16+2x=10+8x WILL MARK BRAINLIEST

Use the graph to determine the solution of the inequality |x + 1| + 2 > 5. (–4, 2) (0, 3)

aleksandr82 [10.1K]

Answer:

the answer is A

Step-by-step explanation:

i got it right

5 0

4 years ago

6-2x+x+8 giving 50 pts

SVEN [57.7K]

Answer:

here = − x + 14

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A function f has the following verbal description: multiply by 3, add 5, and

STALIN [3.7K]

Regarding the functions in this problem, it is found that:

a) The verbal description of the inverse is: Take the third root, subtract by 5 and divide by 3.

b) The formulas are:

f(x) = (3x + 5)³.

$f^{-1}(x) = \frac{\sqrt[3]{x} - 5}{3}$

c) The compositions result in x, hence they are inverses.

<h3>How to obtain the inverse function?</h3>

The original function is described as follows:

Multiply by 3: 3x.

Add 5: 3x + 5.

Take the third power: (3x + 5)³.

Hence the function is:

y = (3x + 5)³.

To obtain the inverse functions, we exchange x and y and then isolate y, hence:

x = (3y + 5)³

$\sqrt[3]{x} = \sqrt[3]{(3y+5)^3}$

$3y + 5 = \sqrt[3]{x}$

$3y = \sqrt[3]{x} - 5$

$y = \frac{\sqrt[3]{x} - 5}{3}$

$f^{-1}(x) = \frac{\sqrt[3]{x} - 5}{3}$

The verbal description of the inverse is:

Take the third root. sqrt[3](x).

Subtract by 5: sqrt[3](x) - 5.

Divide by 3.

The compositions are given as follows:

$f(f^{-1}(x)) = f\left(\frac{\sqrt[3]{x} - 5}{3}\right) = \left(3\left(\frac{\sqrt[3]{x} - 5}{3}\right + 5)\right)^3 = (\sqrt[3]{x})^3 = x$

$f^{-1}(f(x)) = f^{-1}((3x + 5)^3) = \frac{\sqrt[3]{(3x + 5)^3} - 5}{3} = \frac{3x + 5 - 5}{3} = x$

More can be learned about inverse functions at brainly.com/question/11735394

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4 0

2 years ago

If two events (both with probability greater than 0) are mutually exclusive, then? a. they also must be independent. b. they als

vlabodo [156]

option c is correct that if the two events are mutually exclusive than they cannot be independent.

As, we know that "mutually exclusive events are those events that do not occur at the same time".

Mutually exclusive events do not share any sample points with each other, so they cannot occur at same time. Thus, if event A and event B are mutually exclusive, they are actually inextricably dependent on each other because A's existence reduces event B's probability to zero and vice-versa.

Therefore, two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually exclusive, then when one of them occurs, the probability of the other must be zero.

Hence, option c is correct that if the two events are mutually exclusive than they cannot be independent.

Find out more information about mutually exclusive events here:

brainly.com/question/17136647

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6 0

2 years ago

Please help with solving this problem....!!!

kifflom [539]

Answer:

The Average Temperature for the week is -1°C

Step-by-step explanation:

First to find the average, you have to combine all the numbers

-3-4+0-2+0+3-1 = -7

Then you have to divide the total, with the number of numbers used to combine to make the total

-7 ÷ 7 = -1

The average temperature is -1°C

6 0

4 years ago