All categories

2 years ago

The volume of a landfill doubles every three years. Write an exponential function to represent this.

1 answer:

7 0

The equation would be: V = A2^(Y/3)

The basic form of an exponential equation is y = ab^x.

The a is the starting amount. In this problem, we don't know that, so we just leave it as a.

The b is the rate. In this case, we are doubling the volume so we times it by 2.

The x is the amount of years. Since it is every 3 years, we can divide the x by 3.

You might be interested in

Find the average value of the function y = 6 - x2 over the interval [-1, 4]

kari74 [83]

Answer:

The average value of the function $f(x) = 6 - x^{2}$ over the interval $[-1,4]$ is $\frac{5}{3}$ .

Step-by-step explanation:

The average value of a function over an interval is represented by this integral:

$\bar y = \frac{1}{b-a}\cdot \int\limits^{b}_{a} {f(x)} \, dx$

Where:

$a$ , $b$ - Lower and upper bounds of the interval, dimensionless.

$f(x)$ - Function, dimensionless.

If $a = -1$ , $b = 4$ and $f(x) = 6 - x^{2}$ , the average value of the function is:

$\bar y = \frac{1}{4-(-1)}\int\limits^{4}_{-1} {6-x^{2}} \, dx$

$\bar y = \frac{6}{5}\int\limits^{4}_{-1} \, dx - \frac{1}{5}\int\limits^{4}_{-1} {x^{2}} \, dx$

$\bar y = \frac{6}{5}\cdot x |_{-1}^{4} - \frac{1}{15}\cdot x^{3}|_{-1}^{4}$

$\bar y = \frac{6}{5}\cdot [4-(-1)]- \frac{1}{15}\cdot [4^{3}-(-1)^{3}]$

$\bar y = \frac{5}{3}$

The average value of the function $f(x) = 6 - x^{2}$ over the interval $[-1,4]$ is $\frac{5}{3}$ .

4 0

3 years ago

Y=1.9x-6

Sauron [17]

Substitute the first equation, y = 1.9x - 6 into the second one for y.

3(1.9x - 6) = 5.7x - 18

Distribute the 3.

5.7x - 18 = 5.7x - 18

This means that there are infinite solutions, since the two equations are the exact same lines.

Hope this helps!

5 0

2 years ago

John watched television for 1 hour 35 minutes. Later he read. He watched television and read for a total of 3 hours 52 minutes.

liubo4ka [24]

Answer:

2hours and 17 minutes

Step-by-step explanation:

7 0

3 years ago

Write each equation in slope-intercept form. Then find the slope and y-intercept of each line 9x-2y-10

jarptica [38.1K]

Slope=10/9 . y-intercept= -5. so equation would be y=10/9x-5

7 0

2 years ago

Help me to answer questions

Vadim26 [7]

C, please help me on mine

4 0

3 years ago