Answer:
the LCM would be 8 based on the following set of multiples: Multiples of 2: 2, 4, 6, 8, 10, 12, 14, ... Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...
Step-by-step explanation:
One such polynomial might be
Another with the same roots would be
Is that all the question says can you give it into more details
So I can help you out
Answer:
if 
Step-by-step explanation:
Recall some following basic ideas about absolute value:
or I guess 
or just 
but there is a reason why I wrote it the way I did.
You see that the absolute value returned the same value if the value was positive.
You see that the absolute value returned the opposite value if the value was negative.
You can include 0 in either.
Let's look at 
alone for a second.
*
if is positive or zero.
When is positive or zero? [greater than or equal to 0]
Subtract 3 on both sides
*
if is negative or zero.
When is negative or zero? [less or equal to 0]
Subtract 3 on both sides
So looking at the bullet points (the *), fits into the first inequality.
Therefore, .
Answer:
42 gallons 45% antifreeze
28 gallons 95% antifreeze
Step-by-step explanation:
If x is volume of 45% antifreeze, and y is volume of 95% antifreeze, then the total volume is:
x + y = 70
And the total amount of antifreeze is:
0.45 x + 0.95 y = 0.65 (70)
Solving by substitution:
0.45 x + 0.95 (70 − x) = 0.65 (70)
0.45 x + 66.5 − 0.95 x = 45.5
21 = 0.5 x
x = 42
y = 28
