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stich3 [128]
3 years ago
15

What is the graph of the function f(x) = the quantity of x squared plus 3 x minus 4, all over x plus 4

Mathematics
1 answer:
adoni [48]3 years ago
7 0
<h3>Answer:</h3>

See attached

<h3>Step-by-step explanation:</h3>

The expression simplifies to ...

... f(x) = (x-1)(x+4)/(x+4)

... f(x) = x -1 . . . . . . . . . x ≠ -4 . . . . . factors of x+4 cancel

The graph is that of the line

... y = x -1

with a "hole" at x=-4, y=-5, where the function is undefined (because the denominator is zero there).

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D. 7/8

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6 0
4 years ago
If the probability of turning left is 0.5 and the probability of
babymother [125]

Answer:

0.5

Step-by-step explanation:

The probability that the first mouse turns left and the second mouse turns right is 0.5 × 0.5 = 0.25.

The probability that the first mouse turns right and the second mouse turns left is 0.5 × 0.5 = 0.25.

So the probability that only one mouse turns left is:

P =  0.25 + 0.25

P = 0.5

Another way of looking at it: the probability that only one mouse turns left is 1 minus the probability that both turn left or both turn right.

P = 1 − (P(both left) + P(both right))

P = 1 − (0.5 × 0.5 + 0.5 × 0.5)

P = 0.5

4 0
4 years ago
Suppose that two cards are dealt from a standard 52-card poker deck. let a be the event that the sum of the two cards is 8 (assu
nirvana33 [79]
Case 1:  You have an Ace and a seven. 
There are 4 ways to pick 1 Ace out of 4. There are 4 ways to pick 1 seven out of 4.   -----> 4*4 = 16
There are 16 ways to be dealt an Ace and a seven.

Case 2:  You have a two and a six.
In the same way there are 4*4=16 ways to be dealt a two and a six.

Case 3: You have a three and a five.
In the same way there are 4*4=16 ways to be dealt a three and a five.

Case 4: You have 2 fours.
There are 6 ways to get 2 fours out of 4.  (4 choose 2)

Total number of outcomes = 16+16+16+6 = 54
8 0
3 years ago
The adventure club went on a hike to see a waterfall. To get to the hike, the club members took 6 cars and 8 vans. There were 5
Marizza181 [45]

Answer:

94 club members

Step-by-step explanation:

8 x 8 = 64

5 x 6 = 30

64 + 30 = 94

3 0
4 years ago
Find all numbers whose absolute value is -9.
Sav [38]

Answer:

-9 and 9

Step-by-step explanation:

|-9| = 9

|9| =  9

Only -9 and 9 can have an absolute value of 9

8 0
2 years ago
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