8x + 4 = 3 ( x - 1 ) + 7 : solve

Answers

Answer 1

Answer:

[tex]\boxed{x=0}[/tex]

Step-by-step explanation:

[tex]8x+4=3(x-1)+7[/tex]

Expand brackets.

[tex]8x+4=3x-3+7[/tex]

[tex]8x+4=3x+4[/tex]

Subtract both sides by 4.

[tex]8x=3x[/tex]

Subtract 3x on both sides.

[tex]8x-3x=0[/tex]

[tex]5x=0[/tex]

Divide both sides by 5.

[tex]x=0[/tex]

Answer 2

Answer:

x=0

Step-by-step explanation:

8x + 4 = 3 ( x - 1 ) + 7

Distribute

8x +4 = 3x-3 +7

Combine like terms

8x+4 = 3x +4

Subtract 4 from each side

8x = 3x

Subtract 3x from each side

5x =0

x=0


Related Questions

In a game, two people each roll one dice. If one dice landed on a 6 and the other landed on the 5, find the least common multiple of the numbers they rolled.

Answers

Answer:

30

Step-by-step explanation:

6 = 6, 12, 18, 24, 30, 36

5 = 5, 10, 15, 20, 25, 30, 35

Simplify the following expression.
(2x – 3)(5x⁴ – 7x³ + 6x² – 9)​

Answers

Answer:

10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27

Step-by-step explanation:

All we have to do is distribute both terms of the binomial into the polynomial and combine like terms.

10x⁵ - 14x⁴ + 12x³ - 18x - 15x⁴ + 21x³ - 18x² + 27

10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27

Solve each system by the addition method.
2x + 4y = 28
X - 2y = 10
Put your answer in ordered pair (x, y) form.

Answers

2x + 4y = 28x - 2y = 10

When solving a system by addition, our goal is to cancel out one of the variables by adding the two equations together.

Notice that if we add these two equations together,

neither one of our variables will cancel out.

In this situation, we need to set things up so that when we do add

our two equations together, one of our variables will cancel out.

Notice that we have a 2x in our first equation.

If we had a -2 in our second equation,

then the x's would cancel out.

In order to create a -2x in the second equation,

we simply multiply both sides of the second equation by -2.

So we have (-2)(x - 2y) = (10)(-2).

Rewriting both equations, we have 2x + 4y = 28 and for

our second equation we have -2x + 4y = -20.

Now when we add our two equations together,

our x terms will cancel out and were left with 8y = 8.

Dividing both sides by 8, y = 1.

To solve for x, substitute a 1 in for y

in either one of the two equations.

So let's go with our first equation.

If we substitute a 1 in for y, we have 2x + 4(1) = 28.

4(1) is 1 according to the identity property of multiplication.

So we have 2x + 4 = 28.

Now subtract 4 from both sides to get 2x = 24.

Now divide both sides by 2 and x = 12.

Now put your answer in the form of the ordered pair {12, 1}.

Which of the following expressions is not equal to the others? 4ax2y 8ax y 2ayx4a ax 8y

Answers

Answer: 2ayx4a

Step-by-step explanation:

1) First, we will need to simplify each equation:

4ax2y = 8axy

8axy = 8axy

2ayx4a = 8ayx4a

ax8y = 8axy

2) We can now see that 2ayx4a is not the same as the others.

Use the Fundamental Theorem of Algebra to explain how many roots your expression can have. How many real roots and how many complex roots are possible? (x+3)^10

Answers

Answer:

We have the relation:

(x + 3)^10

As the degree of the polynomial is 10, we know that we can have 10 roots.

The theorem says that this has at least one complex root.

As you know, this is actually trivial, because for example, 4 can be a complex number with an imaginary part equal to zero.

In this case, the polynomial is only zero if we have x = 3.

Then we have 10 roots that are equal to x = 3.

and those 10 roots can be real, or we can have 10 roots equal to 3 + 0*i, that is a complex number.

Need help with this X y chart asap

Answers

Answer:

High Hopes <3

Barry

Identify any outlier(s) in the data.
{79, 75, 125, 61, 78, 63, 88, 76, 68, 82, 67}

Answers

Step-by-step explanation:

In my opinion 125 is an outlier because it is the only 3 digit number

y=-4x-5 y=3x-2 is (3,7) a solution of the system?

