What values are excluded from the domain and range of the function f(x)= x+3/2x+5?

Answer:

2622

Step-by-step explanation:

The answer can be found by adding up the volume of the two parts of the composite figure, which consists of a triangular prism and  a rectangular prism

Volume of the rectangular prism=(Width)(Height)(Length)

=12*7*19

=1596

Volume of the triangular prism=(Base area)(Height)

If the triangle consisting of the sides 9, 12, 15 is a right angled triangle, 9²+12²=15²

The statement above is true

The triangle above is a right angled triangle, where 9 is the height and 12 is the base

Triangle area=(height)(base)(0.5)

=9*12*0.5

=54

Volume of triangular prism=54*19

=1026

Adding up both=1596+1026=2622

V = V1 + V2

V1 = 0.5 x 9 x 12 x 19

V1 = 1,026

V2 = 12 x 19 x 7

V2 = 1,596

V = V1 + V2

V = 1,026 + 1,596

V = 2,622

The answer is 2,622.

Answer with Step-by-step explanation:

As we can clearly see from the graph the value of f(x)=0 at x=2 and x= -4

a. f(x)=|x-1|+3

at x=2

f(2)=|2-1|+3

    = 1+3

    =4

Hence, this function is not represented by the graph

c. f(x)=|x-1|-3

at x=2

f(2)= |2-1|-3

    = 1-3

    = -2

Hence, this function is not represented by the graph

d. f(x)=|x+1|+3

at x=2

f(2)= |2+1|+3

    = 3+3

    = 6

Hence, this function is not represented by the graph

Hence, Correct option is:

b. f(x)=|x+1|-3

Answer:

The answer is B

Step-by-step explanation:

\frac{d}{dx}\left(\frac{1+x^4+x^6}{x^2+x+1}\right)=\frac{4x^7+5x^6+8x^5+3x^4+4x^3-2x-1}{\left(x^2+x+1\right)^2}

copy and paste that into a URL

The missing value in the table is 38, obtained by using the concept of average rate of change which is consistent across the given values, suggesting that the function is linear.

In this question, the student needs to find the unknown value denoted by the "?" in the table of a function f(x), whose x-values are -2, 2, 5, 9, and the corresponding f(x)-values are 5, 17, 26, and unknown (?) respectively.

To predict the next value, we can use the concept of the average rate of change which is defined as the difference in the y-values divided by the difference in the x-values over the interval. This rate of change is the same between every pair of successive x-values in this table which suggests that the function might be linear.

We can calculate this using the formula, Average Rate of Change = Δf(x) / Δx. To illustrate, the average rate of change from x = -2 to x = 2 is (17-5) / (2 - (-2)) = 12 / 4 = 3. Similarly, the change from x = 2 to x = 5 is (26 - 17) / (5 - 2) = 9 / 3 = 3. Thus, the average rate of change is constant and equals 3.

If we follow the same pattern, then the missing f(x) value when x = 9 should be 26 (the last provided y-value) plus 4 (which is the next x interval) times 3 (the average rate of change) = 26 + 4*3 = 38. Hence, the missing value denoted by "?" is 38.

https://brainly.com/question/34745120

#SPJ12

[tex]\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{-8})~\hspace{10em} slope = m\implies -\cfrac{5}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-8)=-\cfrac{5}{4}(x-8)\implies y+8=-\cfrac{5}{4}(x-8)[/tex]

The equation in point-slope form for this line is 4y = -5x + 8.

The equation of a straight line in the form y = mx + c where m is the slope of the line and c is its y-intercept is known as the point-slope form. Here both the slope (m) and y-intercept (c) have real values. It is known as point-slope form as it gives the definition of both the slope, y-intercept and the points mentioned in the line.

It is given that the line passes through the point (8.-8) and has a slope of -5/4.

The general representation for straight line is y = mx + c .

Here, m = -5/4 , x = 8 and y = -8 .

Thus we have ,

⇒ -8 = -5/4 * 8 + c

⇒  c = 10 - 8

∴   c = 2

The y-intercept is 2.

The equation of straight line becomes,

⇒ y = -(5/4)x + 2

∴  4y = -5x + 8

Therefore, the equation in point-slope form for this line is 4y = -5x + 8.

