Answer:
g
Step-by-step explanation:
The maximum value occurs at gradient 0 (the stationary point).
In f this has a value (y) of 6.
In the equation example we have to differentiate:
dg(x)/dx = -x + 4
Gradient is 0 so 4 - x = 0 so x = 4
Plug g(4)=our maximum=-(1/2)4^2 + 4(4) + 3 = -8 + 16 + 3 = 11
11 > 6 so g has greater maximum.
Answer:
-1
Step-by-step explanation:
Pick two points on the line
(0,1) and ( 2,-1)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( -1 -1)/(2-0)
= -2/2
= -1
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</span>Sam wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. He writes the equation y = 6 + x.
Answer:
Each Pencil Cost 4 Dollars
Step-by-step explanation:
First you can subtract 21 by 9 to get 12 dollars which shows how much he spent.
Second you can divide 12 by 3 to get 4 dollars spent. So he spent 4 dollars on each pencil.
Answer: B.
Step-by-step explanation: The probability that a student is 15 years old includes those who are only 15: 450 students. This means that of 1,500 there are 450 students who are 15. The probability is set up as: 450/1,500 or 0.30.