Answer:
No
Step-by-step explanation:
Plug (-2,1) into -3x+y=5. This will make it -3(-2)+(1)=5. This is equal to 6+1=5. 7=5. 7 is not equal to 5. Therefore, (-2,1) is not a solution to the equation -3x+y=5.
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Answer:
Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio--that is, when you divide any pair of the two values, you always get the same number k.
Answer:
a) True
b) True
c) False
d) True
Step-by-step explanation:
A discrete variable is the one where the values taken by it are possible to count (usually the values are natural numbers)
On the other side, a continuous variable is the one that has an uncountable number of values. (usually the values are real numbers)
Considering these definitions we get:
a)The batting average of Joe’s favorite player is a continuous variable: True, this average can take any number among the real numbers.
b) The number of hot dogs that Joe bought is a discrete variable: True, Joe can only buy 1, 2, 3, 4... hot dogs, this set is countable and therefore is a discrete variable.
c) The number of strikeouts in the game is a continuous variable: False, the strikeouts are natural numbers (1, 2, 3, 4...) and therefore are countable and they are a discrete variable.
d) The Quakes standings in the league is a discrete variable: True. The standing of a team in a league is a discrete variable since it can be 1st place, 2nd place... and therefore it's countable.
