Answer:
y=mx+b
Step-by-step explanation:
b is wherever the line intersects the y axis.
m is the slope, rise/run. hope this helps! please mark brainliest!
 
        
             
        
        
        
The left hand side of the equation is a difference of two squares and may be factored out as follows,
                              (x - 4)(x + 4) > 0
They may be individually taken as,
                                     x - 4 > 0    ; x > 4
                                     x + 4 > 0   ; x < -4
Thus, the answer to this item is letter A. 
        
             
        
        
        
There is a multiple zero at 0 (which means that it touches there), and there are single zeros at -2 and 2 (which means that they cross). There is also 2 imaginary zeros at i and -i. 
You can find this by factoring. Start by pulling out the greatest common factor, which in this case is -x^2. 
-x^6 + 3x^4 + 4x^2
-x^2(x^4 - 3x^2 - 4)
Now we can factor the inside of the parenthesis. You do this by finding factors of the last number that add up to the middle number. 
-x^2(x^4 - 3x^2 - 4)
-x^2(x^2 - 4)(x^2 + 1)
Now we can use the factors of two perfect squares rule to factor the middle parenthesis. 
-x^2(x^2 - 4)(x^2 + 1)
-x^2(x - 2)(x + 2)(x^2 + 1)
We would also want to split the term in the front. 
-x^2(x - 2)(x + 2)(x^2 + 1)
(x)(-x)(x - 2)(x + 2)(x^2 + 1)
Now we would set each portion equal to 0 and solve. 
First root
x = 0 ---> no work needed
Second root
-x = 0 ---> divide by -1
x = 0
Third root 
x - 2 = 0
x = 2
Forth root
x + 2 = 0
x = -2
Fifth and Sixth roots
x^2 + 1 = 0
x^2 = -1
x = +/- 
x = +/- i
 
        
             
        
        
        
Answer:
(3, 5)
Step-by-step explanation:
The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.
 
        
             
        
        
        
Answer:
The $2,000 decrease in Carlos's taxable income will save him
 
Step-by-step explanation:
i) Carlos is in the 12% tax bracket.
ii)The $2,000 decrease in Carlos's taxable income will save him
 