Solve for x: 3x - 5 = 9x + 8 - 5x

Answers

Answer 1

Answer:

X= -13

Step-by-step explanation:

Answer 2

Your first goal is to get all the X’s to one side of the equation.

So:

3x - 5 = 9x + 8 - 5x

+5x +5x

8x - 5 = 9x + 8

-9x -9x

-1x - 5 = 8

Now that you have all the X variables simplified and on one side, you make sure all of you constant terms are on the other side.

-1x - 5 = 8

+5 +5

-1x = 13

Because you can’t have a negative X, you divide the entire equation by -1.

-1x = 13

-1

x = -13

Dividing by -1 will give you the inverse of the equation which is positive one x equals negative thirteen.


Related Questions

which parent function is represented by the graph

Answers

Answer:

D. Reciprocal parent function

Step-by-step explanation:

The given function has the x-axis as the horizontal asymptote

The vertical asymptote is the line x=0, which is the y-axis.

This means that the function has x, in the denominator.

Therefore, the function represented by the graph is [tex]\frac{1}{x}[/tex].

This is the parent reciprocal function.

The correct choice is D

D is the correct answer right

Answers

Answer: the answer is A

Step-by-step explanation:

Calculate the area of a circle with a radius of 8 feet

Answers

Answer:

201.06 square feet

Step-by-step explanation:

area of a circle is given by πr², where π = 3.1416

A = 3.1416 * 8²

A = 3.1416 * 64 = 201.0624 square feet

A = 201.06 square feet

Draw a 30° angle in standard position on the coordinate plane. Show the direction of rotation. Label the terminal side and the angle measure.

Answers

also the direction is anti clockwise

I hope it could help you :)

Final answer:

To draw a 30° angle in standard position on the coordinate plane, start by drawing the initial side of the angle which is the positive x-axis. Use a protractor to measure a 30° angle counterclockwise from the initial side. Then draw a line from the origin to the endpoint of the angle to represent the terminal side. Label the angle measure as 30° and label the terminal side accordingly. Indicate the direction of rotation by drawing an arrow showing the counterclockwise direction.

Explanation:

To draw a 30° angle in standard position on the coordinate plane, follow these steps:

Start by drawing the initial side of the angle, which is the positive x-axis.Using a protractor, measure a 30° angle counterclockwise from the initial side.Draw a line from the origin to the endpoint of the angle to represent the terminal side.Label the angle measure as 30° and label the terminal side accordingly.Indicate the direction of rotation by drawing an arrow showing the counterclockwise direction.

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Which of the following statements are true of the graph of the function f(x) = (x+5)(x-3)

_ the graph has a relative maximum
_ the graph has a relative minimum
_ the graph has an x-intercept at (5,0)
_ the graph has an x-intercept at (3,0)
_ the graph has a y-intercept at (0,-15)
_ the axis of symmetry is x= -2

Answers

The answer is the graph has a relative maximum

y= -3x^2-24x-46 write in vertex form

Answers

ANSWER

[tex]y= -3{(x + 4)}^{2} + 2[/tex]

EXPLANATION

The given function is:

[tex]y= -3x^2-24x-46[/tex]

Factor -3 for the first 2 terms.

[tex]y= -3(x^2 + 8x)-46[/tex]

We add and subtract the square of the coefficient of x.

[tex]y= -3(x^2 + 8x + {(4)}^{2} ) - - 3( {4)}^{2} -46[/tex]

Factor the perfect square trinomial.

[tex]y= -3 {(x + 4)}^{2} ) + 48 -46[/tex]

The vertex form is:

[tex]y= -3{(x + 4)}^{2} + 2[/tex]

the radius of a cylinder is multiplied by 6 while the height is kept the same. what effect does this have in the volume of the cylinder​

Answers

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=\stackrel{\times 6}{6r} \end{cases}\implies V=\pi (6r)^2 h\implies V=\pi (6^2r^2) h \\\\\\ V=36~~\pi r^2 h\impliedby \textit{36 times the original volume}[/tex]

The effect that multiplying the radius by 6 would have on the volume of the cylinder is the volume would increase by a factor of 36

Calculating the volume of a cylinder

From the question, we are to determine what effect multiplying radius by 6 would have on the cylinder

Using the formula for calculating the volume of a cylinder

V = πr²h

Where V is the volume of the cylinder

r is the radius

and h is the height

If the r is the radius and h is the height of the first cylinder,

Then, volume of the first cylinder will be

V = πr²h

For the new cylinder

radius = 6r

and h = h

Then, volume of the new cylinder will be

V₂ = π × (6r)² × h

V₂ = π × 36r² × h

V₂ = 36πr²h

The new volume is multiplied by a factor of 36

Hence, the effect that multiplying the radius by 6 would have on the volume of the cylinder is the volume would increase by a factor of 36.

