8x+4=3(x-1) +7 solve​

Answers

Answer 1

Answer:

x = 0

Step-by-step explanation:

8x + 4 = 3(x − 1) + 7

Simplify both sides of the equation:

8x + 4 = (3)(x)+ (3)(−1) + 7

8x + 4 = 3x + (−3) +7

Combine like terms:

8x + 4 = (3x) + (−3+7)

8x + 4 = 3x + 4

Subtract 3x from both sides:

8x + 4 − 3x = 3x + 4 − 3x

5x + 4 = 4

Subtract 4 from both sides:

5x + 4 − 4 = 4 − 4

5x =0

Divide both sides by 5:

5x/5 = 0/5

x = 0


Related Questions

Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if: a) there must be exactly 3 students on the committee b) there must be at least one teacher and at least one student on the committee (3 marks)

Answers

Answer:

a)[tex]X=3300[/tex]

b)[tex]Y=7770[/tex]

Step-by-step explanation:

From the question we are told that:

Number Teachers [tex]T=6[/tex]

Number Student [tex]S=12[/tex]

Number in committee [tex]n=5[/tex]

a) Generally the equation for exactly 3 students on the committee is mathematically given by

[tex]X=^{S}C_3*^{T}C_3[/tex]

[tex]X=^{12}C_3*^{6}C_3[/tex]

[tex]X=3300[/tex]

b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by

Total Ways-(no of ways of selection no teacher or student)

Where total Ways

[tex]T=^{(6+12)}C_5[/tex]

[tex]T=8568[/tex]

Therefore

[tex]Y=8568-^{6}C_0*^{12}C_5+^{12}C_0*^{6}C_5[/tex]

[tex]Y=8568-798[/tex]

[tex]Y=7770[/tex]

Carol wants to build a fence around her
garden to prevent rabbits from eating the
plants. The fencing costs $15 per metre.
How much will it cost to enclose a square
garden with an area of 81 m2?
(Hint: Area of a square = 5?, perimeter of a
square = 4s)

Answers

Answer:

540$

Step-by-step explanation:

9x9 = 81

9 + 9 + 9 + 9 = 36

36 x 15 =540

Since a sample data shows that a linear correlation coefficient between two variables is about 0.08, then it rules out a possible causal relationship between the two variables.

Answers

Answer:

False

Explanation:

A linear correlation coefficient is used to measure the the level of relationship between two seemingly dependent and independent variables. A relationship exists between two variables in linear correlation if one affects the other, either negatively or positively never zero. If linear correlation has a negative value then one variable increases while the other decreases. If linear correlation coefficient is positive then both variables increase together. If zero then there is no relationship as one variable's increase or decrease has nothing to do with the other. In the case above, correlation is positive at 0.08 hence we can say that there is a relationship between the two variables.

Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients.
(i)4u^2+8u​

Answers

Answer:

Hello,

Step-by-step explanation:

Since 4u²+8u=4u(u+2)

Zeroes ={0,-2}

Coefficients={4,8}

But i don't know the relationship.

How many index laws are there?

Answers

Answer:

There are three laws of indices.

Solve The Equation Below

Answers

Answer:

16

Step-by-step explanation:

10 + sqrt(y) = 14

Subtract 10 from each side

10 -10+ sqrt(y) = 14-10

sqrt(y) = 4

Square each side

(sqrt(y)) ^2 = 4^2

y = 16

Hello!

[tex]10 + \sqrt{y} = 14 \\ \sqrt{y} = 14 - 10 \\ \sqrt{y} = 4 \\ y = 16[/tex]

A is the answer.

Good studies!

Please help!! I have no idea how to do this

Answers

Answer:

i have also no idea but plz mark me as brainlist

The length of a boat in scale drawing is 8 in. Find the length of the actual
boat if the scale is 1 in = 3 ft.
A)24 in
B.)24 ft
C.) 8 ft
D.) 11 in.

Answers

Answer:

B. 24 ft

Step-by-step explanation:

1 in = 3ft

8 in must equal 24 ft since 8 in x 3 ft is 24 ft. So, B.

The length of the boat will be equal to 24 ft.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that:-

The length of a boat in scale drawing is 8 in. Find the length of the actual boat if the scale is 1 in = 3 ft.

