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BabaBlast [244]
4 years ago
14

Which graph represents exponential decay? On a coordinate plane, a straight line has a negative slope. On a coordinate plane, a

graph starts at (negative 2, 0) and curves up and to the right into quadrant 1. On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2. On a coordinate plane, a graph approaches y = 0 in quadrant 2 and curves up into quadrant 1.

Mathematics
2 answers:
dalvyx [7]4 years ago
7 0

Answer:

Its graph C.

Step-by-step explanation:

I just took the test

RoseWind [281]4 years ago
3 0

Answer:

The correct option is (C).

Step-by-step explanation:

The exponential function representing decay is as follows:

y=y_{0}\cdot e^{kt};\ k

Here,

<em>y</em> = final value  

<em>y</em>₀ = initial value  

<em>k</em> = growth rate  

<em>t</em> = time passed

The graph represents exponential decay is:

"On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2."

Thus, the correct option is (C).

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Write the standard form of the equation that is parallel to y = -6x + 5 and goes through point (4, 4).
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6x + y = 28.  The standard form of the equation that is parallel to y = -6x + 5 and goes through point (4, 4) is 6x + y = 28.

The equation is written in the slope-intercept form y = mx +b. So:

y = -6x + 5

The slope m = -6

Since the slopes of parallel lines are the same, we are looking for a slope line m = -6 and goes through point (4, 4).

With the slope-intercept form:

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Introducing the slope m = -6:

y = -6x + b

Introducing the point (4, 4):

4 = -6(4) + b

b = 4 + 6(4)

b= 24 + 4

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Then

y = -6x + 28

write the equation in standard form ax + by = c:

y = -6x + 28

6x + y = 28

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