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7nadin3 [17]
3 years ago
15

Just need help with c, f, & e please provide a step by step explanation

Mathematics
1 answer:
Pepsi [2]3 years ago
8 0

Good morning

Answer:

<h2>c. (24 , 2)</h2><h2>e. (-2 , 0)</h2><h2>f. (0 , -2/11)</h2>

Step-by-step explanation:

c.

f(x) =2 \\\\then\\\\\frac{x+2}{x-11} =2\\\\then\\\\x+2 = 2(x-11)\\\\then\\\\x+2=2x-22\\\\then\\\\x=24

then the point (24 , 2) is on the graph.

______________________________

e.

f(x) =0 \\\\then\\\\\frac{x+2}{x-11} =0\\\\then\\\\x+2 = 0\\\\then\\\\x=-2

Then the x-intercept is (-2 , 0)

_________________________

f.

f(0) = (0+2)/(0-11) = 2/(-11) = -2/11

then the y-intercept is (0 , -2/11)

____________________________________________

:)

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Write an exponential function for graph that passes through the following points (-3,80);(-1,20)
padilas [110]

Answer:

y

=

4

(

1

2

)

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Explanation:

An exponential function is in the general form

y

=

a

(

b

)

x

We know the points

(

−

1

,

8

)

and

(

1

,

2

)

, so the following are true:

8

=

a

(

b

−

1

)

=

a

b

2

=

a

(

b

1

)

=

a

b

Multiply both sides of the first equation by

b

to find that

8

b

=

a

Plug this into the second equation and solve for

b

:

2

=

(

8

b

)

b

2

=

8

b

2

b

2

=

1

4

b

=

±

1

2

Two equations seem to be possible here. Plug both values of

b

into the either equation to find

a

. I'll use the second equation for simpler algebra.

If

b

=

1

2

:

2

=

a

(

1

2

)

a

=

4

Giving us the equation:

y

=

4

(

1

2

)

x

If

b

=

−

1

2

:

2

=

a

(

−

1

2

)

a

=

−

4

Giving us the equation:

y

=

−

4

(

−

1

2

)

x

However! In an exponential function,

b

>

0

, otherwise many issues arise when trying to graph the function.

The only valid function is

y

=

4

(

1

2

)

x

7 0
3 years ago
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