The actual length will be calculated as follows:-

1 in = 3 ft.

8 in = 8 x 3 ft

8 in = 24 ft.

Therefore the length of the boat will be equal to 24 ft.

To know more about scale factors follow

https://brainly.com/question/25722260

#SPJ2

Please help me with this.. and tell correct answer..​

Answers

Answer:

Step-by-step explanation:

55 +80 + ∠C = 180   {Angle  sum property}

135 + ∠C = 180

∠C = 180 - 135

∠C = 45

The side opposite to the biggest angle is the longest side

Biggest angle is ∠B. So the longest side is AC

Smallest angle is ∠C. So, the shortest side is BA

Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds? (5 points)

Part B: Which is the more reasonable measurement of the diameter of a human hair:
1.8 ⋅ 10−2 mm or 1.8 ⋅ 102 mm? Justify your answer. (5 points)


Please Explain.

Answers

Part A: The amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s  is 6.045 × 10⁴⁰ ergs.

Since the sun produces 3.9 × 10³³ ergs of radiant energy per second, which is  a rate, r = 3.9 × 10³³ ergs/s.

We require the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s.

So, this heat Q = rate × time

Q = rt

Substituting the values of r and t into the equation, we have

Q = 3.9 × 10³³ ergs/s × 1.55 × 10⁷ s

Q = 6.045 × 10³³ × 10⁷ ergs

Q = 6.045 × 10⁴⁰ ergs

So, the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s  is 6.045 × 10⁴⁰ ergs.

Part B: The measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.

Since 1.8 × 10⁻² mm = 1.8  × 10⁻² mm  ×  1cm/10 mm = 1.8  × 10⁻³ cm (since 10 mm = 1 cm) and

1.8 × 10² mm = 1.8 × 10² mm × 1 cm/10 mm = 1.8 × 10 cm = 18 cm (since 10 mm = 1 cm)

Since the human hair is small and its diameter of human hair cannot be 18 cm since 18 cm is a large diameter, then the diameter of the human hair has to be 1.8  × 10⁻³ cm = 1.8  × 10⁻² mm which is a small value.

So, measurement of the diameter of human hair 1.8 × 10⁻² mm  is more reasonable.

Learn more about radiant energy here:

https://brainly.com/question/22380590

Answer:

WAS THE OTHER ANSWER CORRECT????

Step-by-step explanation:

What is the quotient of the synthetic division problem below, written in polynomial form?

-1| 1 7 15 9 7​

Answers

Answer:

Step-by-step explanation:

If we have 5 terms to the right of the -1 outside the box thing, that means that our original polynomial is a 4th degree (the degree is one lower than the number of terms in order to allow for the constant which has no variable). Set up the synthetic division as shown in the problem. The rule is to bring down the first term, the 1 to the right of the box, multiply it by the number outside, -1, and put that product up under the next number in line inside the box. Like this:

-1 |   1    7     15     9     7

          -1                        

      1  

Now add straight down, multiply the sum by -1 and put that product up under the next term in line, the 15:

-1 |   1     7     15     9     7

            -1     -6              

      1     6  

Then add straight down again, multiply the sum by -1 and put that product up under the next term in line, the 9:

-1 |     1     7     15     9     7

              -1     -6    -9      

        1     6     9

Then do the same thing. Add straight down, multiply the sum by -1 and put the product up under the next term in line, the 7:

-1 |     1     7     15     9     7

              -1     -6    -9     0

        1     6      9     0     7

This is the final result. The last number, the 7 is the remainder, but the rest of it makes up what we call the depressed polynomial and is a polynomial that is one degree less than the degree we started with. So this depressed polynomial is a 3rd degree. The numbers are the coefficients on the x terms:

[tex]1x^3+6x^2+9x+0R7[/tex] or more simply stated:

[tex]x^3+6x^2+9xR7[/tex]

Plz answer will give brainliest

Answers

These triangles are congruent by SAS, therefore HI and IJ will be the same length.

3v = v + 60

2v = 60

v = 30

Hope this helps!

Create a system of linear equations with one solution. In your final answer, include the system of equations and the graphs of the lines.

