Answer:
A
Step-by-step explanation:
Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.
<u>Discriminant</u>

Evaluate the discriminant of each of the given equations.



As -24 < 0 the equation will have complex roots.




As 41 > 0 the equation does not have complex roots.




As 48 > 0 the equation does not have complex roots.




As 33 > 0 the equation does not have complex roots.
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Sorry can't include the graphs, just subsitute y for f(x) and graph by subsituting values
so domain is the set of numbers you are allowed to use
range is the set of number you get from inputing the numbers from the domain into the function
so normally the domain is all real numbers
you must exclude number from the domain that make mathematical undifined impossible stuff exg dividing by zero so
not sure about the ranges so I will leave that out
a. denomenator is x-2
cannot be zero
x-2=0
add 2
x=2
domain: all real numbers except for 2
b. x+2=deomenator
x+2=0
subtract 2
x=-2
x acannot be -2
domain: all real numbers except for -2
c
x cannot be 0
domain: all real numbers except for 0
d. x cannot be -1
domain: all real numbers except for -1
e: x cannot be a negative number or 0
domain: all real numbers greater than zero
f: x cannnot be -2
domain: al real numbers except -2
g: x cannot be 0
domain: all real number except 0
h: x cannot be zero
domain: all real numbers except 0
i: x cannot be 1
doman: all real number except 1
j: 5x-2=0
add 2
5x=2
divide 5
x=2/5
x cannot be 2/5
domain: all real numbers except for 2/5
Answer:
12
Step-by-step explanation:
I hope it helped:)))))))))
Answer: -x
Apply Multiplicative Distribution Law:- 1/5 * 5x - 1/5 * 20 - 1/2 * 4x - 1/2 *(-8)
Determine the sign for multiplication or division: 1/5 * 5x - 1/5 * 20 - 1/2 * 4x + 1/2 * 8
Cross out the common factor: x - 1/5 * 20 - 1/2 * 4x + 1/2 * 8
Cross out the common factor: x - 4 - 1/2 * 4x + 1/2 * 8 - 4 - 2x + 1/2 * 8
Cross out the common factor: x - 4 - 2x + 1/2 * 8
Cross out the common factor: x - 4 - 2x + 4
Reorder and gather like terms: (x - 2x) + (- 4 + 4)
Collect coefficients for the like terms: (1 - 2) * x + (- 4 + 4)
Calculate the sum or difference : - x + (- 4 + 4)
The sum of two opposites equals 0: -x
Answer: -x
Learn more about Multiplicative Distribution Law here:brainly.com/question/2898526
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Answer:
yes
Step-by-step explanation:
2b+b=3b because2+1 = 3