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mamaluj [8]
3 years ago
13

Point-slope of line's equation (-3,-7),(-8-11)

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0
Steps:
1. Find the slope by using the slope formula
Y2-Y1
---------
X2-X1

-11 + 7
----------
-8 + 3
2.
-11 + 7= -4
-8 + 3= -5
3. Your slope is 4/5 (because you have to turn two negatives into a positive)
4. Now you do the point-slope formula
Y-Y1= m(x-x1)
Y +7=4/5 (x +3)
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Gala2k [10]

Answer:

g(x)=6(3)^x

Step-by-step explanation:

We are given  that

f(x)=6(\frac{1}{3})^x

Function f decreases from quadrant  2 to quadrant 1 and approaches  y=0

It cut the y- axis at (0,6) and passing through the point (1,2).

Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.

It passing through the point (-1,2) and cut the y-axis at point (0,6).

Reflection across y- axis:

Rule of transformation is given by

(x,y)\rightarrow (-x,y)

Using the rule then we get

g(x)=6(\frac{1}{3})^{-x}=6(3)^x

By using

x^{-a}=\frac{1}{x^a}

Substitute x=-1

g(-1)=6\times (\frac{1}{3})=2

Substitute x=0

g(0)=6

Therefore,g(x)=6(3)^x is true.

8 0
3 years ago
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Sonbull [250]

Answer:

Range is always greater than zero.

Step-by-step explanation:

An exponential growth means that the growth rate of a given quantity increases exponentially.

The graph of an exponential function is shown below.

From the above graph, it's quite clear that the range of the function is never negative.

Hence, one characteristic of exponential growth is that the range(y values on the graph) is always greater than zero.

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Step-by-step explanation:

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Vladimir [108]

Answer:

x = - 2, x = 0

Step-by-step explanation:

- 3x² - 6x ← factor out - 3x from each term

= - 3x(x + 2)

To solve equate to zero

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x + 2 = 0 ⇒ x = - 2

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2 years ago
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