The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.
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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.
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1/2 - y (6y - 8)
1/2 -6y2 - 8y
the answer is A
Answer:
It is the last option.
Step-by-step explanation:
The diagonals of a rhombus (KM and NL ) are perpendicular. That is shown by the diagonals having slopes of 1 and -1.
Recall that when 2 lines are perpendicular then m1 * m2 = -1 , where m1 and m2 are the slopes of the lines.
First, let's see if we can rewrite this word problem a little bit more mathematically. We won't get to mathy or technical so no worries. We just want to look at it in a more straightforward way, if we can.
Train A's mph plus Train B's mph summed equal 723.5 mph. Train A's mph is greater than Train B's mph by 12.5 mph.
So what should we do to solve this problem? Since we are dealing with two of something and we know the value of the two combined, it might make sense to start by dividing that value by 2.
723.5 / 2 = <em /> 361.75. If the two trains were travelling at the same speed, we would be done. Unfortunately, they are not so we need to think about this some more.
Train A is going 12.5 mph faster than Train B. Let's rewrite.
Train A mph = 12.5 + 361.75 = 374.25 Okay, so Train A is travelling at a speed of 374.25 mph. So we're done right? Not exactly. We are asked to fing the speeds of BOTH trains. How do we find the speed of Train B? We have added a portion of the combined total to Train A. It seems to follow, then, we should probably subtract the same portion from Train A. What are we going to do? You guessed it! Rewrite.
Train B mph = 361.75 - 12.5 = 349.25 HA HA! We seem to have figured it out. Let's do one last thing to check our work. Let's add the two trains' speeds together. If we did this right, we should get our summed value of 723.5 mph
374.25 + 349.25 = 723.5
Pat yourself on the back! We did it!
374.25 + 349.25 =
Answer:
C. To make sure all temporary accounts have a zero balance.
Step-by-step explanation:
The closing process is an accounting method applied at the end of the year with the purpose of ensuring that all accounts are ready for the preparation of financial statements, as well as the start of a new accounting year.
Temporary accounts are made permanent. Also, the accounts for the present year are zeroed. By so doing, only the current balance will be reflected in the new year accounts.
