x-2=4(x+1) divided by 2

Answers

Answer 1
Answer is x = -4

Step by step

x -2 = 4(x + 1) /2

x - 2 = 4x + 4 /2

To eliminate the division we will multiply both sides by 2

2(x - 2) = 4x + 4 (2) /2

2x -4 = 4x + 4

Subtract 4x from both sides to isolate variable

2x -4x -4 = 4x - 4x + 4
Combine

-2x -4 = 4

Now add 4 to both sides to combine constants

-2x -4 +4 = 4 + 4
Combine

-2x = 8

Divide both sides by -2 to solve for x

-2/-2 x = 8/-2

x = -4

Related Questions

the first one please help!!

Answers

The y-intercept of f(x) is equal to the y-intercept of g(x).

Y-intercept explained ?

the y-coordinate of a point on a surface, curve, or line where they cross the y-axis.

How can I find the y-intercept?

Finding the value of y at x=0 will help you locate the y-intercept on a graph. The graph's intersection with the y-axis occurs here.

What is the slope's y-intercept?

When the slope of the line being studied is known, and the provided point is also the y - intercept, the slope intercept formula, y = mx + b, is utilized (0, b). B is used in the equation to indicate the y value of the y intercept point.

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3. Sandra signed up for Workout Jazz during the
spring special. Which equation represents
the proportional relationship?

Answers

The proportional relationship that models this situation is given by:

y = 16.99x, 0 ≤ x ≤ 12.

What is a direct proportional relationship?

In a direct proportional relationship, the output variable y is found as the multiplication as the multiplication of the constant k by the input variable x, according to the following rule:

y = kx

In the context of this problem, the input variable and the output variable are given as follows:

x: number of months.y: total cost of the plan during x months.

The monthly cost for the first 12 months is of $16.99, hence the constant is given as follows:

k = 16.99.

Considering the given domain, the relationship is modeled by the following equation:

y = 16.99x, 0 ≤ x ≤ 12.

What is the missing information?

The missing information is that for the first 12 months, the monthly cost of the plan is of $16.99.

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A floor plan of an apartment has a rectangular living room. Its length is 10​ centimeters and its width is 4 centimeters. The scale of the floor plan diagram is 2 centimeters for every 1​ meter. What is the actual area of the apartment's living room?

Answers

The actual area of the apartment's living room is 10 [tex]m^{2}[/tex]

Given

Room is in the shape of a rectangle

Length of the room  (L)= 10 cm

Width of the room    (W) = 4 cm

Also the scale of floor plan is 2 cm for every 1 meter

Initially the are of the living room = area of rectangle

Area of the rectangle = length × width

                                   = 10 × 40

                                   = 40  [tex]cm^{2}[/tex]

To find actual floor area we need to scale the dimensions

Since 2cm = 1 m

10cm = 5m and 4 cm = 2m

Now calculating the actual area

Area = length × width

        = 5×2

        =10 [tex]m^{2}[/tex]

Hence the actual area of the living room is 10 [tex]m^{2}[/tex]

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Please Help me turn vertex form to standard form!!

Answers

Answer:

See below

Step-by-step explanation:

y  =  -(x-1)^2 +4       Expand  R side

y = - ( x^2 -2x+1) + 4

y = -x^2 +2x -1  + 4

y = -x^2 + 2x + 3          a = -1     b = 2    c   = 3  

Micah is planning a road trip. He estimates that he will drive a total of of 7 hours. He wants to stop for gas after ⅓ of the total time has passed. How long will he drive before he stops for gas? Express your answer as a mixed number.

Answers

Answer:

After 2 1/3 hours.

Step-by-step explanation:

For this you have to calculate how much hours is 1/3 of 7 hours. The word 'of' implies a multiplication function.

1/3 * 7 = 7/3 = 2 1/3

graph this function f(x) = 1/4(x) - 7

Answers

Answer:

This is your graph to the following equation f(x) = 1/4(x) - 7

This is f(x)=1/4(x)-7 when graphed

Select the EXAMPLE(S) that demonstrate financial honesty.


1.Cooper includes all truthful information when he completes an application for a checking account.

2. Brianna writes a check knowing that she has the funds in her checking account to cover it.

3. Allison makes a large purchase with store credit without knowing how she will pay for it.
4. Greg discloses all the fees in the sales contracts for the products he sells in his store
(multiple choice) help please

Answers

Answer: 1, 2, and 4

Step-by-step explanation:

1. Cooper included ALL truthful information.

2. Brianna KNOWS she has the funds.

3. Allison makes a large purchase WITHOUT knowing how she will pay.

4. Greg discloses ALL fees.

Which function produces a range of {−11,−5,1,4,10} given a domain of {−2,0,1,3,5}?
theres a pic to help u understand more

Answers

Answer:

f(x) = -3x + 4

Step-by-step explanation:

Plug domain into each function and see if it matches any values in the range.

Help me please someone this is very confusing to me.

Answers

Answer:

7

Step-by-step explanation:

slope = rise/run = (difference in y)/(difference in x)

First, we find a difference in y.

Subtract any two values of y.

For example: 35 - 14 = 21

Now we find the corresponding difference in x.

Now subtract the x values corresponding to those y values in the same order.

-1 in x corresponds to 35 in y.

-4 in x corresponds to 14 in y.

That means your difference in x is the subtraction -1 - (-4) = -1 + 4 = 3

The difference in y is 21.

