Answer:
It is a function 
Step-by-step explanation:
The x has only one y and that makes it a function 
 
        
             
        
        
        
Answer:
The values of 'x' are -1.2, 0, 0,  or
 or  .
. 
Step-by-step explanation:
Given:
The equation to solve is given as:

Factoring  from all the terms, we get:
 from all the terms, we get:

Now, rearranging the terms, we get:

Now, factoring  from the first two terms and 6 from the last two terms, we get:
 from the first two terms and 6 from the last two terms, we get:

Now, equating each factor to 0 and solving for 'x', we get:

There are 3 real values and 2 imaginary values. The value of 'x' as 0 is repeated twice.
Therefore, the values of 'x' are -1.2, 0, 0,  or
 or  .
. 
 
        
             
        
        
        
Answer:
<u><em>(-1,1)</em></u>
Step-by-step explanation:
We can solve this by either graphing and finding ther point the lines intersect, or mathematically,  I'll do both.
<u>Graphing:</u>
<u>Mathematically:</u>
−2x + 4y = 6
y = 2x + 3
See the attached graph.  The lines intersect at (-1,1)
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I'll rearrange the first equation (to make it easier for me):
−2x + 4y = 6
4y = 2x + 6
y = (1/2)x + 1.5
Now lets substitute the second equation into the first so that we can eliminate y:
y = 2x + 3
[(1/2)x + 1.5] = 2x + 3
- (3/2)x = (3/2)
x = -1
If x = -1:
y = 2(-1) + 3
y = 1
The solution is x = -1 and y = 1, or (-1,1)
=================
Both approaches give us (-1,1), the solution to the system of equations.  It is the only point that satisfies both equations.
 
        
             
        
        
        
Answer:
The probability that exactly 19 of them are strikes is 0.1504
Step-by-step explanation:
The binomial probability parameters given are;
The probability that the pitcher throwing a strike, p = 0.675
The probability that the pitcher throwing a ball. q = 0.325
The binomial probability is given as follows;

Where:
x = Required probability
Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;
The probability that exactly 19 of them are strikes is given as follows;
 
 
Hence the probability that exactly 19 of them are strikes = 0.1504