Step-by-step explanation:
g(x) = ax²+bx+c
g(x)=−3x²−6x+5
a = -3, b= -6, c = 5
since a <0 , the function has only maximum value.
=> g'(x) = 0
-6x -6 = 0
-6x = 6
x = -1
the maximum value => g(-1) =
-3(-1)²-6(-1)+5 = -3+6+5 = 9
the domain : {x | x € Real numbers}
the range : {y| y ≤ 9, y € Real numbers}
the function is increasing for x < -1
the function is decreasing for x > -1
Answer:
the 3 one
Step-by-step explanation:
Answer:
a. false
b. true
c. true
d. true
e. false
Step-by-step explanation:
a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.
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b. True. A graph of a proportional relationship is a straight line through the origin.
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c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.
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d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.
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e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.
Answer:
The ratio means that for every 8 fries, there is a ketchup. So if there were 16 fries, then there are 2 ketchup.
For A. the muddy water will slowly begin to decrease because it's been left out in the sun, some of the water will begin to evaporate.
(I don't know about B, or C, but I tried my best on A.)
Make sure to put in your own words. :)
