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AVprozaik [17]
3 years ago
7

You have linear functions p(x) and q(x). You know p(2)=3, and p(q(x))=4x+7 for all x. Find q(-1).

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

q(-1)=-2

Step-by-step explanation:

1) flip the equation:

4x+7=-1

2) subtract 7 from both sides:

4x=-8

3) divide both sides by 4:

x=-2

HOPE THIS HELPS!!!! :)

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C/- 4 = 16<br> please help
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The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?
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2) In the following diagram, a ladder is leaning against the building. What is the
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8 0
3 years ago
8. There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.
PIT_PIT [208]

Answer:

a. 720

b. 0.3

Step-by-step explanation:

a.

Three balls are selected at random without replacement.

First ball can be selected in 10 ways

Second ball can be selected in 9 ways

Third ball can be selected in 8 ways

Thus, there are 10×9×8 =720 different ways of selecting three balls.

b.

There are three cases that satisfy this condition

  1. first ball picked is 5, the others are not
  2. first ball is not 5, second is 5, third is not
  3. first and second ball is not five, third ball is 5

Each probabilities are:

  1. \frac{1}{10} * \frac{9}{9} *\frac{8}{8} =\frac{1}{10}
  2. \frac{9}{10} *\frac{1}{9} *\frac{8}{8} =\frac{1}{10}
  3. \frac{9}{10} *\frac{8}{9} *\frac{1}{8} =\frac{1}{10}

Thus, one of the balls selected is the number 5 is then \frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}

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