To learn more about  point-slope form, refer -

https://brainly.com/question/18617367

#SPJ2

Answer:

The factor of the volume of the figure increased is 64

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared and the ratio of its volumes is equal to the scale factor elevated to the cube

step 1

Find the scale factor

Let

z ----> the scale factor

z²=16

z=4 -----> scale factor

so

z³=4³=64

The factor of the volume of the figure increased is 64

Answer:

The volume of the rectangular prism will increase by a factor of 64.

Step-by-step explanation:

Surface area = [tex]length\times length[/tex]

or [tex]\sqrt{surface area} =length[/tex]

Therefore, the increase in the length of the sides will be = [tex]\sqrt{16}=4[/tex]

We know the volume is =[tex]length\times width\times height[/tex]

When there is increase in length of sides by 4 times, then volume will increase by [tex]4^{3}[/tex]

And [tex]4^{3}[/tex] = [tex]4\times4\times4=64[/tex]

Hence, the volume of the rectangular prism will increase by a factor of 64.

Answer:

y = -3x+17

Step-by-step explanation:

1. Find the change in y corresponding to the change in x. In this case x is changing by +3 and y is changing by -3. That is your m in y=mx=b.

2. y= -3x + b

To find b substitute a set into the equation. I used 4 and 5.

5= -3(4) +b

3. 5= -12 +b ,add  12 to both sides.

17= b

4. y = -3x+17

Answer:

a y=  -x+9

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

hope this helps!!!

Answer:

Use distributive property:

2x + 12 = 3x - 12 + 5

Step-by-step explanation:

This can allow for combining like terms later on, and eventually isolating x as a variable.

For this case we have the following equation:

[tex]2 (x + 6) = 3 (x-4) +5[/tex]

The first step we must follow to solve the equation is to apply distributive property to the terms within the parenthesis:

[tex]a (b + c) = ab + ac[/tex]

Then, the equation is:

[tex]2x + 12 = 3x-12 + 5[/tex]

Answer:

The first step is to apply distributive property to the terms within parentheses.

Answer:

y ≈ 358.3 ft

Step-by-step explanation:

The angle in the right side of the triangle = 28° ( alternate angle )

Using the tangent ratio in the right triangle to solve for y

tan28° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{350}{y}[/tex]

Multiply both sides by y

y × tan28° = 350 ( divide both sides by tan28° )

y = [tex]\frac{350}{tan28}[/tex] ≈ 658.3 ft

y = 658.3ft. The value of the side y of the right triangle shown in the image is 658.3ft.

The key to solve this problem we have to use the trigonometric functions tan θ = opposite leg/adjacent leg

To find side y, where opposite leg = 350ft, adjacent leg = y, and θ = 28° by symmetry:

tan θ = opposite leg/adjacent leg

tan 28° = 350ft/y

Clear y:

y = 350ft/tan 28°

y = 658.254ft

Round to the nearest tenths y = 658.3ft

Answer:

x = (C-By)/A

Step-by-step explanation:

Ax+ By = C

We want to isolate x

Subtract By from both sides

Ax+ By-By = C-By

Ax = C - By

Now divide both sides by A

Ax/A = (C-By)/A

x = (C-By)/A

[tex]Ax+ By = C\\Ax=C-By\\x=\dfrac{C-By}{A}[/tex]

Answer:

25%

Step-by-step explanation:

Since Normal Distribution is symmetrical Distribution and 5.3 and 10.7 are both 2.7 below and 2.7 above the mean respectively.

So, % of students less than 5.3 hours per week is 25%

Answer:

values of x,y and z are x = -2, y= -9 and z=5

Step-by-step explanation:

2x+4y+1z=−35    eq(1)

3x+7y+7z=−34    eq(2)

2x+10y+6z=−64  eq(3)

We can solve using elimination method

Subtracting eq (1) from eq(3)

2x + 10y +6z = -64

2x +4y +1z = -35

______________

6y + 5z = -29     eq(3)

Multiplying eq(2) with 2 and eq(3) with 3 and subtracting

6x + 14y +14z = -68

6x + 30y +18z = -192

-     -         -          +

_________________

-16y -4z = 124     eq(4)

Multiply eq(3) with 4 and eq(4) with 5 and add both equations

24y + 20z = -116

-80y - 20z = 620

______________

-56y = 504

y = -504/56

y= -9

Putting value of y in equation(3)

6y + 5z = -29

6(-9) + 5z = -29

-54 + 5z = -29

5z = -29+54

5z = 25

z = 25/5

z =5

Now, putting value of y and z in eq(1)

2x + 4y +1z = -35

2x + 4(-9) +1(5) = -35

2x -36+5 = -35

2x -31 = -35

2x = -35+31

2x = -4

x= -4/2

x=-2

So, values of x,y and z are x = -2, y= -9 and z=5

Answer:

"The electrician charges an initial fee of $42", AND "The electrician charges $22 for every hour worked" is true.