Answers

Answer:

No

Step-by-step explanation:

Does (3, 7) satisfy the first equation, y = -4x - 5?  Is 7 = -4(3) - 5 true?  NO.  Thus, (3, 7) cannot be a solution of the system

y=-4x-5

y=3x-2

The given point (3, 7) is not the solution in the given case.

What is a system of linear equations?

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

Given equations are as follows,

y = -4x - 5                                (1)

y = 3x - 2                                 (2)

In order to find whether (3,7) is the solution for them, substitute x = 3 and y = 7 in both the equations and check the LHS and RHS of both.

For equation (1),

y = -4x - 5  

LHS is y  = 7

RHS = -4x - 5

       = -4 × 3 - 5

       = -17

Since, LHS ≠ RHS, the given values of x and y are not the solution for the given equation.

Now, equation(2) need not to be checked as the result for the given values is already not valid for equation(1).

Hence, the given coordinate  (3,7) is not the solution for the given equations.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

PLZ SOLVE ASAP Solve for f. -11f=7(1-2f)+5

Answers

Answer:

f = 4

Step-by-step explanation:

Step 1: Distribute

-11f = 7 - 14f + 5

Step 2: Combine like terms

-11f = 12 - 14f

Step 3: Add 14f to both sides

3f = 12

Step 4: Divide both sides by 3

f = 4

Answer:

F = 4

solution,

-11f=7(1-2f )+5

Or -11 f = 7-14 f +5

Or -11 f +14 f = 5+7

Or 3 f = 12

Or f=12/3

F = 4

hope this helps...

good luck on your assignment...

write the equation of the circle with its center at (-7, 8) and a radius of 9.

Answers

Answer:

(x + 7)^2 + (y -  8)^2 = 81.

Step-by-step explanation:

According to the diagram below, the equation of a circle is (x - h)^2 + (y - k)^2 = r^2.

In this case, h = -7, k = 8, and r = 9.

(x - -7)^2 + (y - 8)^2 = 9^2

(x + 7)^2 + (y -  8)^2 = 81.

Hope this helps!

Answer:

(x + 7)² + (y - 8)² = 81

Step-by-step explanation:

The equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

We can plug in the values given, since we are given the center coordinates and radius value:

(x - h)² + (y - k)² = r²

Plug in the center coordinates:

(x + 7)² + (y - 8)² = r²

Plug in the radius:

(x + 7)² + (y - 8)² = 9²

(x + 7)² + (y - 8)² = 81

The equation will be (x + 7)² + (y - 8)² = 81

HELP ASAP Linear Equations

Answers

Answer:

4th choice: I and IV only

Step-by-step explanation:

Change the form of the given equation to standard form.

y = -2/3 x + 2

3y = -2x + 6

2x + 3y = 6

Now compare this equation with the 4 choices.

Any equation that has the same x- and y-terms but a different constant term is parallel.

I. is parallel.

II. and III. are not parallel.

Look at IV.:

4x + 6y = 3

Divide both sides by 2:

2x + 3y = 3/2

IV. is also parallel.

Answer: 4th choice: I and IV only

Answer:

I and IV only

Step-by-step explanation:

In order for graphs to be parallel, they must have the same slope

In this case, we are looking for a slope of -2/3

We can find the other slopes by solving for y (y=mx+b)

I. 2x+3y=10

Subtract 2x from both sides

3y=-2x+10

Divide by 3

y=-2/3+10/3 This works since the slope is identical

II. 2x-3y=9

Follow a similar progression as the previous (subtract the x's and divide the y's)

-3y=-2x+9

y=2/3=3 This doesn't work since it is positive

III. 4x-6y=30

-6y=-4x+30

y=2/3 x-5 (4/6 simplified to 2/3) Also doesn't work since it is positive

IV. 4x+6y=3

6y=-4x+3

y=-2/3x+3 (-4/6 simplified to -2/3) This one works, it is identical

This school is also thinking of changing their mascot to an armadillo. To change mascot, a 55% supermajority is needed. How many of the 240 students need to vote "yes" for the mascot to change

Answers

Answer:

132 students

Step-by-step explanation:

100% means all of something, so 100% can also be written as 1.00

Since we need 55% of 240, we can multiply 240 by 0.55 and get 132.

