All categories

3 years ago

Find the equation of the exponential function represented by the table above

Mathematics

1 answer:

mojhsa [17]3 years ago

5 0

Answer: Y = 3 × 2^x

Step-by-step explanation:

Let assume that the equation of the exponential function represented by the table is

Y = 3(2)^x

When x = 0

Substitute x for 0. Then,

Y = 3 × 2^0

Anything raised to power of zero is equal to one.

Y = 3 × 1 = 3

When x = 1

Repeat the process

Y = 3(2)^1

Y = 3 × 2 = 6

When x = 2

Y = 3(2)^2

Y = 3 × 4 = 12

And finally, when x = 3

Y = 3(2)^x

Substitute x for 3

Y = 3 × 2^3

Y = 3 × 8

Y = 24.

We can therefore conclude that the equation of the exponential function represented by the table above is

Y = 3 × 2^x

You might be interested in

What is the inverse function of f(x) =x/x-2

Inga [223]

The answer is 2x/x-1 because it means opposite

6 0

3 years ago

Can you help me with this

brilliants [131]

If you subtract 11.1 from 8.3 you get 2.8

2.8 is your answer :)

Since Peru spends 8.3 and Israel spends 11.1

Subtract that and that's how many more Israel spends on the internet

7 0

4 years ago

What is the least common multiple of 2, 10 and 6

Lera25 [3.4K]

The least common multiple<span> (</span>LCM<span>) of numbers is the smallest number that they all can divide evenly into.

2 = 1 </span>× 2

10 = 1 × 2 × 5

6 = 1 × 2 × 3

Hence, the least common multiple is 1 × 2 = 2.

7 0

4 years ago

Read 2 more answers

Is 4+(3×y) (4+3)×y equivalent or 10-(6÷y) (10-6)÷y

Daniel [21]

They don't seem equivalent, the first set yields 4+3xy and 7xy. The second set yields 10-(6/y) and 4/y. R u sure u typed in the question correctly?

7 0

3 years ago

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches. If the girth is 63

tester [92]

Answer:

Length of package can be = 22 inches

Step-by-step explanation:

Given:

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches

To find length of package when girth of package is = 63 inches

Solution:

Let length of package be = $l$ inches

Let girth length of package be = $g$ inches

Sum of length and girth of package = $(l+g)$ inches

To qualify for a certain postage rate the sum of length and girth should not exceed 85 inches.

Thus, the inequality representing the situation can be given as:

$l+g\leq 85$

We are given girth of package is = 63 inches

So, inequality to find length would be:

$l+63\leq 85$

Subtracting both sides by 63.

$l+63-63\leq 85-63$

$l\leq 22$ inches

So, length should not exceed 22 inches in order to qualify.

Thus, the maximum length of package to qualify for the postal rate must be = 22 inches

3 0

3 years ago

Find the equation of the exponential function represented by the table above​

Find the equation of the exponential function represented by the table above