Answer:
g(x) has the greater max: 11 versus 6
Step-by-step explanation:
One can readily discern the max value of the graph; it is 6 and occurs at x =1.
Regarding the function g(x) = (-1/2)x^2 + 4x + 3: Find the vertex, which also represents the max value:
Here the coefficients are a = -1/2, b = 4 and c = 3, so that the axis of symmetry is:
x = -b/(2a), which here is x = -4 / ( 2·[-1/2] ) = -4 / (-1) = 4
At x = 4, the function (y) value is
g(4) = (-1/2)(4)² + 4(4) + 3, or
g(4) = -8 + 16 + 3, or 11
This is greater than the max value of the graphed function.
Answer: The radius is 2 inches.
The circumference is approximately
12.56 inches.
Step-by-step explanation:
Given : The diameter of a dartboard = 4 inches
Since , radius is half of the diameter.
Therefore, radius of dartboard = (diameter) ÷ 2
= (4 inches ) ÷ 2 = 2 inches
Also, Formula for circumference :
, where r is radius.
Now , Circumference of dartboard = ![2(3.14)(2)=12.56\text{ inches}](https://tex.z-dn.net/?f=2%283.14%29%282%29%3D12.56%5Ctext%7B%20inches%7D)
Hence, The radius is 2 inches.
The circumference is approximately
12.56 inches.
Not sure but I think it’s B and E
Answer:
Step-by-step explanation:
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Hello!
For this you can substitute one of the y's with the other equation
-2x + 2 = -2x - 2
Add 2x to both sides
2 = 0x - 2
Add 4 to both sides
4 = 0
Since 4 does not equal 0 the answer is No solution
Hope this helps!