Gill has five boxes that contain only red and yellow counters.
She takes a counter from a box without looking.
If the probability that she takes a red counter is 0.7, which box did she take it from? (1 mark)

Answers

Answer:

Box e

Step-by-step explanation:

14/20=0.7

***plss help BRAINLIEST IF ANSWERED**
Circle D is shown with the measures of the minor arcs. Which angles are
congruent?

<EDH and <EDF
<EDF and <FDG
<FDG and <GDH
<GDH and <EDF​

Answers

Answer:

<EDF and <FDG

Step-by-step explanation:

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Answer:

<EDF AND <FDG

Step-by-step explanation:

JUST took the form

what is the equation of the line with the coordinates (-10,-7) and (-5,-9)

Answers

Answer:

y = − 2/5x − 11

Step-by-step explanation:

To answer this, we need to put it into y = mx + b form. First, we need to find the slope. The equation for that is:

[tex]m = \frac{-9 - (-7)}{-5 - (-10)}[/tex]

[tex]m = -\frac{2}{5}[/tex]

We now have the slope. Now, we need to figure out b, or the y-intercept. Using y = mx + b, we substitute the slope and an x value (it doesn't matter whether it's -10 or -5, but let's use -10 for now) and a y value (same thing).

[tex]-7 = (-\frac{2}{5})(-10) + b[/tex]

[tex]b = -11[/tex]

All that's left to do is plug it in! Our final answer is:

[tex]y = - \frac{2}{5}x - 11[/tex]

Answer:

[tex]y = - \frac{2}{5} x - 11 [/tex]

Step-by-step explanation:

[tex] (-10,-7) and (-5,-9) \\ x_{1} = - 10 \\ y_{1} = - 7 \\ x_{2} = - 5 \\ y_{2} = - 9[/tex]

[tex] \frac{y - y_{1}}{x -x_{1} } = \frac{y_{2} -y_{1}}{x_{2} - x_{1} } \\ \frac{y -( - 7) }{x - ( - 10)} = \frac{ - 9 - ( - 7)}{ - 5 - ( - 10)} \\ [/tex]

[tex]\frac{y + 7}{x + 10} = \frac{ - 2}{5} \\ cross \: multiply \\ 5(y + 7) = - 2(x + 10) \\ 5y + 35 = - 2x - 20[/tex]

[tex]collect \: like \: terms \: \\ 5y = - 2x - 20 - 35 \\ 5y = - 2x - 55 \\ \frac{ 5y = - 2x - 55}{ 5} \\[/tex]

[tex]y = - \frac{2}{5} x - 11[/tex]

I need some help with this is that possible

Answers

Answer:

x(-5,0) ,y(0,5)

Step-by-step explanation:

Answer:

The slope is - 5,0

Step-by-step explanation:

U just draw a line from where the - 5 cut the line n from there to zero too

______ × 1.3 = 1.56 can you help me please

Answers

Answer:

1.2

Step-by-step explanation:

to get the answer divide 1.56/1.3=1.2

1.2*1.3=1.56

Answer: 1.2

Step-by-step explanation:

Divide both sides of the equation by 1.3

X=1.56/1.3

X=1.2

Plug in 1.2 x 1.3 = 1.56

Please answer this question now in two minutes

Answers

I hope this helps you

x+x-47=x+42

x=42+47

x=89°

Hey there! :)

Answer:

x = 89°.

Step-by-step explanation:

x + 42 is supplementary to the inside angle at the top of the triangle, so:

The top angle of the triangle is equal to:

180 - x - 42.

All of the angles in a triangle add up to 180°, therefore:

180 = x + x - 47 + 180 - x - 42

Combine like terms:

180 = 2x + 133 - x - 42

180 = x + 91

Subtract 91 from both sides:

89 = x.

Therefore, x = 89°.

A shop advertises 10% off its prices in a sale.
A book is £6.30 in the sale
How much was it before the price reduction?​

Answers

Answer:

£7

Step-by-step explanation:

Since the sale is 10% the original price, every item is being sold for 90% of its original price. Now the problem is: £6.30 is 90% of what number?

Let x = original price before sale

6.30 = 0.9x

0.9x = 6.3

Divide both sides by 0.9

x = 6.3/0.9

x = 7

Answer: £7

passes through ( 4,10 ) and has vertex (0,0) PLSSS HELP !!!

