Answer:
Step-by-step explanation:
The polynomial is simplified by combining like terms. Like terms are identified more easily if the variables in each term are written in the same order. We usually like to use alphabetical order. Two of the like terms have opposite coefficients, so they cancel. The result is ...
(3 1/2 -2 1/2)xy² +(-2 4/5 +2 4/5)x²y
= xy² . . . . simplified expression
__
For x = 1, y = -2, the value of the expression is ...
(1)(-2)² = 4
Answer:
Kelly is wrong and the recipe will make 19 cups of punch.
Step-by-step explanation:
It says:
The amount of ingredients in the recipe of punch after converting the units to 'cups' are given by,
Pineapple juice = 3 pints = 6 cups (1 pint ≈ 2 cups)
Orange juice = 5 cups
Lemonade = 1/4 gallon = 4 cups (1 gallon = 16 cups)
Apricot nectar = 1 quart = 4 cups(1 quart = 4 cups)
Then, the total cups of punch = 6 + 5 + 4 + 4 = 19 cups.
Thus, Kelly is wrong and the recipe will make 19 cups of punch.
Answer:
66.6%
Step-by-step explanation:
The probability that it is blue or odd, would be the quotient between the marbles of these characteristics and the total number of marbles.
Now, we know that there are four blue marbles altogether. The odd ones, in the case of the red ones since there are eight, are the marbles 1,3,5,7 and in the blue ones the odd ones are not counted because they are already included as blue; therefore there are a total of four odd marbles. In total, between odd and blue there are eight marbles.
Which means that the probability is as follows, knowing that there are a total of 12 marbles:
8/12 = 0.666, that is, there is 66.6% chance that the marble that is drawn is blue or an odd number.
So in your given pattern, you need to find first the derivatives and observe the patter that occurs in the given functions. So with this kind of pattern, every fourth one is the same; that makes the 114th derivative is the same as the second derivative. It is known since 114/4 has a remainder of two
Answer: The point which represents the cost of 4 pints is:
(4,8)
Step-by-step explanation:
We are given that:
A market sells strawberries for $2.00 per pint.
Then, cost of 4 pints= $ 4×2.00
= $8.00
The point on the x coordinate represents number of pints
and the point on the y coordinate represents the cost in dollars
Hence, the point which represents the cost of 4 pints is: (4,8)