Answers

Answer:

System of equations

[tex]x + y = 5[/tex]

[tex]y - 2x = -4[/tex]

[tex](x,y) = (3,2)[/tex] --- solution

See attachment for graph

Step-by-step explanation:

Solving (a): Linear equations with 1 solution

The only condition to this is that, the system must have 1 solution.

Other than that, there is no other condition.

A linear equation is represented as:

[tex]ax + by= c[/tex]

For the equation to have 1 solution;

[tex]a_1 * b_2 \ne a_2 * b_1[/tex]

And example of such equation is:

[tex]x + y = 5[/tex]

[tex]y - 2x = -4[/tex]

Solving (b): The graph

See attachment for graph

The solution is the point of intersection of both lines of the graph. So, we have:

[tex](x,y) = (3,2)[/tex]

PLEASE ANSWERRRRR UR SO COOL IF YOU DOOOO PLSSSS

Answers

Answer:

3x-7y and -7y+ 3x

Step-by-step explanation:

3x +  (-7y) = (-7y) + 3x

Answer:

Step-by-step explanation:

The first set of expressions are equivalent; they are identical except for order of the terms.

Write the expression as a single function of alpha.
cos(180°-alpha)

Answers

Answer:

-cos α

is the answer-------

(6x^2-4x-5)(2x^2+3x)

Answers

Answer:

[tex]\left(6x^2-4x-5\right)\left(2x^2+3x\right)[/tex]

[tex]=6x^2\cdot \:2x^2+6x^2\cdot \:3x+\left(-4x\right)\cdot \:2x^2+\left(-4x\right)\cdot \:3x+\left(-5\right)\cdot \:2x^2+\left(-5\right)\cdot \:3x[/tex]

[tex]=6\cdot \:2x^2x^2+6\cdot \:3x^2x-4\cdot \:2x^2x-4\cdot \:3xx-5\cdot \:2x^2-5\cdot \:3x[/tex]

[tex]=12x^4+10x^3-22x^2-15x[/tex]

OAmalOHopeO

can i get some help. did it 3 times and still not sure.

Answers

Answer:

18

Step-by-step explanation:

The height of the cone is 8, and the diameter is 3. This means that the radius is 3/2, or 1.5. We can plug everything into the formula (using 3 for pi):

[tex]\frac{3(1.5)^2(8)}{3}[/tex]

We can cancel out the 3 from the numerator and the denominator, so we are left with 1.5^2 times 8. 1.5 squared is equal to 2.25, and 2.25 times 8 is equal to 18.


A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 12 ft from the
side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

Answer:

open degrees

Step-by-step explanation:

because I am added all the numbers so it comes

I can't understand that question

Samuel played a video game. He gained some points, lost 87 points, and
finished with less than 320 points, Which of the following inequality
represents the given situation?
A.) n-87 < 320
B.) N + 87 < 320
C.) N-87 = 320
D.) n +87= 320

Answers

Answer:

A

Step-by-step explanation:

The correct inequality that represents the given situation is: A.) n - 87 < 320.

How to explain the equation

The situation states that Samuel played a video game and gained some points. Let's represent the points he gained as 'n'.

Next, it is mentioned that he lost 87 points. To represent this in the inequality, we subtract 87 from the initial points gained, which gives us 'n - 87'.

Finally, the situation specifies that Samuel finished with less than 320 points. This means that the final score, represented by 'n - 87', is less than 320.

This inequality represents that the initial points gained by Samuel (n) minus 87 points is less than 320 points, indicating that his final score is less than 320 points after losing 87 points.

Learn more about equations

https://brainly.com/question/2972832

#SPJ2

F={(-1, 2), (3, 2), (4,2), (0, 2)} Is Fa function and why/why not?

Answers

Answer:

yes it is a function         A

Step-by-step explanation:

Which of the following could be the first step in solving the equation below ? 5 ^ x = 21

Answers

Answer:

D

Step-by-step explanation:

usually when your variable is an exponent you always take the log of both sides.

The possible first step of solving the equation is log 5^x = log 21

How to determine the first step?

The equation is given as:

5^x = 21

Take the logarithm of both sides of the equation

log 5^x = log 21

The above represents the possible first step of solving the equation

Hence, the possible first step of solving the equation is log 5^x = log 21

Read more about equations at:

https://brainly.com/question/2972832

Does anyone know how to do these?

Answers

Answer:

D.

Step-by-step explanation:

f(x) = [tex]\sqrt[3]{4x}[/tex]

g(x) = 2x + 3

[tex]\frac{f}{g}[/tex] (x)  = 'f' divided by 'g'

[tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex]    Substitute.

x cannot be -[tex]\frac{3}{2}[/tex] because that would create a zero in the denominator.

That's a no-no.

It makes it 'undefined'

b) 5(2x - 4)
Expand the following

Answers

Answer:

10x-20

Step-by-step explanation:

(5×2x)-(5×4)

10x-20

1. 80 = -10b
2. 6 = 2n
3. -16r = 32

1.
2.
3.

Answers

Answer:

1. - 8

2. 3

3. - 2

Step-by-step explanation:

1.

80 = - 10b

- 10b = 80

b = 80 / - 10

b = - 8

2.

6 = 2n

2n = 6

n = 6 / 2

n = 3

3.

- 16r = 32

r = 32 / - 16

r = - 2

Answer:

1. b = - 8
2. n = 3
3. r = -16

Step-by-step explanation:

we’re trying to solve for each variable

1. 80 = -10b

Divide both sides by -10

80/-10 = -10b/-10

-8 = b

2. 6 = 2n

Divide both sides by 2

6/2 = 2/2n

3 = n

3. -16r = 32

Divide -16 by both sides

-16r/-16 = 32/-16

r = -16

PLS HELP!
What effect will replacing x with (x + 7)have on the graph of the equation
y = x^2

Answers

Answer:

The answer would be C.

Compared to the original graph (red), the new graph (blue) is shifted 7 units to the left.

Step-by-step explanation:

Answer:

shift 7 units to the LEFT

Step-by-step explanation:

Select the relationship that does represent a function.

Answers

Answer:

c

Step-by-step explanation:

What should be subtracted from thrice the rational number -8/3 to get
5/2?

Answers

Answer: -21/2 or -10.5

Step-by-step explanation:

Let x be the number that is going to be subtracted from the rational number

3 × (-8/3) - x = 5/2 ⇒ Write the equation

-8 - x = 5/2 ⇒ Do multiplication

-8 - x + x = 5/2 +x ⇒ Add x on both sides

-8 = 5/2 + x ⇒ Simplify

-8 - 5/2 = 5/2 + x - 5/2 ⇒ Subtract 5/2 on both sides

x = -21/2 = -10.5 ⇒ Simplify

Hope this helps!! :)

Please let me know if you have any questions

If f(x)= 2x^2+1, what is f(x) when x=3

Answers

Hey there!

f(x) = 2x^2 + 1

y = 2x^2 + 1

y = 2(3)^2 + 1

3^2

= 3 * 3

= 9

y = 2(9) + 1

2(9) = 18

y = 18 + 1

y = 19

Answer: y = 19

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The answer is:

f(3) = 19

Work/explanation:

To evaluate the function, I plug in 3 for "x" :

[tex]\rm{f(x)=2x^2+1}[/tex]

[tex]\rm{f(3)=2(3)^2+1}[/tex]

Then, I square 3:

[tex]\rm{f(3)=2\times9+1}[/tex]

Take caution here; we do not add 9 + 1, we multiply 2 times 9 first, and only then, we add 1.

[tex]\rm{f(3)=18+1}[/tex]

[tex]\rm{f(3)=19}[/tex]

Hence, the answer is f(3) = 19.

Ronald's home is located 33 miles west and 56 miles north from his hotel. Find the distance from his hotel to his home.

Answers

89 miles if you add it up

The distance from his hotel to his home is 89 miles.

What is the distance?Distance is defined as an object's entire movement without regard for direction. The distance can be defined as how much ground an object has covered regardless of its starting or ending place.The quantity of space between two things, or the state of being far apart, is defined as distance. A five-foot gap between two tables is an example of distance. The disparity between two sides of an issue is an example of distance.Solution -

Given - Ronald's home is located 33 miles west and 56 miles north of his hotel.

To find the distance between Ronald's hotel to his home, add the distance.

∴ [tex]33 + 56 = 89[/tex]

Therefore, the distance from his hotel to his home is 89 miles.

Know more about direction here:

https://brainly.com/question/2748145

#SPJ2

need help asap pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

9514 1404 393

Answer:

  4a. 177

  4b. 248

  5a. 27

  5b. 9

  5c. 12

Step-by-step explanation:

4.

a) x is 3/4 of 1/2 of all, so is 3/8 of all.

  x = 3/8·472

  x = 177

b) x is 2/5 of 2/3 of all, so is 4/15 of all.

  x = 4/15·930

  x = 248

__

5.

Elaine gave her grandmother 3/4 of 48 = (3/4)(48) = 36 of the flowers. Then Elaine had 48 -36 = 12 flowers left.

Her grandmother gave 1/4 of 36 flowers = (1/4)(36) = 9 of the flowers to her neighbor. Elaine's grandmother has 36 -9 = 27 flowers now.

Elaine's grandmother has 27 flowersthe neighbor has 9 flowersElaine has 12 flowers
Other Questions
Amy walks from point A to point B along the segment AB. Fraser walks from point A to point C along the segment AC. Which statement is correct?Your answer:Amy walks a distance equal to the diameter, and Fraser walks a distance equal to the radius of the lawn.Both Amy and Fraser walk distances equal to the radius of the lawn.Both Amy and Fraser walk distances equal to the diameter of the lawn.Amy walks a distance equal to the radius, and Fraser walks a distance equal to the diameter of the lawn. what is precipitating ???anyone please tell me how to delete an I'd hlp mehhhhhhhhh plsssssssss Explain why a 1500m runner could not possibly run a race at the same pace as a 100m runner. essica is a one-third owner in Bikes-R-Us, an S corporation that experienced a $45,000 loss this year (year 1). If her stock basis is $10,000 at the beginning of the year, how much of this loss clears the hurdle for deductibility (assume the at-risk limitation equals the tax-basis limitation) fr33 p0ints/ umm? please help me with this question Basophils are granulocytes O a) involved in the process of manufacturing hemoglobin. b) involved in the process of allergic reactions. O c) that fight infections by microorganisms. d) that fight infections by parasites. h tr mnh vi c khng cc bn Please help on 25 its confusing me I need the correct answer Please help me determine this guys Arrange these jumbled words into a good sentence a. weather the this cuckoo is the likes. what is the moral you learn from the story of Kalidas The length of a rectangle is four more than three times the width. If the perimeter of this rectangle is at least 70 square centimeters. Write an inequality that can be solved to find the width of the rectangle what is the reason for being the whole world like a house. A nuclease enzyme breaks the covalent bond originally connecting the phosphate to the 5' carbon in a nucleic acid. After allowing this enzyme to completely digest the nucleic acid down to monomers, you perform tests to determine where the phosphate is attached to each monomer. Where do you expect to find this phosphate What do you understand by the "Projects of National Pride" 2. What was the activity or action that made Martin an adult in "The Medicine Bag"? What was Martin's Rite of Passage or Coming of Age moment? Please write complete proper sentences. In ABC, the measure of C=90, AC = 40, BA = 41, and CB = 9. What is the value of the tangent of B to the nearest hundredth? *WILL MARK BRAINLIEST* What is the area of Triangle PQR on the grid?A triangle PQR is shown on a grid. The vertex P is on ordered pair 7 and 6, vertex Q is on ordered pair 1 and 6, and the vertex R is on ordered pair 4 and 2. 5 square units 6 square units 10 square units 12 square units Read the paragraph and identify the adjectives used in it and write in a separate table Scolars are worshiped everywhere. No one likes a fool. An educated person can accomplish any task in any situation. People who don't read, don't care about others, don't know what to do and don't know how to do anything, suffer a lot in life. Anyone who likes patriarchal, prudent, helpful and obedient people. People who don't do their part are thugs. People with bad tempers are always disgusted. Not only hundreds, thousands, millions of crores but billions of people living on this earth have different tendencies. Man's conduct must be very good. Students should pay attention in time to associate with their friends as they get older. There is a big difference between being big and being good. In this world, anyone who does what is right will receive the same reward. People learn a lot from the people they have met, the places they have visited, the books they have read, and so on. So people should first take care of my habits and only care about the behavior of others. Students can learn a lot from peers who are older than them and who are first, second and third. Just as your parents have good manners and good manners, so must you have good manners.