4-13 writing exponential equations

Mathematics

1 answer:

balu736 [363]3 years ago

6 0

Answer:

$y=2(\frac{1}{3})^x$

Step-by-step explanation:

Let the equation of the given exponential function is,

y = a(b)ˣ

Graph of the given exponential function passes through (0, 2) and (-1, 6)

For a point (0, 2),

2 = a(b)⁰

a = 2

For another point (-1, 6),

6 = 2(b)⁻¹

3 = b⁻¹

b = $\frac{1}{3}$

Therefore, equation of the exponential function will be,

$y=2(\frac{1}{3})^x$

You might be interested in

Help me with this equation:tan36=48/14

Zigmanuir [339]

It's difficult to spot what kind of help is needed.

There's no variable in that equation whose value needs to be found.

It appears to be simply a statement, saying that the tangent of 36 degrees
is (3 and 3/7) .

As such, it's false, since the tangent of 36 degrees is roughly 0.7265 .

What exactly is the question ?

5 0

3 years ago

Solve for x 2x^2+x+5=0

puteri [66]

Correct answer
x
=
−
1
±
i
√
39
4

7 0

3 years ago

Which point on the graph shows the amount of water in the bucket after 1 second? Hint: Type your answer in the form (x coordinat

Taya2010 [7]

Answer:

$\displaystyle \left(1,\frac{5}{12}\right)$

Step-by-step explanation:

Graphs

The graph shows the amount of water in gallons as a function of time in seconds.

We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.

Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

$w=mt+b$