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posledela
3 years ago
8

Write the equation of a line that is parallel to y = 1/2x - 4 and that passes through the point (9, -6)

Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer:

y = (1/2)x - 21/2

Step-by-step explanation:

since both lines are parallel, both have the slope 1/2.

Start with the equation y = mx + b, and find b, when m = 1/2, x = 9 and y = -6:

-6 = (1/2)(9) + b

Mult. all terms by 2 removes the fractional coefficient 1/2:

-12 = 9 + 2b.

Then -21 = 2b, and b = -10 1/2, or -21/2.

The equation of the line is y = (1/2)x - 21/2.

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A person creates a game in which a person pays $5.00 to play. Then, they draw a single card from a standard shuffled deck of car
valkas [14]

Answer:

Step-by-step explanation:

The expected value is the probability of an event multiplied by the number of times the event happens. And if there is more than 1 event, the expected value is the sum of those.

There are 52 cards in a deck.

There are 12 face cards in a deck. (gain 10)

There are 4 ace in a deck. (gain 20)

Any other card is 36 of them. (lose 5)

The probability of face card is 12/52

The probability of ace is 4/52

The probability of any other card is 36/52

Thus the expected values is:

(12/52)(10) + (4/52)(20) + (36/52)(-5) = $0.38

3 0
3 years ago
Read 2 more answers
The relation ((6, 8), (7, 10), (7, 12), (8, 16),
Brilliant_brown [7]

Answer:

x = 7 is repeated twice.

Hence, there is NO MORE unique input. We can not have repeated inputs.

Thus, the relation is NOT a function.

Step-by-step explanation:

Given the relation

  • {(6, 8), (7, 10), (7, 12), (8, 16), (10, 16)}

We know that a relation is a function that has only one output for any unique input.

As the inputs or x-values of the relations are:

at x = 6, y = 8

at x = 7, y = 10

at x = 7, y = 12

at x = 8, y = 16

at x = 10, y = 16

If we closely observe, we can check that there is a repetition of x values.

i.e. x = 7 is repeated twice.

Hence, there is NO MORE unique input. We can not have repeated inputs.

Thus, the relation is NOT a function.

8 0
3 years ago
100 is divisible by which of the following numbers 2,3,4,5,6,9 or 10?
pochemuha
The correct answer is B: 2,4,5, 10

We know that 100 is not divisible by 3 because 100/3 is 33.33 repeating, which is an irrational number.

We also know that 100 is not divisible by 6 because 100/6 is 16.66 repeating which is also an irrational number.

100/2=50 (rational)
100/4=25 (rational)
100/5=20 (rational)
100/10=20 (rational)

Hope this helps!
6 0
3 years ago
Counting from 1 to 46, how many 4s will you encounter? 8 10 11 12 14
Ray Of Light [21]

Answer:

11

Step-by-step explanation:

4=1

14=2

24=3

34=4

40=5

41=6

42=7

43=8

44=9

45=10

46=11

You will encounter 11 4s.

5 0
3 years ago
What is the area of the triangle?
klemol [59]
A = 1/2 bh = 1/2(8)(6) = 48/2 = 24

answer
first one.
24 square units
3 0
3 years ago
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