Factor completely 2x2 + 28x + 96.
2 answers:
Answer:
A) 2(x + 6)(x + 8)
Step-by-step explanation:
2x2 + 28x + 96.
We first factor out 2
We get; 2(x² + 14 + 48)
The we factor the expression x² + 14 + 48
Product = 48 , sum = 14, numbers = 8 and 6
Therefore;
x² + 8x + 6x + 48
x(x+8) + 6 ( x+8)
Thus; x² + 14 + 48 = (x+6) (x+8)
Hence, the factorized expression will be;
= 2(x + 6)(x + 8)
Answer:
Choice A is the answer.
Step-by-step explanation:
We have given a quadratic expression.
2x² + 28x + 96
We have to find factors of above expression.
Taking 2 common from given expression , we have
2(x²+14x+48)
Splitting the middle term of the above expression so that the sum of two terms must be 14 and their product be 48.
2(x²+8x+6x+48)
Making groups, we have
2(x(x+8)+6(x+8))
Taking x+8 common from above expression, we have
2(x+8)(x+6) which is the answer.
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Step-by-step explanation:
because she charges 5$ an hour and 7x5 is 35
*I'll be keeping the solutions in exact form*
So firstly, square root both sides. This will split the equation into two:

Next, add 1 on each side: 
Next, divide 3 on both sides, and your answers will be 
21 because you have to have at least 1 side as 3m so the other two should be 9m to have the greatest possible length
Let (1/3)x + 2 = (4/3)x-5
-> x + 21 = 4x
-> 3x = 21
->x = 7
So y = 7/3+2 = 13/3
Answer is (7, 13/3)
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