Step-by-step explanation:

The equation is y=22x+42.

The formula is y=mx+b.

m is the slope, or is this case, the number of dollars for every "x", which is the number of hours worked. So you have to pay $22 for every hour the electrician works.

b is the y-intercept, or the amount it starts with, in this case, you have to pay a fee of $42 even when the electrician worked 0 hours. This is because $42 is the amount it starts with.

On a graph, the line will start at (0,42) because that is when you start paying. And then it will increase by 22 for each hour, so the next coordinate would be (1,64).

The equation y = 22x + 42 indicates that an electrician charges a base fee of $42, plus an additional $22 for every hour worked. Thus, the correct statements are 'The electrician charges an initial fee of $42' and 'The electrician charges $22 for every hour worked.'

The equation y = 22x + 42 is a linear function where the y-variable represents the total dollars the electrician charges and the x-variable represents the number of hours worked. From this equation, we can immediately discern two truths:

https://brainly.com/question/32914656

#SPJ11

Answer:

- [tex]\frac{\sqrt{2-\sqrt{2} } }{2}[/tex]

Step-by-step explanation:

Note that [tex]\frac{5\pi }{8}[/tex] is in the second quadrant

where cos < 0 , hence overall sign will be negative

Using the half- angle formula

cos [tex]\frac{5\pi }{8}[/tex]

= - [tex]\sqrt{\frac{1+cos\frac{5\pi }{4} }{2} }[/tex]

= - [tex]\sqrt{\frac{1-\frac{\sqrt{2} }{2} }{2} }[/tex]

= - [tex]\sqrt{\frac{2-\sqrt{2} }{4} }[/tex]

= - [tex]\frac{\sqrt{2-\sqrt{2} } }{2}[/tex]

Answer:

[tex]\sqrt{85}[/tex] (about 9.2195) units

Step-by-step explanation:

The formula for the distance between two points is: [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Substitute the values. [tex]\sqrt{(-5 - 4)^2 + (8 - 6)^2}[/tex]

Subtract. [tex]\sqrt{(-9)^2 + 2^2}[/tex]

Solve the exponents. [tex]\sqrt{81 + 4}[/tex]

Add. [tex]\sqrt{85}[/tex]

This is as simple as the solution can get without estimating, but we can use a calculator to estimate that the distance is about 9.2195 units.

Hey there! :)

Find the distance between (-5, 8) (4, 6)

The formula to find the distance is : d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2[/tex]

Where : -5 = x1 , 4 = x2 , 8 = y1 , 6 = y2

Now, simply plug everything into our equation.

[tex]d = \sqrt{(4 + 5)^2 + (6 - 8)^2}[/tex]

Let's simplify this now.

[tex]d = \sqrt{9^2 - 2^2}[/tex]

Simplify again.

[tex]d = \sqrt{81 + 4} = \sqrt{85}[/tex]

Therefore, our distance is [tex]\sqrt{85}[/tex] OR 9.22

Hope this helped! :)

Answer:

-4

Step-by-step explanation:

mark branliest :))

Hello There!

The quotient of 32 and -8 is -8.

When dividing a positive number by a negative number, your final result will always end up with a negative number so 32 divided by 8 is 4 but it will be -4 instead of 4

Answer:

If each linear function is given as a set of two ordered pairs, you need to use those points to find the equation of each line, and then solve the system of equations.

For example:

Let's say that f(x) has the following ordered pais: (a, b) and (c, d) and g(x) has the following ordered pais: (e, f) and (g, h). We know that the general equation of a line is the following:

(y - yo) = m(x-xo), where 'm' represents the slope and (xo, yo) any point from the line.

The slope will be given by: (y1 - yo)/(x1 - x0).

For example, the equation of the line of f(x) is:

f(x) = (y - b) = [(d - b)/(c - a)](x-a)

You do the same for the function g(x), and then you are all set to solve the system of equations!

