How many solutions for x does the following equation have?

3(x + 8) − 1 = 3x + 4

A.
4
B.
1
C.
0
D.
infinite

Answers

Answer 1

Answer:

c. 0

Step-by-step explanation:

3(x+8) - 1 = 3x+4

3x+24-1 = 3x+4

3x+23 = 3x+4

There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.


Related Questions

If two angles are supplementary, and the angle measurements are in the ratio 3:1, what is the measure of the smaller angle?

Answers

Answer:

The measure of smaller angle = 45°

Step-by-step explanation:

Finding the unknown angle

  Ratio of the supplementary angles = 3 :1

The angles are 3x , x

Supplementary angles add up to 180°

3x + x = 180

     4x = 180

       x = 180 ÷ 4

       x = 45°

3x = 3*45 = 135°

the answer to this is 40=

Step-by-step explanation:

I did this

Oil tank contains 220.2 gallons of oil. Whenever that amount of oil drops below 90 gallons an alarm sound if 145.3 gallons are pumped into a delivery truck how many gallons must be pumped in back into the tank in order to shut off the alarm

Answers

Answer:

15.1 gallons are needed to shut off the alarm.

A sequence of numbers begins with 12 and progresses
geometrically. Each number is the previous number
divided by 2.
Which value can be used as the common ratio in an
explicit formula that represents the sequence?
N/H
02
06
O 12

Answers

Answer:

1/2

Step-by-step explanation:

since every time you divide by 2, the common ratio is 1/2

If M is the midpoint in the figure, find MQ and PQ.

Answers

Answer:

pm = 4

M is the mid point of PQ which means that pm = mq

so MQ = 4

PQ = PM + MQ

= 4 + 4

= 8

Answer: A) MQ = 4, PQ = 8

Step-by-Step Solution:

Given :-

PM = MQ
PM = 4
M is the Midpoint of PQ

To Find :-

MQ and PQ

Solution :-

Since PM = MQ,
=> MQ = 4 (Since PM = 4)

PM + MQ = PQ (Since M is the Midpoint)
Hence, PQ = 4 + 4
=> PQ = 8

So, MQ = 4 and PQ = 8

? Question The point (x, y) is first rotated 180° clockwise about the origin, translated 6 units to the left, and then reflected across the line y = x. Write a function S to represent the sequence of transformations applied to the point (x, y).

Answers

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

Transformation of coordinates

Transformation is a technique used to change the position of an object on an xy-plane.

Given the coordinate (x, y)

Rotation of the coordinate by 180° clockwise about the origin will given;

(x, y) - > (-x, -y)

If the result is translated 6 units to the left, then;

(-x, -y) -> (-x-6, -y)

If it is then reflected across the line y = x, we will switch the coordinates to have:

(-x-6, -y) -> (-y, -x - 6)

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

Learn more on transformation here: https://brainly.com/question/1548871

#SPJ1

What is the measure (in radians) of central angle & in the circle below?
O
O
O

26
ㅇ 역
12 cmy
0
14 cm


Answers

Answer:

7pi/6

Step-by-step explanation:

Using the formula for arc length in radians, we get:

14pi = 12(theta)theta = 7pi/6 [divide both sides by 12]

please answer this, i am not sure what the answer is

Answers

The loss on the sale of equipment of $25 will appear in cash flow for operating activities section.

What is a cash flow statement?

The cash flow statement is a financial statement that gives aggregate data regarding the cash inflows that a company receives.

The loss on sales of equipment will be:

Cost of equipment = $500

Less accumulated depreciation = $375

Less sale of equipment = $25

Here, the loss on the sale of equipment of $25 will appear in cash flow for operating activities section.

Learn more about cash flow on:

brainly.com/question/24179665

#SPJ1

A fair die is rolled 4 times in succession. What is the probability that the number on each roll is strictly less than the number on the previous roll

Answers

The probability that the number on each roll is strictly less than the number on the previous roll is 7/72

The number of such results in which each number is not less than the previous number will be equal to the number of ways of choosing 4 numbers out of 6 with replacement; regardless of order!

Let us choose any such set of size 4, say {2, 1, 1, 3}. we can sort it to get the sequence {1,1,2,3}, which is one of our desired results. Thus, each sequence ordered in this way corresponds to one selection of size 4, with replacement and regardless of order.

The number of such selections will be equal to the number of solutions to the following equation:

x1 + x2 + x3 + x4 + x5 + x6 = 4

where:

x1: number 1 in selections

x2: number of 2s in selection

.

.

x6: number of 6s in selection

The number of unique solutions of such an equation = 9, choose 5 = 126

Number of possible outcomes = 6^4 = 1296

Probability of favorable results = 126/1296=7/72

For more information about probability, visit https://brainly.com/question/24756209

#SPJ4

Pool A starts with 300 gallons of water. It has a leak and is losing water at a rate of 6 gallons of water per minute. At the same time, Pool B starts with 400 gallons of water and also has a leak. It is losing water at a rate of 10 gallons per minute. The variable t represents the time in minutes. After how many minutes will the two pools have the same amount of water? How much water will be in the pools at that time?

Answers

Answer:

25 minutes

150 gallons

Step-by-step explanation:

Definition of variables

Let t = time in minutes

Let V = volume in gallons

Create two equations with the given information:

Pool A

Starting volume = 330 gallonsLeak rate = 6 gallons/min

⇒ V = 300 - 6t

Pool B

Starting volume = 400 gallonsLeak rate = 10 gallons/min

⇒ V = 400 - 10t

To find after how many minutes the two pools will have the same amount of water, substitute the equation for pool A into the equation for pool B and solve for t:

⇒ 300 - 6t = 400 - 10t

⇒ 300 - 6t + 10t = 400 - 10t + 10t

⇒ 300 + 4t = 400

⇒ 300 + 4t - 300 = 400 - 300

⇒ 4t = 100

⇒ 4t ÷ 4 = 100 ÷ 4

⇒ t = 25

Therefore, the two pools will have the same amount of water after 25 minutes.

To find how much water will be in the pools at that time, substitute the found value of t into one of the equations and solve for V:

⇒ V = 400 - 10t

⇒ V = 400 - 10(25)

⇒ V = 400 - 250

⇒ V = 150

Therefore, the amount of water in the pools at the time when they have the same amount of water is 150 gallons.

If time be x and volume be y

The equations are

y=300-6ty=400-10t

Equate and solve

300-6t=400-10t4t=100t=25min

Now

y=400-10(25)y=400-250y=150gallons

If AB is parallel to CD and the slope of AB is -3, what is the slope of CD?

Answers

in order for linear functions to be parallel, the slope needs to be the same, so the slope of CD has to be -3
It should be -3 as well, if there parallel they are equal, parallel lines have equal slopes. Since the slope of AB is -3 and CD is parallel to AB then CD has a slope of -3.

4. Fill in the blanks for the following proof:

Answers

Answer:

Step-by-step explanation:

y>-3x +3
y≥ 2x-2
O (1,0)
O (-1,1)
O(2,2)
(0,3)

Answers

Answer:

(1,0)

Step-by-step explanation:

y>-3x +3

y≥ 2x-2

If we plot these two inequalities, we can see where the lines intersect,  See attached graph.

They intersect at (1,0)

We can also do this mathematically:

  y>-3x +3

- (y≥ 2x-2)

0 [tex]\geq[/tex] -5x + 5

5x [tex]\geq[/tex] 5

x [tex]\geq[/tex] 1

If x = 1:

y≥ 2x-2

y≥ 2(1)-2

y≥ 0

(x,y) = (1,0)

the tabel shows the time merrida spent driving and the number of miles she drove she drove the same number of miles each other

Answers

Answer:

35 miles/hour

Step-by-step explanation:

See attached image.

If a varies directly as the square of b, and a = 4 when b = 3, find a when b = 2

Answers

Answer:

a = 46. Look down to find out more↓:

Step-by-step explanation:

a = kb²

4 = k(3)²

4 = k9

k = 4/9

a = 4/9(9²)

a = 4/9 (81)

a = 324/9

a = 36

What is the equation of the parabola shown with its directrix on this graph?

Answers

The answer is option b because I just know

Can yall help me Find m/1.

Answers

Answer:

mAngle1 = 33°

Step-by-step explanation:

The three angles in a triangle add up to 180°.

31° + 116° + x = 180°

147° + x = 180°

Subtract 147° from both sides.

x = 33°

The measure of Angle1 is 33°

X^2 + y^2 = 81 write down the equations of the two horizontal lines that are tangent to c

Answers

Answer:

Step-by-step explanation:

x² + y² = 81

x + y = √81

x + y = 9

x ≥ 9

y ≤ 9

what does [ ] mean in math? ​

Answers

it is a bracket used in maths

Answer:

They are kind of like outer brackets, so if you have some expression like this:

5 + (4 × 6 + (7 - 8)),

it's better to write it like this:

5 + [4 × 6 + (7 - 8)],

so you can read it more easily.

Identify the Property of Equality that is used in each statement.
If x=2, then 2x = 4.
5= 3a; therefore, 3a = 5.
If T=4, then 5T + 7 equals 27.
If 9 = 4x and 4x = m, then 9 = m.

Answers

Step-by-step explanation:

x = 2. 2(x) = 2(2). 2x= 4. Multiplication Property of Equality (if you have two equals sides and then multiply them by the same quantity both sides will remain equal)

5=3a therefore 3a = 5. Symmetric Property if a=b then b=a

T = 4 => 5T = 20 (Multiplication Property of Equality) => 5T + 7 = 27 (Addition Property of Equality. basically if two sides are equal and you add the same quantity they will remain equal)

Last one is transitive property which states. if a=b and b=c then a=c so in this case a would be 9, b would be 4x and c would be m

if the exterior angles of a pentagon are x° 2x° (x+30)°,(x-10)° and (x+40)° find x
a) 30
b) 50
c) 60
d) 80

Answers

Answer:

[tex]\fbox {b) 50}[/tex]

Step-by-step explanation:

The sum of the exterior angles of any polygon (including a pentagon) is equal to 360 degrees.

Then :

⇒ x + 2x + x + 30 + x - 10 + x + 40 = 360

⇒ 6x + 60 = 360

⇒ 6x = 300

x = 50

Answer:

[tex]\huge\boxed{\sf x = 50}[/tex]

Step-by-step explanation:

Statement:The exterior angles of a pentagon add up 360 degrees.Given angles:x°2x°(x+30)°(x-10)°(x+40)°Solution:

x + 2x + x + 30 + x - 10 + x + 40 = 360

6x + 60 = 360

Subtract 60 to both sides

6x = 360 - 60

6x = 300

Divide 6 to both sides

x = 300/6

x = 50

[tex]\rule[225]{225}{2}[/tex]

Camille bought 120 doughnuts for $60. Her profit was $48 once she sold 80 doughnuts. Write an
equation that represents Camille's profit P, as a function of the number of doughnuts sold, n.
PLEASE HELP WITH SHOWED WORK!!!

Answers

The equation that represents Camille's profit p as a function of the number of doughnuts sold, n is P = 1.35n - 60

How to represent an equation ?

She bought 120 doughnuts for $60.

Therefore,

cost  = $60

Her profit was $48 once she sold 80 doughnuts.

p = profit

n = number of doughnuts sold.

Therefore,

let

x = amount she is selling each doughnuts

p = nx - 60

Using the information given we have:

48 = (80x) - 60

Therefore,

x = $1.35

Hence, for any number of doughnuts then, we have the profit equation as follows:

P = 1.35n - 60

learn more equation here: https://brainly.com/question/21691697

#SPJ1

Could I get some help on this pls, and most importantly how you could solve it.

Thank you.

Using your choice of technology, find the line of best fit using the data below for the women’s 100-meter Olympic records. Interpret the y-intercept, and explain the significance of the slope.

Answers

The equation of the line of best fit is y = -0.03x + 69.94

How to determine the line of best fit?

The column headers are given as:

Year    Time(s)

To enter the data values in a graphing calculator, we use the following representations:

x ⇒ Year

y ⇒ Time (s)

Using the above representations, we have the following calculation summary from a graphing calculator:

Sum of X = 72209Sum of Y = 432.95Mean X = 1951.5946Mean Y = 11.7014Sum of squares (SSX) = 17242.9189Sum of products (SP) = -514.5997

The equation of the line of best fit is:

y = bx + a

Where

b = SP/SSX = -514.6/17242.92 = -0.02984 ≈ -0.03

a = MY - bMX = 11.7 - (-0.03*1951.59) = 69.94497 ≈ 69.94

So, we have:

y = -0.03x + 69.94

A linear equation is represented as:

y = Slope * x + y intercept

So, we have:

Slope = -0.03

y intercept = 69.94

The y-intercept implies that the initial time is 69.94 seconds, while the slope implies that the time decreases by 0.03 seconds each year

Read more about line of best fit at:

https://brainly.com/question/1518824

#SPJ1

Express ratio 3.5:14 as 1:n

Answers

Answer:

1 : 4

Step-by-step explanation:

3.5 : 14 ( divide both parts by 3.5 )

= 1 : 4

Solve x+ 2y = -2 I’m really confused

Answers

Answer:

y=−1/2x−1

Step-by-step explanation:

I put it in slope intercept form as I assume that is what the question is asking.

Please help!!!!!!!!!!!!!!!!!1

Answers

X = 4

Hope This Helps! :)

Answer:

f(x)=(x+4)(x+2)

Step-by-step explanation:

Factor  x^2−6x+8  using the AC method.

f(x)=x²-3x-2 is shifted 4 units left. The result is g(x). What is g(x)?

A. g(x)=(x-4)² - 3(x-4)-2
B. g(x)=x²-3x+2
C. g(x) = (x+4)² - 3(x+4) - 2
D.g(x) = (x+4)² - 3x-2

Answers

Answer:

c

Step-by-step explanation:

left is in brackets and opposite sign so left is plus right is minus

Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store. What is the price per inch of a plant? Show your calculation.







Characters used: 21 / 15000
Part E
What is the price of a plant that is 5.5 inches high? Show your calculation.

Answers

Answer: $0.24

Step-by-step explanation:

9.5 inches --> $2.28
1 inch--->X
now cross multiply it and get,

9.5X = 2.28*1
X = 2.28/9.5

so its $0.24 per inch

pls help!! determine the period! thx

Answers

Answer:

T=5

Step-by-step explanation:

If triangles ABC and DEF are congruent, then find the measure of DE.​

Answers

Answer:

DE = 3 Units

Reason -

In the question it is given that triangle ABC is congruent to triangle DEF

if a triangle is congruent to other triangle than the corresponding parts of it (.ie sides and angles) are equal to that of other

Tawny wrote an expression to represent “the quotient of 82 and a number, decreased by 26.” She then evaluated the expression when n = 2. Which statements are true about the expression and its value? Check all that apply.
The correct expression is 82 minus StartFraction 24 Over n EndFraction.
To evaluate the expression, subtract 26 from the quotient.
To evaluate the expression, subtract the quotient from 82.
The correct expression is StartFraction 82 Over n EndFraction minus 26.
The operations include division and subtraction.
To evaluate, substitute 24 for the variable in the equation.
The value of the expression is 15.

Answers

The value of the expression (82/n – 26) at n = 2 will be 15. Then the correct options are B, D, E, and G.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Tawny wrote an expression to represent “the quotient of 82 and a number, decreased by 26.”

She then evaluated the expression when n = 2.

Then the expression will be

⇒ 82 / n – 26

If the value of n is 2, then the value of the expression will be

⇒ 82 / 2 – 26

⇒ 41 – 26

⇒ 15

Then the correct options are B, D, E, and G.

More about the division link is given below.

https://brainly.com/question/369266

#SPJ1

Other Questions
y = ( x + z) ( x+ 2x) q5:- Some green food colouring was carefully added to the bottom of a beaker of water using a syringe. The beaker was then covered and left untouched for several days.Describe what would you observe after:-a)i) a few hoursii) several daysb) explain your answer to question 5a using ideas of the kinetic particle theory.c) state the physical process that takes place in this experiment. Determine the equation of the line with slope -2 that passes through the point M(-1, -3). Which picture shows a boat riding on a trough?Select one:a. Ab. Bc. Cd. D Solve the following system of equations and show all work.y = 2x2y =3x -1 (10 points) Which is true about investments and risk?Low-risk investments have a high return over the long run.High-risk investments usually fail.Safe investments are always somewhat profitable.Every investment carries some degree of risk. Anu's age exceeds Sumbo's age by 15 The sum of the square of their ages is 725. What are their ages? Calcular cuntos nmeros enteros diferentes de tres dgitos se pueden formar con los dgitos 2, 3 ,4 ,5 ,6 ,7 , 8 si los dgitos no pueden repetirse Certain articles in the Indian constitution are not suitable for the present century- Do you agree? Why? hey! Solving linear equations with integers! i dont think it should be that hard since its practice, I just need some help with a bit more problems! :)1) -3 ( 3 - x ) = 2x + 52) -6 - 9p = + 3p3) -5 (-4 - a ) = 3a + 84) s - 6 = -5sthat should be it! Ty Theresa uses a unique box in the shape of a trapezoidal prism for her specialty candles. The area of the basof the box for the smaller candle is 125 cm and the box is 12 cm tall. The box used for the larger candle hasa base whose area is 160% that of the smaller box, and it is 6 centimeters taller.What percent of the volume of the smaller box is the volume of the larger box?Pls explain ur Answer What is the wavelength of a compression wave with a speed of 500 m/s and a frequency of 250 Hz?Use this formula: = s/fSelect one:a. 2 mb. 1.25 mc. 250 md. 750 m Eighty percent of people with OCD may experience significant: how is enterepreneurship a prerequisite of development (He/like) the book (borrow) yesterday? Describe the main landforms in India? How can you compare these with UAEs landforms? (love) Every mother ____ her children. Question 4 of 10Which statement describes a major challenge facing former slaves after theabolition of slavery in the United States?A. Some states passed laws that kept freed slaves from exercisingtheir right to vote.B. Abolitionists forced freed slaves to compensate them for theirefforts to end slavery.C. Freed slaves were prohibited from working on their former owners'lands.D. Southern states forced nearly all freed slaves to leave for theNorth. items that are cycled through the biosphere in biogeochemical cycles. Which of the following most inspired the inclusion in the Declaration of Independence of the right of the people to revolt against a tyrannicalgovernment?