Answer:
R: {y<=2}
Step-by-step explanation:
We can identify the range by looking at all possible y values or the result after you input an x in the g(x) function. We see that in the g(x) function, the vertex of the quadratic graph lies on (0,2) when we graph it. Thus, any possible y value must be less than or equal to (0,2) because the slope is pointing down due to the negative coefficient attached to the x, making it have a maximum.
Thus all y values or the range of g(x) must be {y<=2}
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Answer:
see explanation
Step-by-step explanation:
the n th term of an arithmetic sequence is
= 
+ (n - 1)d
given = 3 and 
= 10, then
= 3 + d = 10 ⇒ d = 10 - 3 = 7
= 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4
the sum to n terms of an arithmetic sequence is
= 
[2 + (n - 1)d ]
= [(2 × 3) + 7(n - 1) ]
= (6 + 7n - 7 )
= (7n - 1)
= 
n² - 
n
Answer:
C. (3,6)
explenation
We are given that,
The point (-3,-6) is transformed by the rule .
That is, the point is reflected across y-axis and then reflected across x-axis.
That is, the rule for the transformation is (x,y) → (-x,y) → (-x,-y).
So, we get,
(-3,-6) → (3,-6) → (3,6)
Thus, the co-ordinates of the image are (3,6).
So, option C is correct.
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