undefined.

So the domain is All real values of t. except t = -2.

As t approaches infinity or negative infinity  f(t) approaches  zero, and as t approaches -2 from below or above f(t) approaches negative infinity or positive infinity.

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Help with 19,20,21,23 please i don't understand geometry at all
Murrr4er [49]
19.  What you know is that HK+KJ = HJ.  If HJ = 25, the sum of the two equations will equal this length.  

x-5+5x-12=25  First, combine your like terms.  You will end up with 6x-17=25.  Add the opposite of -17 to both sides.  6x = 42  Divide both sides by 6.  x = 7.  Substitute x=7 for your original expression of x-5, 7-5=2

20.  (5x-6)/2 = x+6  Multiply each side by 2.  5x-6 = 2x +12  Add 6 to each side 5x = 2x + 18 then subtract 2x from both sides as well.  3x = 18 Finally divide each side by 3.  x=6   To find the length of the remaining segment, substitute this value into (5x-6)/2.  This results in each side equaling a distance of 12.

21.  On the number line, the distance of FG is 16 units.  If the distance of FP is 1/4 of FG, you would simply divide 16 by 4.  The distance of FP is 4 and P lies at 8 on your number line.

23. The distance of SP is x+4 and ST=4x.  Since P is the midpoint, you only have one half of the line as x+4, if you were to double it, you would find that 2x+8 = 4x.  Balance and solve for x, subtract 2x from both sides. 8=2x  Divide each side by 4, 8/4 = 4x/4 resulting in x=2.  If ST equals 4x, substitute and solve, 4(2) = 8
8 0
2 years ago
Two buses leave a station at the same time and travel in opposite directions. One bus travels 15 /kmh faster than the other. If
Nat2105 [25]
Since the buses travel in opposite directions, the speed at which they distance themselves is the sum of their speeds.
One bus travels at speed s.
The other bus travels at speed s + 15.
The sum of the speeds is s + s + 15 = 2s + 15

speed = distance/time

distance = speed * time

366 = (2s + 15) * 2

183 = 2s + 15

168 = 2s

s = 84

The slower bus travels at 84 km/h.

s + 15 = 84 + 15 = 99

The faster bus travels at 99 km/h.

Check:
In 2 hours, the slower bus travels 2 * 84 km = 168 km
In 2 hours, the faster bus travels 2 * 99 km = 198 km
In 2 hours, the buses are 198 km + 168 km = 366 km apart.
Our answer is correct.
6 0
3 years ago
Based on 10,500 responses from 34,000 questionnaires sent to all its​ members, a major medical association estimated that the an
SIZIF [17.4K]

Answer:

d) Convenience

Step-by-step explanation:

According to my research on different types of sampling techniques, I can say that based on the information provided within the question the sampling technique used in this method is called a Convenience technique. This technique collects data from all the participants that were conveniently available to participate, and does not have any criteria that needs to be met. In this situation they used the data from all the participants that responded to the questionnaires, in other words the participants that were conveniently available,

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0
3 years ago
Please answer this correctly <br> Is the answer <br> 5:15pm<br> 6:03am<br> 2:15pm<br> 7:03am
mrs_skeptik [129]

Answer:

2:15 PM

Step-by-step explanation:

When the plane arrives in Seattle, the time in eastern time period would be 5:15 PM.  From eastern to pacific, the time goes back 3 hours. 5:15 - 3 hours is 2:15. Since the time is still in the afternoon, it is still PM.

5 0
3 years ago
Read 2 more answers
-7=7d-8 solve for the variable d
kvv77 [185]

-7 = 7d - 8

Add 8 to both sides.

1 = 7d

Divide both sides by 7.

<h3>d = 1/7</h3>
3 0
3 years ago
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