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2 years ago

What is the inverse of the equation f(x)=3x−8

Mathematics

1 answer:

inysia [295]2 years ago

6 0

Should be 8)/3 = (3x - 8 + 8)/3 = 3x /3 = x.

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in massaschusetts a team of scientists studying great white sharks estimate that a population of 15000 seals support fewer than

Evgen [1.6K]

Answer:

The higher you go in the good chain the lower the population.

Explanation:

In the food web, there are only a few sharks since in the food chain they are higher. Just 10% energy is retained in the tissues once the energy is moved from one trophic level to another, and the leftover power is emitted as metabolic energy.

If an animal is high up the energy ladder, the individual has less resources; thus, a few of the highest predators are present in an ecosystem.

3 0

2 years ago

Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

$log_b(1) = 0$

Logarithm of the base:

$log_b(b) = 1$

Product rule:

$log_b(xy) = log_b(x) + log_b(y)$

Division rule:

$\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)$

Power rule:

$log_b(x^n) = n\cdot log_b(x)$

Change of base:

$\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}$

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

5 0

2 years ago

Sam's T-shirt business uses the demand function P =-Q + 26 and the

sergij07 [2.7K]

I think it is B
Hope this help you?????

7 0

2 years ago

What is the value of x?

artcher [175]

By Sine Rule,

x/sin30° = 8/sin90°

x/0.5 = 8/1

So x = 4.

8 0

2 years ago

Read 2 more answers

To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $7.40 per hour. The chemistr

Mamont248 [21]

T= # of rental hours
Reservation Fee= $31
Per Hour Fee= $7.40

Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $97.60.

Res Fee + ($ per hr * # hrs) < $97.60

$31 + $7.40t < $97.60
subtract 31 from both sides

7.40t < 66.60
divide both sides by 7.40

t < 9

ANSWER: To spend less than $97.60, they need to rent the room less than 9 hours.

Hope this helps! :)

7 0

2 years ago