Answer:
Hello : 
y = 2x² - x -6
y = 2 ( x² - 1/2 x - 3)
y = 2 (x² -1/2 x + 1/16 -1/16 -3)
y = 2 (( x - 1/4 )² - 49/16).....  the quadratic formula 
y = 0 :  ( x - 1/4 )² - 49/16 = 0
( x - 1/4 )² - (7/4)² = 0
( x -1/4-7/4)( x -1/4+7/4)=0
(x -2)(x + 3/2) = 0
x - 2 = 0 or x + 3/2 =0
x = 2 or x = - 3/2
 
        
             
        
        
        
Answer:
1/6
Step-by-step explanation:
The probability of <em>only</em> a heads on a coin is 1/2, and the probability of <em>only</em> a 3 on a die is 1/6. Multiply them together, and you get 1/6.
 
        
             
        
        
        
The product (multiplication) of 5 and m squared (²) increased (addition) by the sum (addition) of the square (²) of m and 5.
(5m²) + (m² + 5)
        
                    
             
        
        
        
Answer:
The resulting graph is  .
.
Step-by-step explanation:
The resulting function is of the form:

Where:
 - Independent variable, dimensionless.
 - Independent variable, dimensionless.
 - Dependent variable, dimensionless.
 - Dependent variable, dimensionless.
 - Amplitude, dimensionless.
 - Amplitude, dimensionless.
 - Midpoint value, dimensionless.
 - Midpoint value, dimensionless.
The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is:  . According to the graph, the function is bounded between 5 (
. According to the graph, the function is bounded between 5 ( ) and -5 (
) and -5 ( ), and the midpoint value (
), and the midpoint value ( ) is 0. The amplitude is determined by the following calculation:
) is 0. The amplitude is determined by the following calculation:

If  and
 and  , then:
, then:

The resulting graph is  .
.