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Elena-2011 [213]
3 years ago
10

For the function f(x)=1/x-2 +5 notice that a=1, h=2, k=5

Mathematics
1 answer:
saul85 [17]3 years ago
7 0

Answer:

x = 2 is the vertical asymptote

y = 5 is the horizontal asymptote

Step-by-step explanation:

The vertical asymptote is when it is undefined, or when the denominator is 0. This is when x = 2.

To find the horizontal asymptote, we need to find the value y can never be. Notice 1/(x-2) is never 0, so when y = 5, that value has to be 0, but this is not possible, so y = 5 is the vertical asymptote.

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|2x-8| + 3 = 5 two solutions
Delicious77 [7]

Answer:

The two solutions are 5 and 3

Step-by-step explanation:

The equation of the absolute has two solutions because IxI = a means x = a and x = -a

Let us solve the question using this fact

∵ I2x - 8I + 3 = 5

→ Subtract 3 from both sides

∴ I2x - 8I + 3 - 5 = 5 - 3

∴ I2x - 8I = 2

By using the fact above

→ 1st solution

∵ 2x - 8 = 2

→ Add 8 to both sides

∴ 2x - 8 + 8 = 2 + 8

∴ 2x = 10

→ Divide both sides by 2 to find x

∴ x = 5

→ 2nd solution

∵ 2x - 8 = -2

→ Add 8 to both sides

∴ 2x - 8 + 8 = -2 + 8

∴ 2x = 6

→ Divide both sides by 2 to find x

∴ x = 3

∴ The two solutions are 5 and 3

6 0
3 years ago
A card is drawn from a well-shuffled deck of 52 cards. find p(drawing an ace or a 9). 8
Maru [420]
P=8/52
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7 0
3 years ago
Which shows the expression below in simplified form? (5 × 10^5) × (7 × 10^-5)
katrin [286]

Answer:1,750,000,000

Step-by-step explanation:first the number ten to the fifth power is 1,000,000 then times five is 5,000,000. Then the number ten to the negative fifth power is 50 times seven is 350. 5,000,000 times 350 is 1,750,000,000

4 0
3 years ago
What is the measure of x, in degrees
Stells [14]

Answer: B is correct, 40 degrees.

Step-by-step explanation:

70 is the given angle, z is equivalent to that angle, so z is 70. So add those together, and you have 140. According to the rule, a triangle will always add up to 180. So 180-140=40 and there's your answer. Hope this helps!

4 0
3 years ago
Please solve thank you ​
Y_Kistochka [10]

9514 1404 393

Answer:

  2

Step-by-step explanation:

The second step of the solution shows division by 2 on the left. Consequently, it must also show division by 2 on the right.

  2 goes in the green box

_____

  \dfrac{2p}{2}=\dfrac{18}{2}\\\\p=9

7 0
3 years ago
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