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alex41 [277]
3 years ago
6

Which of the following statements would be correct to use when proving that limx→4(3x−4)=8?

Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

Option c

Step-by-step explanation:

given that limit x tending to 4 of the function (3x-4) is 8

This implies for all values of x such that for epsilon >0 arbitrary small ,

||x-4||, we get

|f(x)-8|<3epsilon

this is equivalent to the option c.

Proof:

Consider

||x-4||

Hence it follows that option C is right.

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The tickets for a dozen children to enter the amusement park cost $330. What was the price per ticket?​
Arte-miy333 [17]
27.5

Just divide 330 and 12 because 1 dozen is 12!
6 0
2 years ago
Read 2 more answers
NOT is coded as LKF and FLY is coded as TNA, then which of the following word/s has/have correct coding? (1) TOP – FKJ (2) RUN –
AVprozaik [17]

Answer:

  • (1) and (3) are correct options

Step-by-step explanation:

  • NOT is coded as LKF
  • FLY is coded as TNA

<u>Using alphabet, we can see that:</u>

NOT = 14, 15, 20  ⇔ 13+1, 13+2, 13+7 ⇒ LKF = 12,11,6 = 13-1, 13-2, 13-7

Coding for each letter is 13 + x ⇒ 13 - x

(1) TOP ⇒ FKJ

  • TOP = 20,15,16 ⇒ 13-7, 13-2, 13-3 =  6,11,10 = FKJ
  • Correct

(2) RUN ⇒ IFM

  • RUN = 18,21,14 ⇒ 13-5,13-8,13-1 = 8,5,12 = HEL ≠ IFM
  • Incorrect

(3) MUG ⇒ MES

  • MUG = 13,21,7 ⇒ 13+0, 13-8, 13+6 = 13,5,19 = MES
  • Correct

(4) HOT ⇒ RKG

  • HOT = 8,15,20  ⇒ 13+5,13-2, 13-7 = 18,11,6 = RKF ≠ RKG
  • Incorrect

7 0
2 years ago
What does an open dot on a number line signify?
zmey [24]
It doesn’t include the number it just stops there
7 0
3 years ago
Please help me in questions 15 and 21 with their inequalities and graph
aleksklad [387]

Answer:

x >= 7 OR x < -8

n <= -3 AND n > -6

Step-by-step explanation:

15) 7x - 6 >= 43 OR 10x + 4 < -76

7x >= 43 + 6 OR 10x < -76 - 4

7x >= 49 OR 10x < -80

x >= 7 OR x < -8

you can draw based on this

for >= it is full dot for < it is like circle on the graph

you have to draw both x>= 7 , x < -8 on the same line because it is OR

so both ranges of x are possible

21) 3 + 2n <= -3 AND 1 - 3n < 19

2n <= -3 -3 AND -3n < 19 - 1

2n <= -6 AND -3n < 18

n <= -3 AND 3n > -18

n <= -3 AND n > -6

so it lies between -6 and -3

u can refer pictures below

8 0
2 years ago
The following question in the photos
Harlamova29_29 [7]
Answer: D
Because there is a dashed line, that means there has to be an inequality statement, C is the only one with one and the statement is false.
4 0
2 years ago
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