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2 years ago

He graph of the function f(x) = –(x + 6)(x + 2) is shown below.

Mathematics

1 answer:

Molodets [167]2 years ago

6 0

The domain of the function is all real numbers, the range of a function is y ≤ 4

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = –(x + 6)(x + 2)

If we plot this function on the coordinate plane, we will see it is a graph of a quadratic function.

Here the no other details are given.

But we can say:

The domain of the function is all real numbers.
The range of a function is y ≤ 4
The x-axis intercept will be at (-6, 0) and (-2, 0).

Thus, the domain of the function is all real numbers, the range of a function is y ≤ 4

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You might be interested in

distribution has a mean if 18 standard deviation of 4 a value of 24 is how many standard deviations away from the mean

liraira [26]

A value of 24 is 2.5 standard deviations away from the mean

<h3>'How to determine the number of standard deviations away from the mean?</h3>

The given parameters about the distribution are:

Mean = 18

Standard deviation = 4

Value = 24

Let the number of standard deviations away from the mean be x.

The value of x is calculated using

Mean + Standard deviation * x = Value

Substitute the known values in the above equation

18 + 4 * x = 24

Subtract 18 from both sides of the equation

4 * x = 6

Divide both sides of the equation by 4

x = 1.5

Hence, a value of 24 is 2.5 standard deviations away from the mean

So, the complete parameters about the distribution are:

Mean = 18

Standard deviation = 4

Value = 24

24 is 2.5 standard deviations away from the mean

Read more about mean and standard deviation at:

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4 0

1 year ago

Elise has a budget of thirty dollars to spend on back-to-school clothes. she finds some shirts she likes that cost fifteen dolla

Alexandra [31]

X is equal to 2 because thirty divide fifteen is two

5 0

3 years ago

Evaluate:<br> g(x) = 3•2x+2 + 3<br> g(3)

Studentka2010 [4]

Answer:23

Step-by-step explanation:

3·2（3）+2+3

=3·6+2+3

=23

6 0

4 years ago

URGENT HELP What is the equation of the line that passes through the point (-7, -4) and has a

shepuryov [24]

The final equation is:

$y=x+3$

Further explanation:

The general form of equation of a line in slope-intercept form is:

$y=mx+b$

Here m is the slope

Given

m=1

(x,y) = (-7,-4)

$Putting\ the\ value\ of\ slope\ in\ equation\\y=(1)(x)+b\\y=x+b$

To find the value of b, we have to put the point in the equation

$-4=-7+b\\-4+7=b\\b=3$

The final equation is:

$y=x+3$

Keywords: Slope-intercept form, equation of line

Learn more about slope-intercept form at:

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7 0

3 years ago

Select the correct answer.

Kaylis [27]

For this case we have that by definition, the volume of a rectangular prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}:$ It is the area of the base of the prism

h: It is the height

$A_ {b} = w * l$

Where:

w: is the width

l: is the length

According to the data of the statement we have:

$w = 16 \ in\\l = 4h\\V = 4,096 \ in ^ 3$

Substituting the data we have:

$A_ {b} = 16 * 4h = 64h\\64h * h = 4,096\\64h ^ 2 = 4,096\\h ^ 2 = \frac {4096} {64}\\h ^ 2 = 64\\h = \pm \sqrt {64}\\$

We choose the positive value: $h = 8$

So the height is $8 \ in$

Answer:

$8 \ in$

6 0

3 years ago