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The population of a town is 13,000. It decreases at a rate of 5% per year. In about how many years will the population be less than 12,000?

Answers

This is an exponential decay problem.

Using the equation Y = a *(1-rate)^time

where Y is the future value given as 12,000 and a is the starting value given as 13,000.

The rate is also given as 5%.

The equation becomes:

12,000 = 13,000(1-0.05)^x

12,000 = 13,000(0.95)^x

Divide each side by 13000:

12000/13000 = 0.95^x/13000

12/13 = 0.95^x

Use the natural log function:

x = ln(12/13) / ln(0.95)

x = 1.56 years. ( this will equal 12,000

Round to 2 years it will be less than 12000.

The function f(x) = -x^2 - 2x + 15 is shown on the graph. What are the domain and range of the function?

Answers

R; all quadratic functions are going to have ranges and domains of *ALL REAL NUMBERS* [(-∞, ∞)].

Answer: the domain is all real numbers. the range is {y|y ≤ 16}

Step-by-step explanation:

Don’t have trust issues

What is the LCM of 5,13 and 10

Answers

1 because 13 is not divisible buy anything other than 1

The  LCM of 5, 13 and 10 is 130.

What is the LCM of 5,13 and 10?

The LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both numbers.

The LCM is the smallest number that is a multiple of 5, 13, and 10. To find the LCM, we can use the following steps:

1. Find the prime factorization of each number.

2. Find the highest power of each prime factor.

3. Multiply the prime factors together, using the highest power of each factor.

The prime factorization of 5 is 5.

The prime factorization of 13 is 13.

The prime factorization of 10 is 2 * 5.

The highest power of 2 is 1.

The highest power of 5 is 1.

The highest power of 13 is 1.

Therefore, the LCM of 5, 13, and 10 is:

2 * 5 * 13 = 130

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Use the formula to figure out the area. Calculate your answer to the nearest hundredth

Answers

Answer:

you need to add the picture

Step-by-step explanation:

Answer:add the picture

Step-by-step explanation:

find the mean,median,and mode for the data.

114;120;115;114;118;117;114

pleassssseeee

thanks
:)

Answers

Answer:

Mean: 116

Median: 115

Mode: 115

Step-by-step explanation:

Mean is the average of the data set; it’s found by adding up all the numbers and dividing that sum by the number of numbers there are

(114 + 120 + 115 + 114 + 118 + 117 + 114)/7 = 812/7 = 116

Median is found out by ordering the given numbers from largest to smallest and finding the middle number; if there are an even number of given numbers, you add them up and divide by two.

In this case, you are lucky enough to be given an odd numbers of given numbers

Ordering (smallest to largest):

114, 114, 114, 115, 117, 118, 120

Median is 115

(this is the number in the middle of the data set)

Mode is the most frequently occurring number in the data set

In this case, the

Mode is 114

The mean of the data is 116, the median is 115, and the mode is 114. All three measures offer insights into the dataset's central tendencies.

To find the mean, median, and mode of the given data: 114, 120, 115, 114, 118, 117, 114, let's follow these steps:

Mean: Add all the numbers together and divide by the number of data points.

Sum: 114 + 120 + 115 + 114 + 118 + 117 + 114 = 812Number of data points: 7Mean: 812 / 7 = 116

Median: Arrange the numbers in ascending order and find the middle value. If there is an even number of observations, calculate the average of the two middle values.

Ordered data: 114, 114, 114, 115, 117, 118, 120Since n = 7 (an odd number), the median is the 4th value which is 115

Mode: The most frequently occurring value in the dataset.

Mode: 114 (appears 3 times)

Thus, the mean is 116, the median is 115, and the mode is 114.

Bedroom furniture for $1,985.00 cash, or $400 down and $74.00 per month for 24 months

Answers

$400 + (74.00 * 24) = $2,176.

The cash price is $191.00 less.

Answer:

bedroom furniture for $1,985.00 cash  

or  

bedroom furniture for $400 down  payment and $74.00 per month for 24 months

so, calculating the total money  

             = down payment + monthly payment × number of months

             =   $400 + $74.00 × 24

             =  $ 2176

hence, paying bedroom furniture for  $1,985.00 cash  will be the appropriate option for the payment.

What is the maximum value that the graph of y=cos x assumes?

Answers

Answer:

I am assuming you mean a normal cosine parent graph. The maximum a y=cos(x) graph can approach is one.

Answer:

1

Step-by-step explanation:

8.28÷0.72=115 can you please help me with this I'm struggling​

Answers

Answer:

a

Step-by-step explanation:

Which of the following descriptions matches the sequence of events shown
in the tree diagram below?

Answers

The answer would be d- tossing s coin, tossing a second coin, and tossing a third coin

Answer:

Option: D is the correct answer

D. Tossing a coin, tossing a second coin and tossing a third coin.

Step-by-step explanation:

We know that when a coin is tossed then there are only two possible outcomes i.e. either a head or a tail.

Now, when a second coin is tossed then again we have two possible outcomes i.e. head and a tail.

and the total sample space of the two events is given by:

HH    HT   TT     TH

Now, when a coin is tossed third time then in than two outcomes are possible on the coin i.e. a head and a tail.

Hence, the total number of outcomes are:

HHH    HTH    TTH   THH

HHT     HTT     TTT    THT

i.e. when a coin is tossed n times that the total possible outcomes are:

                           [tex]2^n[/tex]

Here the coin is tossed three times.

Hence, the total possible outcomes are:  [tex]2^3=8[/tex]

PLS HELP EASY AND I GIVE BRAINLIEST

Answers

No a triangle equals to be 180 degrees not 190 degrees

No, a triangle cannot be drawn with the following angles.

On a triangle, all angles will add up to 180º.

These angles add up to 190º so it would not work.

Mr and mrs turner ate 3/4 of a pizza. They want to split the remaining part equally between their two sons how much of the pizza will each son recive

Answers

The remainder would be 1/4 of the pizza. 1/4 is equivalent to 2/8 of the pizza. This 2/8 can be easily divided for both sons. Therefore the answer would be each son would receive 1/8 of the pizza.

Write an equation in slope-intercept form for the line with slope -7 and y-intercept 8 . Then graph the line.

Answers

Final answer:

The equation in slope-intercept form for the line with slope -7 and y-intercept 8 is y = -7x + 8. To graph the line, plot the y-intercept and use the slope to find other points on the line, connecting them to create the line.

Explanation:

To write an equation in slope-intercept form, we use the formula y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -7 and the y-intercept is 8, so the equation is y = -7x + 8.

To graph the line, first plot the y-intercept, which is the point (0,8). Then, use the slope to find other points on the line. Since the slope is -7, for every increase of 1 on the horizontal axis, the line decreases by 7 on the vertical axis. So, for example, if we move 1 unit to the right from the y-intercept, we go down 7 units. Plot these additional points and connect them to create the line.

Solve for the variable. k/3 16/24

Answers

Answer:

k=2

Step-by-step explanation:

[tex]\frac{k}{3} = \frac{16}{24}[/tex]            Set up your equation

24k=48                                                      Cross multiply

k=2                                                             Divide 24 from both sides

You answer is k=2

For this case we have the following equation:

[tex]\frac {k} {3} = \frac {16} {24}[/tex]

We must find the value of the variable "k":

Simplifying the right side of the equation we have:

[tex]\frac {k} {3} = \frac {8} {12}\\\frac {k} {3} = \frac {4} {6}\\\frac {k} {3} = \frac {2} {3}[/tex]

We multiply by 3 on both sides of the equation:

[tex]k = \frac {2} {3} * 3\\k = 2[/tex]

Answer:

[tex]k = 2[/tex]

-6n+21 =12n-15 I need help solving the equation

Answers

Answer:

n = 2

Step-by-step explanation:

Given

- 6n + 21 = 12n - 15 ( collect terms in n on the left and numbers on the right )

Subtract 12n from both sides

- 18n + 21 = - 15 ( subtract 21 from both sides )

- 18n = - 36 ( divide both sides by - 18 )

n = 2

What’s this answer to this question?

