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azamat
2 years ago
15

Write the equation of the line that passes through the points (-8, -8) and

Mathematics
1 answer:
IgorLugansk [536]2 years ago
8 0
Mmkn nunuhjejdbdjdjdvdjdbdbjdcinfnff
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Question 5 and 6 please help me
sp2606 [1]

Problem 5

The function is continuous for the given domain x \ge 6

This is because y = (-5/6)x+5 is itself continuous, and any interval subset of this function is also continuous. We can plug in any real number that is equal to 6 or larger, and get some y output. If we plugged in x = 6, then we'd get

y = (-5/6)x+5

y = (-5/6)*6 + 5

y = -5+5

y = 0

This is the largest y value possible. Why? Because y = (-5/6)x+5 has a negative slope, so the graph is going downhill as you read it from left to right. As x gets bigger, y gets smaller. The smallest x value allowed in the domain produces the largest y value in the range. There is no smallest y value as the y values keep going down forever.

The range is therefore y \le 0

In interval notation, you can write the range as (-\infty, 0]. The square bracket indicates "include this endpoint as part of the range".

======================================================

Problem 6

The function is discrete for this given domain. The domain itself is a discrete list of values. We cannot plug in values between say 0 and 2. We can only substitute one of those values from the list given. Consequently, the y values will also be a list, and not an interval like problem 5 had.

-----------

If you plugged in x = -4, then you should get...

y = (-1/2)*(-4)+2

y = 2+2

y = 4

So the input x = -4 lead the output y = 4

Repeat for x = -2

y = (-1/2)x+2

y = (-1/2)*(-2)+2

y = 1+2

y = 3

and the same for x = 0 as well

y = (-1/2)x+2

y = (-1/2)*0 + 2

y = 0 + 2

y = 2

and x = 2 also

y = (-1/2)x+2

y = (-1/2)*2 + 2

y = -1+2

y = 1

Finally, plug in x = 4

y = (-1/2)x+2

y = (-1/2)*4+2

y = -2+2

y = 0

---------------

If we plugged each of these x values {-4, -2, 0, 2, 4} one at a time into the equation y = (-1/2)x+2, then we get this list of values {4, 3, 2, 1, 0}

Sorting the values from smallest to largest, we have this range {0, 1, 2, 3, 4}

3 0
2 years ago
Suppose an amusement park bought a merry‐go‐round for $92,000. 42,512 people paid $2 each to ride the merry‐go‐round in its firs
tatiyna

Answer: hey

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can a chord also be classified as a radius? Explain your answer.
aalyn [17]
No
A chord is a straight sediment that joins two points of the circumference. The radius goes from the center of the circle, which is not on the radius.
6 0
3 years ago
30 POINTS!!!! EXPLAIN!
Reptile [31]
Answer:

f(x+2)=3x+10

Explanation:

f(x+2) means replace all the  xs  with  (x+2)

f(x)=3x+4

f(x+2)=3(x+2)+4

Now simplify

f(x+2)=3x+6+4

f(x+2)=3x+10

7 0
3 years ago
What is |x|/-6=12 a no solution b -2or 2 c -72or72 d 72. im really confused
Kobotan [32]
Remember
|x|≥0 for every real value of x

so

|x|/-6=12
divide both sideds by -6
|x|=-2
false, the absolut value cannot be negatve
6 0
3 years ago
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