Answer:
C. g(x) = 3·2^x +2
Step-by-step explanation:
The graph of g(x) appears to be a translation upward of the graph of f(x).
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To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)
g(x) = f(x) +5
g(x) = (3·2^x -3) +5
g(x) = 3·2^x +2
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You can also determine the correct choice by looking at the value at x=0:
A. g(0) = 3 +6 = 9
B. g(0) = 1 +3 = 4
C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph
D. g(0) = 3
Answer:
7x(-9)
Step-by-step explanation:
-3x-5 becomes positive 15
-2x-1 becomes positive 2
6x6 is 36
7x-9 is -63
Answer:
y=(1/3)x+5
Step-by-step explanation:
Slope-intercept: y=mx+b
m=((y2-y1)/(x2-x1)) = (6-4)/(3+3)= 2/6= (1/3)
y=(1/3)x+b
plug in one of the points (3,6)
6=(1/3)(3)+b
6=1+b 5=b
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
Answer:
eegstecation
Yea YEA
Step-by-step explanation:
