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3 years ago

Find formula for exponential function passing through points (-3,3/8) and (2/12)

Mathematics

1 answer:

Alex17521 [72]3 years ago

7 0

Answer:

y = 3 · 2ˣ

Step-by-step explanation:

Exponential function is:

y = abˣ

Plug in the points:

⅜ = ab⁻³

12 = ab²

Solve the system of equations. Start by dividing the second equation by the first:

12 / ⅜ = (ab²) / (ab⁻³)

32 = b⁵

b = 2

Plug into either equation to find a:

a = 3

Therefore:

y = 3 · 2ˣ

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3 years ago

(-6,1) is a point on the graph of y=g(x)

NNADVOKAT [17]

Answer:

$(-7, -4)$

$(-4, 2)$

$(-4, 1)$

Step-by-step explanation:

We know that the point (-6, 1) belongs to the main function g(x)

The transformation

$y = g (x + 1) -5$

add 1 to the input variable (x) and subtract 5 to the output variable (y)

So the point in the graph of $y = g (x + 1) -5$ is

$x + 1 =-6\\x = -7$

$y= 1-5\\y = -4$

The point is: $(-7, -4)$

The transformation

$y = -2g(x -2) +4$

subtract two units from the input variable (x), multiply the output variable (y) by -2 and then add 4 units

So the point in the graph of $y = -2g(x -2) +4$ is

$x -2 =-6\\x = -4\\\\y = -2(1)+4\\y = 2$

The point is: $(-4, 2)$

The transformation

$y=g(2x+2)$

Multiply the input variable (x) by 2 and then add two units

So the point in the graph of $y=g(2x+2)$ is

$2x +2 =-6\\2x = -8\\x=-4$

$y=1$

The point is: $(-4, 1)$

3 0

3 years ago

Pleaseee help me with these i did some but just wanna make sure I'm in the same page if its right. please explain how you got it

Sergeeva-Olga [200]

1. P = 2(9) + 2(4.5)
P = 18 + 9
P = 27 m

2. P = 5.2(2) + 1.3(2)
P = 10.4 + 2.6
P = 13 ft

3. P = 12.9(2) + 4.7(2)
P = 25.8 + 9.4
P = 35.2 cm

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3 years ago

HELP PLZ!!Which equations have exactly one y-value for any given x-value? Select all that apply.

lbvjy [14]

Answer:

The answer is A,C, and D

Step-by-step explanation:

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3 years ago

Equivalent fractions are always larger than orginal fraction true or false?

ioda

The answer is false. They are the same

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3 years ago