Which is equivalent to the expression? x2 + 6x + 4 A) (x + 3)2 + 5 B) (x + 3)2 − 5 C) (x − 3)2 + 5 D) (x − 3)2 − 5
2 answers:
Answer:
B)
Step-by-step explanation:
the equation is:
we have an equation of the form
where
and we must complete the square to obtain a perfect square binomial,
we must add and substract the following:
which is:
and then the equation becomes:
where the terms are the components of the perfect square binomial:
and thus, the equation now is:
the answer is: B)
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Answer:
C. y +3 = x +3
Step-by-step explanation:
We need to find in below option x has direct variation with y.
We solve for each;
A.
From above equation we can state that 2 times y is equal to 7 less than 3 times of x.
Hence it doesn't represent direct variation.
B.
Solving above expression we get;
From above equation we can state that y is equal to 10 more than x.
Hence it doesn't represent direct variation.
C.
Solving above expression we get;
From above equation we can state that y is equal to x.
Hence it represent direct variation.
D.
Solving above expression we get;
From above equation we can state that 4 times y is equal to 2 less than 4 times of x.
Hence it doesn't represent direct variation.
Hence the Answer which represent direct variation of x and y is,
C.