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3 years ago

Determine whether the equation is exponential growth or exponential decay

Mathematics

1 answer:

Harman [31]3 years ago

4 0

9514 1404 393

Answer:

decay
decay
growth

Step-by-step explanation:

If the base of a positive exponential is greater than 1, the function is a growth function. If it is less than 1, the function decays.

Remember that a^-1 = 1/a, so a negative exponential can be transformed to a positive one.

1. y = 2(11/5)^-x = 2(5/11)^x . . . . 5/11 < 1, so decay

2. y = e^(-2x) = (1/e^2)^x . . . . 1/e^2 < 1, so decay

3. y = 1/4e^x . . . . e > 1, so growth

_____

e ≈ 2.71828 . . . an irrational number

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Y = 2/3x - 2<br> y = -x + 3<br> Please and quickly

umka2103 [35]

-x+3=2/3x-2
3=4/3x - 2
5=4/3x
X= about 3.846

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2 years ago

Can someone help me out my grads are bad

Mice21 [21]

Answer:

50 cm^2

Step-by-step explanation:

In this scale 4 cm = 10 m

and 2 cm = 5 m

10 m x 5 m = 50 m^2

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3 0

2 years ago

A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10

Marta_Voda [28]

Answer:

1138

Step-by-step explanation:

From the information given:

We can represent it perfectly in an exponential form:

$m = p(q)^x$

where;

p = initial value = 120

q = base of the exponential form

q = 1 + r

here; r = rate in decimal = 10% = 0.1

Then q can now be = 1 + 0.1 = 1.1

Replacing it into the exponential form, we get:

$m = 120(1.1)^x$

where;

x = number of days and m = number of shoppers

Thus:

For the first day:

$m = 120(1.1)^x$

m = 120

For the second day:

$m = 120(1.1)^1$

m = 132

For the third day:

$m = 120(1.1)^2$

m = 145.2

For the fourth day

$m = 120(1.1)^3$

m = 159.72

For the fifth-day

$m = 120(1.1)^4$

m = 175.692

For the sixth-day

$m = 120(1.1)^5$

m = 193.2612

For the seventh-day

$m = 120(1.1)^6$

m = 212.58732

Thus; the total numbers of shoppers for the first 7 days is:

$= 120+ 132 + 145.2 + 159.72 + 175.692+193.2612+212.58732$

= 1138.46052

≅ 1138

6 0

2 years ago

To approximate the number of bees in a hive, multiply the number of bees that leave the hive in one minute by 3 and divide by 0.

AlekseyPX

Answer:

There are about 5,357 bees in the hive

Step-by-step explanation:

Let

x -----> the number of bees that leave the hive in one minute

y -----> the approximate number of bees in a hive

we know that

The formula to calculate the approximate number of bees in a hive is equal to

$y=\frac{3x}{0.014}$

For x=25

substitute

$y=\frac{3(25)}{0.014}$

$y=5,357\ bees$

therefore

There are about 5,357 bees in the hive

6 0

3 years ago

Read 2 more answers

Hello, I gotta turn it turn in this question today, help!!!!!!

Sladkaya [172]

Answer:

2 or -2

Step-by-step explanation:

If x² - 8x = -12

Step 1

We find x by solving

x² - 8x = -12

We equate to zero

x² - 8x + 12 = 0

We factorise

x² - 6x - 2x + 12 = 0

x(x - 6) -2(x - 6) = 0

(x - 6) (x - 2) = 0

x - 6 = 0, x = 6

x - 2 = 0, x = 2

x = 6 or 2

Step 2

What is x - 4?

When x = 6

= 6 - 4 = 2

When x = 2

= 2 - 4 = -2

Therefore, x - 4 = 2 or -2

3 0

3 years ago