Answer:

Sample response: Use the two points of a linear function to write an equation in slope-intercept form by first finding the slope of the function, and then using a point and the slope to determine the y-intercept. Write the equations in slope-intercept form.

Answer:

 [tex]f(-\frac{1}{2}) = 1[/tex]

[tex]g(-\frac{1}{2} ) = -\frac{3}{2}[/tex]

Step-by-step explanation:

Given the function [tex]f(x) = 4x + 3[/tex] and the function [tex]g(x) = 3x[/tex], to evaluate for [tex]x=-\frac{1}{2}[/tex], you need to substitute it into each function.

Then, for the function f(x), when  [tex]x=-\frac{1}{2}[/tex], you get:

 [tex]f(-\frac{1}{2}) = 4(-\frac{1}{2}) + 3[/tex]

 [tex]f(-\frac{1}{2}) = 4(-\frac{1}{2}) + 3[/tex]

 [tex]f(-\frac{1}{2}) = -\frac{4}{2}+ 3[/tex]

 [tex]f(-\frac{1}{2}) = -2 + 3[/tex]

 [tex]f(-\frac{1}{2}) = 1[/tex]

For the function g(x), when  [tex]x=-\frac{1}{2}[/tex], you get:

[tex]g(-\frac{1}{2} ) = 3(-\frac{1}{2})[/tex]

 [tex]g(-\frac{1}{2} ) = -\frac{3}{2}[/tex]

Answer:

f(-1/2) = 1

g(-1/2) =-3/2

Step-by-step explanation:

f(x) = 4x+3

Let x = -1/2

f(-1/2) = 4(-1/2) +3

f(-1/2) = -2 +3

f(-1/2) =1

g(-1/2) = 3(-1/2)

          = -3/2  

Answer:

22 and 0

Step-by-step explanation:

−44 > −2x − 8 ≥ −8?

/-2    - 44  > -2x / .  -2      -8 ≥ -8

        = 22                              +8 =0

Answer:

An equivalent form of the compound inequality is the pair of single inequalities:

Explanation:

You can split the compound inequality into two equivalent inequalities by taking each side from the variable.

The compound inequality −44 > −2x − 8 ≥ −8 means that two conditions must be satisfied:

    1. From the left side: - 44 > - 2x - 8

    2. From the right side: −2x − 8 ≥ −8

Then, as a first approach you can tell that an equivalent form of the compound inequality is the pair of single inequalities:

You should put the variable on the left sides, which will yield the best form of an equivalent pair of inequalitis.

That is the best choice of an equivalent form, and from there you can solve the inequalities which will permit to obtain the solution. Of course, you can manipulate the variable and find many other equivalent forms.

Notice, that both inequalities must be satisfied simultaneously.

This is how you solve that system

        Add 8 to both sides: - 2x < -36

         Divide both sides by - 2 (you have to change the sign): x > 18

-

        Add 8 to both sides: - 2x ≥ 0

        Divide by - 2 (again, you must change the sign): x ≤ 0

Then, the solution set is:

This is, you conclude that the compound inequality is false, because there is not a value of x which is a solution.

Y is the Audio Book.

"determine the price of one music album and one audio book"

"She lets x represent the cost of one music album."

According to this information "One Audio Book" should be the correct answer. Have a great day!

Answer:

y will represent the cost of one audio book.

Step-by-step explanation:

Here, the cost of 3 music albums and 5 audio books is $49.60 and 1 music album and 2 audio books is $20.50,

Since, there are two unknown values,

First one is the cost of one music album,

Second one is the cost of one audio book,

We know that, for finding an unknown value we take a variable,

If we have variables x and y in which x represent the cost of one music album, then y must represent the cost of one audio album.

Answer:

120°.

Step-by-step explanation:

The sum of all interior angles in a polygon with [tex]n[/tex] sides ([tex]n\in \mathbb{Z}[/tex], [tex]n \ge 3[/tex]) is equal to [tex](n - 2) \cdot 180^{\circ}[/tex]. (Credit: Mathsisfun.)

The polygon here has 6 sides. [tex]n = 6[/tex]. Its interior angles shall add up to [tex](6 - 2) \times 180^{\circ} = 720^{\circ}[/tex].

Consider the properties of a regular polygon. (Credit: Mathsisfun.)

There are six interior angles in a polygon with 6 sides. All six of them are equal. Thus, each of the six interior angle will be

[tex]\displaystyle \frac{1}{6}\times 720^{\circ} = 120^{\circ}[/tex].