Answers

Answer:

x^2-4x

Hope this helps

Also, thanks for 13 points

Harry goes to Hogwarts School of Witchcraft and Wizardry. He can travel to school and back in 333 different ways: by the Hogwarts Express, a flying car, or the Knight Bus. He's decided to choose his methods of transportation to and from Hogwarts at random this year. Which of these tables lists all the different ways Harry can get to Hogwarts and back? (Each row represents one outcome.) Choose all answers that apply: Choose all answers that apply:

Answers

Answer:

its table A and B

Step-by-step explanation:

Answer:

both answers

Step-by-step explanation:

BRAINLIEST IF YOU HELP the correct simplification of 7x2(6x + 3x2 − 4)? A 21x4 − 42x3 + 28x2 B 42x4 + 21x3 − 3x2 C 21x4 + 42x3 − 28x2 D 42x4 − 13x3 + 11x2

Answers

[tex]\text{Simplify:}\\\\7x^2(6x + 3x^2- 4)\\\\\text{Use the distributive property:}\\\\42x^3+21x^4-28x^2\\\\\text{You can arrange them by exponent}\\\\21x^4+42x^3-28x^2\\\\\text{This means that your answer will be C).} 21x^4 + 42x^3 - 28x^2\\\\\boxed{\text{C).}\,\,21x^4 + 42x^3 - 28x^2}[/tex]

Answer:

It is C

Step-by-step explanation:

What is the domain of the function y= Vx+4

Answers

Answer:

y = √ x + 4

The domain of a function is the value in which you put in the function will make it undefined.

To find the domain equate the function to zero

That's

√x + 4 = 0

square both sides

x + 4 = 0

x = - 4

The domain of the function is x E R except - 4

Hope this helps

Answer:

Step-by-step explanation:

y=√x+4

domain is [0,∞)

range is [4,∞)

What are the non permissible values of (2n-5)/(3n+1)

Answers

Answer:

n= -1/3

Step-by-step explanation:

To find non permissible values (npv), focus on the denominator of an expression

In this case, the denominator is:  (3n+1)

The npv is basically the value that would make the expression equal to 0

So, make the expression in the denominator equal 0

     3n+1 = 0

Solve for n

    3n= -1

    n = (-1/3)

Thus, the npv for this equation is n= -1/3

Find the distance along an arc on the surface of the earth that subtends a central angle of 6 minutes (1 minute = 1/60 degree). The radius of the earth is 3960 miles.

Answers

Answer:

The distance is 6.9115 miles.

Step-by-step explanation:

To solve this problem we can use a rule of three.

The length of a circumference is 2*pi*r, and if we have a fraction of the whole arc, we have that:

360 degrees -> arc of 2*pi*r

6 * (1/60) degrees -> arc of x

So we have that:

[tex]x * 360 = (1/10) * 2*\pi*r[/tex]

[tex]x = (1/10) * 2 * \pi * 3960 / 360[/tex]

[tex]x = (1/5) * \pi * 11[/tex]

[tex]x = (11/5)*\pi = 6.9115\ miles[/tex]

The distance is 6.9115 miles.

1 1/4 3 1/2. additon

Answers

Answer:

19/4

Step-by-step explanation:

First convert 1 1/4 into a improper fraction:

5/4

Then convert 3 1/2 into a improper fraction:

7/2

Now find the LCM of both denominators:

4

Now multiply the fractions such that the denominators are equal to 4:

5/4 x 1/1 = 5/4

7/2 x 2/2 = 14/4

Now add the numerators:

5 + 14 = 19

Now put the numerator and denominator together to get:

19/4

Answer:

4 3/4

Step-by-step explanation:

1 1/4 +3 1/2 =

5/4 + 7/2=

5/4 + 14/4=

19/4= 4 3/4

Trapezoid PQRS is the image of a trapezoid ABCD after a sequence of translations.

Hint: The shapes are congruent (identical).


Tell whether each statement is True or False.

Answers

Answer:

All are true except d

Step-by-step explanation:

● a

Since both shapes are congruent, the sides AB and PQ are identical. They have the same length

● b

The same goes for these sides. They are indentical.

● c

The angles B and Q are indentical so they have the same size.

● d

The angles c and p aren't identical.

● e

Since both shapes are trapezoids

AD and BC are parallel and the same goes for PS and Qr

Try to answer the following question without running the code in Python:

If we run the following program:
a = 2 + 6
b = 7 % 3
c = a - b
c = c * 5
print(c)

what gets printed?

Answers

Answer:

35

Step-by-step explanation:

Given

the above lines of code

Required

What's the output

We'll analyze the code line by line

a = 2 + 6

At this point a = 8

b = 7 % 3

At this point b = 1. This is so because, the remainder of 7%3 is 1

c = a - b

At this point c = 7;

This is calculated by c = 8 - 1 = 7

c = c * 5

At this point; c = 35

This is calculated by: c = 7 * 5 = 35

print(c)

The value of c, which is 35 is printed

1.Identify the largest odd number from the
eight numbers below.
23,18,92,41,31,12,21,90,21,9O

Answers

Answer:

41

Step-by-step explanation:

Odd numbers end in 1, 3, 5, 7, and 9.

