Answer:
29/12 > x
Step-by-step explanation:
–3(x + 2) > 4x + 5(x – 7)
Distribute
-3x -6 > 4x +5x-35
Combine like terms
-3x-6 > 9x -35
Add 3x to each side
-3x+3x-6 > 9x+3x -35
-6 > 12x-35
Add 35 to each side
-6+35 > 12x -35+35
29 > 12x
Divide each side by 12
29/12 > 12x/12
29/12 > x
The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.
<h3>
What is the discriminant of the expression?</h3>
According to the task content; it is required to identify if the expression is prime.
On this note, it follows that the discriminant of the expression can be evaluated as follows;
= 36 -(4× 5 × -2)
= 76.
Hence, the expression is prime since 76 is not a perfect square.
Read more on discriminant;
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Answer:
10,080 minutes
Step-by-step explanation:
First find how many minutes are in a day. There are 60 in an hour and there are 24 hours in a day so multiply 60 by 24 to get 1,440. So there are 1440 minutes in a day. Multiply 1440 by 7 to get 10,080.