Answer:
2x-5 if u want u can substitute any other variables and constant
 
        
                    
             
        
        
        
Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
 =
 =  = a
 = a
y =  (x - 3)² + 1 ← in vertex form
 (x - 3)² + 1 ← in vertex form
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the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form
 
        
             
        
        
        
Painting a mural
Doing charity work like playing a concert
Design
        
                    
             
        
        
        
The statement "That does not extend in both directions." will make the definition, precise.
Kevin's line segment definition is correct. 
However, the end points in a line segment implies that the line segment does not extend past its two end points.
So, to make it precise;
Kevin needs to include that the line segment does not extend in both directions, in the definition.
Hence, option (c) is correct.
Read more about line segments at:
brainly.com/question/19203823
 
        
             
        
        
        
Using the binomial distribution, the probabilities are given as follows:
a) 0.37 = 37%.
b) 0.5065 = 50.65%.
c) 0.3260 = 32.60%.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the fixed parameter is:
p = 0.37.
Item a:
The probability is P(X = 1) when n = 1, hence:


Item b:
The probability is P(X = 3) when n = 3, hence:


Item c:
The probability is P(X = 2) when n = 4, hence:


More can be learned about the binomial distribution at brainly.com/question/24863377
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