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3 years ago

Convert the following improper fraction to a whole number or a mixed number: 41/6

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

7 0

Answer:

6 and 5 over 6

6 5/6

Step-by-step explanation:

it would be a mixed fraction because 6 can't go into 41 evenly

topjm [15]3 years ago

5 0

Answer:

Hope that this helps!

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PLEASE HELP WILL MARK BRAINLIEST

daser333 [38]

Answer:

f(-4) = 5

Step-by-step explanation:

Explanation of

| 5, x < -3

f(x) | 2x² - 4, -3 ≤ x ≤ 4

| 1 - 6x , x > 4

When the x in f(x) is less than -3 than f(x) = 5

When the x in f(x) is greater than -3 but less than 4 then f(x) = 2x² - 4

When the x in f(x) is greater than 4 than f(x) = 1 - 6x

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Now that we know this lets look back at the question.

We want to find f(-4).

Looking at the piece wise function we see that f(-4) follow x < -3 as "x" or -4 is less than -3. When x is less than -3, f(x) = 5, hence f(-4) = 5

3 0

3 years ago

What is the domain of this relation?<br><br> {(5,6), (5,3), (5,1), (5,0), (5,-6), (5,-10)}

mr Goodwill [35]

Answer:

Step-by-step explanation:

All of the x values are 5, so the domain is 5

7 0

2 years ago

In a poll, 1,004 adults in a certain country were asked whether they favor or oppose the use of "federal tax dollars to fund m

WARRIOR [948]

Answer:

The range of values likely to contain the true value of the population parameter is between 44% and 52%.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

These bounds are dependent of the sample mean and of the margin of error.

The lower bound is the sample mean subtracted by the margin of error, while the upper bound is the margin of error added to the sample mean.

The confidence interval is likely to contain the true value of the population parameter.

In this question:

Sample mean: 48%

Margin of error: 4%

48 - 4 = 44%

48 + 4 = 52%

The range of values likely to contain the true value of the population parameter is between 44% and 52%.

7 0

3 years ago

Solve by elimination 8x-6y=-20 -16x+7y=30

guajiro [1.7K]

The answer is

X=-1

Y=2

7 0

3 years ago

give the answers to the remaining boxes left blank, you can give the answers all in one sentence starting from the first blank b

Thepotemich [5.8K]

The domain of the functions are:

The domain of f(x) = √4x + 6 is [-3/2, ∞) or x >-3/2
The domain of g(x) = -4√-20x - 6 is (-∞, -3/10] or x < -3/10
The domain of f(x) = 15 + √5x - 16 is [16/5, ∞) or x >16/5
The domain of p(x) = √20x + 6 is (-3/10, ∞] or x > -3/10

<h3>What are the domains of a function?</h3>

The domain of a function is the set of input values the function can take i.e. the set of values the independent variable can assume?

<h3>How to determine the domain of the functions?</h3>

<u>Function 1</u>

The function is given as:

f(x) = √4x + 6

Set the radicand greater than 0

4x + 6 > 0

Subtract 6 from both sides

4x > -6

Divide by 4

x > -3/2

Express as interval notation

[-3/2, ∞)

Hence, the domain of f(x) = √4x + 6 is [-3/2, ∞) or x >-3/2

<u>Function 2</u>

The function is given as:

g(x) = -4√-20x - 6

Set the radicand greater than 0

-20x - 6 > 0

Add 6 to both sides

-20x > 6

Divide by -20

x < -6/20

Simplify

x < -3/10

Express as interval notation

(-∞, -3/10]

Hence, the domain of g(x) = -4√-20x - 6 is (-∞, -3/10] or x < -3/10

<u>Function 3</u>

The function is given as:

f(x) = 15 + √5x - 16

Set the radicand greater than 0

5x - 16 > 0

Add 16 to both sides

5x > 16

Divide by 5

x > 16/5

Express as interval notation

[16/5, ∞)

Hence, the domain of f(x) = 15 + √5x - 16 is [16/5, ∞) or x >16/5

<u>Function 4</u>

The function is given as:

p(x) = √20x + 6

Set the radicand greater than 0

20x + 6 > 0

Subtract 6 from both sides

20x > -6

Divide by 20

x > -6/20

Simplify

x > -3/10

Express as interval notation

(-3/10, ∞]

Hence, the domain of p(x) = √20x + 6 is (-3/10, ∞] or x > -3/10