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Over [174]
1 year ago
13

write equation that has base of 3 stretched vertically by factor of 2/3 reflected in y axis, asymptote of y=2 and passes through

point (0,3,5)
Mathematics
1 answer:
madam [21]1 year ago
3 0

The exponential equation is y = \frac23(3)^{-x+0.74} + 2

<h3>How to determine the equation?</h3>

An exponential function is represented as:

y = b^x

The base is 3.

So, we have:

y = 3^x

It is stretched vertically by 2/3.

So, we have:

y = \frac23(3)^x

When reflected over the y-axis, we have:

y = \frac23(3)^{-x}

An asymptote of y = 2, makes the function becomes

y = \frac23(3)^{-x} + 2

Lastly, it passes through the point (0, 3.5).

So, we have:

y = \frac23(3)^{-x+h} + 2

This gives

3.5 = \frac23(3)^{-0+h} + 2

3.5 = \frac23(3)^{h} + 2

Subtract 2 from both sides

1.5 = \frac23(3)^{h}

Multiply by 3/2

2.25 = (3)^{h}

Take the logarithm of both sides

log(2.25) = h * log(3)

Solve for h

h = 0.74

Substitute h = 0.74 in y = \frac23(3)^{-x+h} + 2

y = \frac23(3)^{-x+0.74} + 2

Hence, the exponential equation is y = \frac23(3)^{-x+0.74} + 2

Read more about exponential equation at

brainly.com/question/23729449

#SPJ1

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MAVERICK [17]

Answer:

y = -3x+8

Step-by-step explanation:

formula = y=mx+b

slope is m

y-intercept is b

4 0
3 years ago
: Ruben put an empty cup underneath a leaking faucet. After 1 1 2 112 hours, Ruben had collected 1 4 14 cup of water. What is th
slamgirl [31]

Answer:

The rate is \frac{1}{6} cups per hour

Step-by-step explanation:

It took the faucet 1 1/2 hours equivalent 3/2 hours to fill 1/4 cup by leaking

We need to find the rate in terms of cups that can be filled by water in 1 hour.

Using unitary method:

it takes \frac{3}{2} h for \frac{1}{4} cup

it will take 1 h for how many cups?

= \frac{1 \times \frac{1}{4} }{\frac{3}{2} }= \frac{2}{4 \times 3}= \frac{2}{12}= \frac{1}{6} cups

Hence, the rate is \frac{1}{6} cups per hour

6 0
3 years ago
There were 200 people at the baseball game. Each of them bought a $8 ticket to get into the game. How much money did the people
irina1246 [14]
8 x 200

= 8 x 2 x 100

= 16 x 100

= 1,600

--------------

Answer:

$1,600
7 0
3 years ago
Read 2 more answers
A babysitter earns the same amount per hour. She earned $36 for 3 hours of babysitting. Which equation describes the relationshi
Brilliant_brown [7]

Answer:

y= 12x

Step-by-step explanation:

36/3=12

12× x =y

________________________

6 0
2 years ago
5/12 × 6/7 = 5/14 with step​
shutvik [7]

Answer:

Look below

Step-by-step explanation:

First you multiply the top and bottom

5/12 x 6/7

5x6 and 12x7

you get your new fraction of 30/84

then you simplify it by 6 to get 5/14

hope this helps

7 0
2 years ago
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