The odd numbers from the list are:

23, 41, 31, 21, 21

The largest number from the list is:

41

Answer: 41

Step-by-step explanation:

that's the answer

two angles of a triangle measure 27 degrees and 17 degrees what is the measure of the third angle? A) 146 degrees B) 136 degrees C) 46 degrees D) 44 degrees

Answers

Answer:

The third angle is 136

Step-by-step explanation:

The three angles of a triangle add to 180

27+17+x = 170

Combine like terms

44+x = 180

Subtract 44 from each side

44+x-44 =180-44

x =136

Answer:

136° is the answer.

Step-by-step explanation:

given ,

1st angle=27°

2nd angle= 17°

let the third angle be x

then ,x+27°+17°=180°

or x+44°=180°

or, x=180_44

therefore the value of x is 136°.

Other Questions
On December 31, Jarden Co.'s Allowance for Doubtful Accounts has an unadjusted credit balance of $14,000. Jarden prepares a schedule of its December 31 accounts receivable by age. Accounts Receivable $ 860,000 344,000 68,800 34,400 13,760 Age of Accounts Receivable Not yet due 1 to 30 days past due 31 to 60 days past due 61 to 90 days past due Over 90 days past due Expected Percent Uncollectible 1. 20% 1.95 6.45 32.50 67.00 Required: 1. Compute the required balance of the Allowance for Doubtful Accounts at December 31. Accounts Receivable Percent Uncollectible (#.##%) Estimated Uncollectible Not due: 1 to 30: 31 to 60: 61 to 90: Over 90: Estimated balance of allowance for uncollectibles 2. Prepare the adjusting entry to record bad debts expense at December 31. (Round percentage answers to nearest whole percent. Do not round intermediate calculations.) When Winston hears O'Brien what does he think, and what does he discover? What are some delegated, reserved, and concurrent powers you can think of? list 3 each power. One cup of cooked spinach contains 377% of the recommended daily value of Vitamin A. What fraction (or mixed number) is that? * In agovernment, goods and services are equally shared, and the political power is distributed among thepeople. Answer the question answer question Consider fully developed laminar flow in a circular pipe. If the viscosity of the fluid is reduced by half by heating while the flow rate is held constant, how will the pressure drop change 5x+2y=57 what is x and y equal to? A Democratic president faced with a Republican-majority Senate is trying to appoint judges to the federal bench. Which of the following is the most likely reason that his appointments might be blocked? what was the result of the allied offensive during the Battle of the Somme? A p e xA. The Allies were defeated when a German counterattack broke through.B. The Allied forces broke through Germany's defenses and advanced.C. Germany was defeated and forced to accept an unconditional surrender.D. Despite heavy losses, the Allies were unable to break the German lines. The electron density in copper is 8.49 1028 electrons/m3. When a 1.00 A current is present in a copper wire with a 0.40 cm2 cross-section, the electron drift velocity, in m/s, with direction defined relative to the current density, is The question is in the image below. PLEASE ANSWER, HURRRRRYYY!!! If a sky diver decides to jump off a jet in Arkansaswith the intention of floating through Tennessee toNorth Carolina, then completing his journey in alikely manner back to Arkansas by drifting Northfrom his last point. What state would be the third tbe drifted over and what is the estimated distancebetween the zone and then drop point? PLEASE HELP What effects did the Crusades have on European markets? (Select all that apply.) The Crusades caused the papacy to declare bankruptcy. The Crusades caused rampant inflation in the Holy Roman Empire. The Crusades generated an economic boom in Europe and the Middle East. The Crusades created an increase in the demand for Near East spices. Does anyone know how to do all of this If you were conducting a study in which you created a research report that discussed the rituals and norms that were characteristic of the group of people you were studying and focused on how the group members interacted with each other, you would most likely have conducted:_________ Which word could best replace the word Vigilant with out changing the overall meaning of the passage Jacob Co. sells merchandise on credit to Isaiah Co. for $9,700. The invoice is dated on May 1 with terms of 1/15, net 45. What is the amount of the discount and up to what date must the invoice be paid in order for the buyer to take advantage of the discount? A ball moving at a velocity of 10 meters/second has a momentum of 8.0 kilogram meters/second. What is its mass?