Answer:
(a) yes
(b) no; see below
Step-by-step explanation:
(a) Integer roots of the quartic will be integer divisors of 6. One of the divisors of 6 is 3, so 3 is a possible root.
(b) In order for 3 to be a double root, it would have to be a double factor of 6. The only integer factors of 6 are 1, 2, 3, 6. (3² = 9 is not one.)
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The quartic can be written as ...
k(x -a)(x -b)(x -c)(x -d) . . . . . where a, b, c, d, k are integers
The constant term will be kabcd, of which each of the roots is a factor. If the constant is 6 and one root is d=3, then we must have
kabcd = 3kabc = 6
kabc = 6/3 = 2
Among these four integer factors, there must be an even number of minus signs, and one that has the value ±2. Another root whose value is 3 will not satisfy the requirements.
They are arranged in opposite directions Answer ( 2.4 - 1.8 = 0.6)
The best way, in my opinion, to do this, is to find the unit rate of each napkin brand, or the cost per napkin. To do this, divide the money amount by the amount of napkin they give you.
/Brand W:2.87/500=.00574 \
\Brand X: 1.27/200=.00635 \ These are the
/Brand Y: .62/100 =.0062 / cost per napkin.
\Brand Z: 1.37/250=.00548 /
Which one out of these 4 values is the lowest value? Obviously the two with the 6 in the thousandths place are more expensive than the ones with the 5s in the thousandths place, so that already eliminates Brand Z and Brand W.
What do we have left?
<span>Brand X: 1.27/200=.00635
</span><span>Brand Y: .62/100 =.0062
</span> Cool. Which of these is a smaller number? Tip: If the first number besides 0 is the same, check the next one! You should get that Brand Y is the cheapest! :) Hoped this helped!
The equilibrium price in a market is the price where the quantity demanded of the products are equal
The equilibrium price in the market is $2
<h3>How to determine the
equilibrium price </h3>
From the given supply and demand data for wheat:
When the price is $2, the quantity demanded and the quantity supplied for wheat is 61
This means that the equilibrium price $2
Hence, the equilibrium price in the market is $2
Read more about equilibrium price at:
brainly.com/question/13925210
Answer:
one regular ticket costs $30
Step-by-step explanation:
The total number of people = 4
Without the $20 coupon, the total cost would have been =100+20 = $120
Assume the price of one regular ticket is x;
4x = 120
Divide both sides by 4 to solve for x
x = 120/4
x = 30
Therefore, one regular ticket costs $30
