The set of numbers running from least to greatest is C.
f (x ) = 2 x + 5
For g (x) we will solve the system:
- 1 =-2 m + b
+
-9 = 2 m + b
----------------------
-10 = 2 b, b = -5
-9 = 2 m - 5
2 m = -4
m = -2
g ( x ) = - 2 x - 5
For h (X):
m = (-1-5 ) / ( 3-0 ) = -6/3 = -2
5 = 0 + b, b = 5
h ( x) = - 2 x + 5.
Now we have 4 linear functions:
1 ) f ( x ) = 2 x + 5
The slope is m = 2, y - intercept: y = 5 , zero: x = -2.5 and the function increases ( m > 0 ).
2 ) g(x) = - 2 x - 5
The slope is m = - 2, y-intercept: y =-5 , zero: x = -2.5 and the function decreases ( m < 0 ).
3 ) h ( x ) = - 2 x + 5
The slope is m = - 2, y - intercept . y = 5, zero: x = 2.5 and the function decreases.
4 ) j (x) = 2 x + 5
The slope is m = 2, y -intercept: y = 5, zero: x = -2.5 and the function decreases.
The functions f( x ) and j ( x ) are parallel and also g( x ) and h ( x ). They have the same slope.
The functions f ( x ) and j (x ) are increasing and h ( x ) and h ( x ) are decreasing.
Answer:
It negative 6- and 6
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
Answer:
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Explanation:
You can determine the probability of the collector has captured at least two small monsters of the same species is the complent of that all the monsters captured are of different species, i.e. none are of the same species.
The probability than none of the five captured small monsters are of the same species are:
<u>1. Probability than the one monster is of the species One, and the others are not of the species One:</u>
- (1/32) × (31/32) × (30/32) × (29/32) × (28/32)
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<u>2. Probability that the first monster is of the species Two, and the others are not of the species Two:</u>
- (1/32) × (31/32) × (30/32) × (29/32) × (28/32)
<u>3. Probability that the first monster is of the species Three and the others are not of the same species:</u>
- (1/32) × (31/32) × (30/32) × (29/32) × (28/32)
<u>4. Inference</u>
As you see you have to do this 32 times, and then add all the equal 32 probabilities, which is
- 32 × (1/32) × (31/32) × (30/32) × (29/32) × (28/32) = 0.72
That is the probability that none of the five small monsters are of the same species. Then, the probability that at leas two small monsters are of the same species is 1 - 0.72 = 0.28