Answers

Answer:

Step-by-step explanation:

$20.00

8*1/8= what
Pls help me because it’s for tomorrow

Answers

I am pretty sure you would do it like that!!! Hope this helps :)

Answer:

1

Step-by-step explanation:

the population of a certain town grew from 486,000 in 1980 to 575,400 in 1990. find the equation for this situation and predict the population in 2016.

Answers

Answer:

89,400 was the population in 2016

Step-by-step explanation:

Which of the following graphs is described by the function given below? Y=x^2-4x-12

Answers

Answer:

graph B

Step-by-step explanation:

if we mention x =0 then y=-12 and we do the same with y if we mention y=0 then x=6 and x=-2 and we will find thes cases only in graph B

The solution is Option B.

The graph of the equation of line y = x² - 4x - 12 is given below , where the values of y = 0 at x = -2 and x = 6

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be A

Now , the value of A is given as

y = x² - 4x - 12   be equation (1)

On factorizing the equation (1) , we get

y = x² + 2x - 6x - 12

So , on grouping the common terms , we get

y = x ( x + 2 ) - 6 ( x + 2 )

y = ( x + 2 ) ( x - 6 )

when y = 0

x + 2 = 0

On subtracting 2 on both sides , we get

x = -2

when y = 0

x - 6 = 0

On adding 6 on both sides , we get

x = 6

So , the value of y = 0 , when x = -2 and when x = 6

Substituting the values in the equation,we get the following graph

Therefore , the equation of line is y = ( x + 2 ) ( x - 6 )

Hence , The graph of the equation of line y = x² - 4x - 12 is given below , where the values of y = 0 at x = -2 and x = 6

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Helppp 1-7 pleaseee !!!!!

Answers

1.RT

2.QS

3.PS

4.T

5.QR

6.QSR

7.QRS

If correct mark best answer!

One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 25 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.

Answers

Answer:

93

Step-by-step explanation:

180-25=155

155÷5=31

31×3=93

A triangle is a three-edged polygon with three vertices. The measurement of the largest angle of the triangle is 93°.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Let the measure of the smallest angle be x. And as it is given that the measure of the second angle is 3 times the smallest, while the measure of the third angle is 25 more than the smallest angle. Therefore, the measure of the angles can be written as,

∠1 = x

∠2 = 3x

∠3 = x + 25

Since the sum of all the angles of a triangle is 180°, therefore, the sum can be written as,

∠1 + ∠2 + ∠3 = 180°

x + 3x + (x+25) = 180°

x + 3x + x + 25 = 180°

5x + 25 = 180°

5x = 180° - 25°

5x = 155°

x = 31°

Now, the measurement of all the angles is,

∠1 = x = 31°

∠2 = 3x = 3(31°) = 93°

∠3 = x + 25 = (31+25)° = 56°

Hence, the measurement of the largest angle of the triangle is 93°.

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Why is it important for pregnant women to include leafy green vegetables and oranges in their diet

Answers

Hm..Maybe so that when they give birth the stretch Mark's on their body wont be so bad.

Because it provides the child with nutrition to sustain life in the mother’s stomach

What is the distance between the points (–4, –5) and (5, –1)?

Answers

Answer:

About 4.39.

Step-by-step explanation:

The distance formula is the square root of ( x2 − x1 ) squared + ( y2 − y1 ) squared. Plugging in our x and y values, you get 4.386342439892262, which rounds up to 4.39.

The answer is 4.39 and that’s the answer

Will give BRAINLIEST

Set up a linear system consisting of two equations. Assume you talk for a minimum 600 minutes. The first equation would be for the talks a lot company ($40 for 600 minutes and $.35 for each minute exceeding the 600) . The total cost (y) equals the base fee plus cost per minute times times the number of minutes exceeding 600. The second equation would be set up just like the first only you would use the Chat away company info ($50 for 600 minutes and $.10. For each minute exceeding )

Answers

Answer:

y = 40 + 0.35x

y = 50 + 0.1x

Step-by-step explanation:

Talk A Lot Company

$40 for 600 mins

$0.35 for each extra min

Total cost = y

Number of extra minutes after 600 mins = x

y = 40 + 0.35x

Chat Away Company

$50 for 600 mins

$0.10 for each extra mins

Total cost = y

Number of extra minutes after 600 mins = x

y = 50 + 0.1x

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