All categories

3 years ago

Item 2 Solve the equation. 6.7x=5.2x+12.3

1 answer:

6 0

To solve for x, subtract 5.2x on both sides to get 1.5x=12.3. divide 1.5 on both sides to get x = $\frac{123}{15}$ or x = $\frac{41}{5}$ = 8.2

You might be interested in

A quantity with an initial value of 9100 grows continuously at a rate of 0.85% per hour. What is the value of the quantity after

ycow [4]

Answer:

$10,962,54$

Step-by-step explanation:

we know that

The equation of a exponential growth is equal to

$y=a(1+r)^x$

where

a is the initial value

r is the rate of growth

x is the time in hours

y is the value of the quantity

we have

$a=9,100\\r=0.85\%=0.85/100=0.0085$

substitute

$y=9,100(1+0.0085)^x$

$y=9,100(1..0085)^x$

For x=22 hours

substitute

$y=9,100(1..0085)^{22} =10,962,54$

4 0

3 years ago

Read the passage below and summarise it in a minimum of 100 words:

muminat

Answer:

Find the summary below.

Step-by-step explanation:

The article compares the standard of healthy living some hundred years ago to what is obtainable in our world today. While the energy gained through food consumption some years ago was just adequate and at the right proportion, what is consumed today, supplies energy that is on an all-time high. This misuse of resources led to the development of sustainable development practices such as planting of trees, exercise routines which are done occasionally.

Another sustainable practice that can be done on a more regular basis is the use of jute or paper bags which are more biodegradable, instead of plastic bags. Finally, the article encourages the adoption of more sustainable practices because they can be more economical compared to the other practices that are presumed to be the status quo.

4 0

3 years ago

State the domain and range of both the function and the inverse function. f(x) = 8 x + 8 f -1(x) = Domain of f(x): Range of f(x)

Katena32 [7]

Answer:

$f^{-1}(x) = \frac{x+8}{8}$

Domain of f(x): All real values.

Range of f(x): All real values.

Domain of f -1(x): All real values.

Range of f -1(x): All real values

Step-by-step explanation:

We are given the following function:

$f(x) = 8x + 8$

Since it is a line, we have that both the domain is the range is the real set.

Inverse function:

The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.

Finding the inverse function:

Exchange x and y in the original function, and isolate y. So

Original

$y = 8x + 8$