Answer:

Part 1) The volume of pyramid A is two times the volume of pyramid B

Part 2) The new volume of pyramid B is equal to the volume of pyramid A

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the base of pyramid

h is the height of the pyramid

Part 1

The heights of the pyramids are the same

Find the volume of pyramid A

Find the area of the base B

[tex]B=10*20=200\ m^{2}[/tex]

substitute

[tex]VA=\frac{1}{3}(200)h[/tex]

[tex]VA=\frac{200}{3}h\ m^{3}[/tex]

Find the volume of pyramid B

Find the area of the base B

[tex]B=10^{2}=100\ m^{2}[/tex]

substitute

[tex]VB=\frac{1}{3}(100)h[/tex]

[tex]VB=\frac{100}{3}h\ m^{3}[/tex]

Compare the volumes

[tex]VA=2VB[/tex]

The volume of pyramid A is two times the volume of pyramid B

Part 2)

If the height of pyramid B increases to twice that of pyramid A

we have that

[tex]VA=\frac{200}{3}h\ m^{3}[/tex]

Find the new volume of pyramid B

we have

[tex]B=100\ m^{2}[/tex]

[tex]h=2h\ m[/tex]

substitute

[tex]VB=\frac{1}{3}(100)(2h)[/tex]

[tex]VB=\frac{200}{3}h\ m^{3}[/tex]

Compare the volumes

[tex]VA=VB[/tex]

The new volume of pyramid B is equal to the volume of pyramid A

Answer:

The volume of pyramid A is  twice the volume of pyramid B. If the height of pyramid B increases to twice that of pyramid A, the new volume of pyramid B is  equal to  the volume of pyramid A.

Step-by-step explanation:

Correct for plato :)

Answer:

0.05

Step-by-step explanation:

This question is on probability

A uniform distribution means there is equal probability density for every number.

This  graph will be distributed to form a rectangle with area 1 unit square.

The base/range = 58-48 =10

Height of rectangle should be such that the area is 1 square unit. i.e 1/10 units

The probability will be found by calculating the area under the graph;

P( 51.25≤ x ≤ 51.75) , Area = (51.75-51.25)×1/10

0.5/10 =0.05

Answer:

[tex]\large\boxed{V=140\ in^3}[/tex]

Step-by-step explanation:

[tex]V=\dfrac{Bh}{3}\to\text{it's a formula of a volume of a pyramid or a cone}\\\\B-base\ area\\h-height\\\\\text{We have}\ B=15\ in^2\ \text{and}\ h=28\ in.\\\\\text{Put the given values to the formula of a volume:}\\\\V=\dfrac{(15)(28)}{3}=(5)(28)=140\ in^3[/tex]

Answer:

right 2, up 3

Step-by-step explanation:

The original function is:

[tex]f(x) = x^2[/tex]

Translated to:

[tex]g(x)=(x-2)^2+3[/tex]

Lets look at the constants that are added or subtracted to determine the transformation.

As -2 is is added to x (grouped with x), the transformation is a horizontal transformation. The shift is of two to the right.

As +3 is not grouped with x, the transformation is vertical. The shift is vertical shift of 3 to upward direction.

So the correct answer is:

right 2, up 3 ..

Answer:

[tex]\large\boxed{y=\dfrac{5}{9}x+\dfrac{19}{9}}[/tex]

Step-by-step explanation:

[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===================================\\\\\text{We have the equation i the standard form.}\\\text{ Convert it to the slope-intercept form}\ y=mx+b:\\\\5x+9y=-9\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\9y=-5x-9\qquad\text{divide both sides by 9}\\\\y=-\dfrac{5}{9}x-1\to m_1=-\dfrac{5}{9}\\\\m_2=-\dfrac{1}{m_1}\to m_2=-\dfrac{1}{-\frac{5}{9}}=\dfrac{9}{5}[/tex]

[tex]\text{We have the equation:}\\\\y=\dfrac{5}{9}x+b\\\\\text{Put the coordinates of the point (-2, 1) to the equation:}\\\\1=\dfrac{5}{9}(-2)+b\\\\1=-\dfrac{10}{9}+b\qquad\text{add}\ \dfrac{10}{5}\ \text{to both sides}\\\\\dfrac{19}{9}=b\to b=\dfrac{19}{9}[/tex]