The difference in x is 3.

slope = (difference in y)/(difference in x) = 21/3 = 7

Answer: 7

How much do 6 dresses cost if 2 dresses cost $44?​

Answers

The first thing you have to do is find out how much one dress costs if it’s $44 for two dresses then you have to divide 44 by 2 that gives you the answer 22To find out how much six dresses cost you multiply the cost of one dress by 6, 22×6 equals 132
YOUR ANSWER IS 132

is 15 feet above sea level negative or positive or a zero

Answers

Answer:

Positive

Step-by-step explanation:

Below sea level would be negative and at sea level would be zero.

positive. above is positive, below is negative :)

Solve this problem!!! PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

1.264×10^-5

Step-by-step explanation:

If you are allowed to use a calculator, it will totally do this question for you. Check mode for Sci Not or use the ^ or EE button.

If no calculator allowed, factor out the 10^-6 and add the numbers. Change back to Scientific Notation and fix the first number. It has to have one digit to the left of the decimal. Adjust the exponent to account for changing 12.64 to 1.264 See image.

Three students are participating in a walkathon. The data for each student is shown. Student A: the equation y = 14x represents the amount of money raised (y) for walking (x) miles

Student B:$42 is raised after walking 3 miles.

Student C: miles walked 6 and 9 money raised $72 and $108
Answer choses
Student A
Student B
Student C
All three students raised the same amount of money after walking 8 miles.

Answers

The student that raised the least amount based on the information is student C.

How to illustrate the information?

For student A, the equation illustrated is y = 14x and this represents the amount of money raised (y) for walking (x) miles.

For student B, $42 is raised after walking 3 miles. The amount raised per mile will be:

= $42 / 3

= $14 per mile

For C, The miles walked 6 and 9 and the money raised $72 and $108. This shows that the amount is:

= $72 / 6

= $12 per mile.

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Three students are participating in a walkathon. The data for each student is shown. Student A: the equation y = 14x represents the amount of money raised (y) for walking (x) miles

Student B:$42 is raised after walking 3 miles.

Student C: miles walked 6 and 9 money raised $72 and $108

Who raised the least amount

Answer:

The student that raised the least amount based on the information is student C.

Step-by-step explanation:

a population of watermelons in a farmer’s field has unknown population mean weight , but the population standard deviation weight is known to be about

Answers

95% confidence interval for the true population mean watermelon weight. is (69.94, 72.06)

Confidence Interval formula = Mean ± z × Standard deviation/√n

Mean = 71 ounces

Standard deviation = 2.8 ounces

z score = 95% confidence interval = 1.96

Confidence Interval = 71 ± 1.96 × 2.8/√27

= 71 ± 1.96 × 0.5388602512

= 71 ± 1.0561660924

71 - 1.0561660924

= 69.943833908 ounces

Approximately = 69.94 ounces

71 + 1.0561660924

= 72.0561660924 ounces

Approximately = 72.06 ounces

95% Confidence Interval = (69.94, 72.06).

the complete question is

You measure 27 watermelons' weights, and find they have a mean weight of 71 ounces. Assume the population standard deviation is 2.8 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight.

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What is 6.849 times ten to the fourth power minus 2.329 times ten to the negative second power express the answer in scientific notation rounding to 2 decimal places.

Answers

the answer in scientific notation rounding to 2 decimal places is given by 68490.98

What is 6.849 times ten to the fourth power minus 2.329 times ten to the negative second power express the answer in scientific notation rounding to 2 decimal places.

6.849 *(10)^4=6.849* 10000=68490

2.329*(10)^-2= 0.02329

according to the question

6.849 times ten to the fourth power minus 2.329 times ten to the negative second power

therefore 68490-0.02329

           =68489.9767

round to 2 decimal

the answer in scientific notation rounding to 2 decimal places is given by 68490.98

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PLEASE HELP IM BEGGING

Answers

Answer:

y= 3/2 x + -4

Step-by-step explanation:

-4 Is the y intercept (the vertical axis)
the 3/2 is the rise over run of the line (how many up over how many across). It's positive because of the slope up to the right.

Something's Strange about this little problem..
99 + 2 = ?

Answers

Answer:

the answer is 101 !!!

There's isn't nothing strange your just over thinking it!

101! :D
Trust your gut, thanks for the points :)
Have a good night !!

Which could be the first step in solving the equation represented by the model below? XX X X Add 4 negative unit tiles to both sides. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side. Add 4 positive unit tiles to both sides. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.​

Answers

The most appropriate choice for linear equation will be given by -

First option is the correct option

Adding 4 units negative tiles to both sides.

What is linear equation?

Equation shows  the equality between two algebraic expressions by connecting the two algebraic expression by an equal to sign.

A one degree equation is called linear equation.

Here,

The equation is 3x + 4 = 2x + 6

For the second option,

If we have to add 4 units negative tiles to left side, we will also have to add 4 units negative tiles to right side.

Second option is wrong

For the third option

We have to add four units negative tiles to both sides, not 4 units positive tiles.

For the fourth option

Adding 6 units negative tiles to left side and 4 units negative tiles to right side will not eliminate any of 6 or 4.

So the first option is correct.

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Complete Question

The diagram has been attached below

a fruit salad contains pineapples, apples. bananas, and oranges. It contains twice as many bananas as apples, 10 times as many oranges as pineapples, and the same number of apples as oranges. Jeff made this fruit salad using 1 pineapple. How many of each of the other fruits did he use

Answers

Using algebraic expression, if Jeff made the fruit salad using one pineapple, then he use 10 oranges, 10 apples and 20 bananas

Number of pineapples = 1 pineapple

Number oranges equal to the 10 times the number of pineapples

We have to multiply number of pineapples by 10

Number of oranges = 1×10

= 10  oranges

Number of oranges equal to the number of apples

Number of apples = 10 apples

Number of bananas equal to the twice the number of apples

Number of bananas = 2×10

= 20 bananas

Hence, using algebraic expression, if Jeff made the fruit salad using one pineapple, then he use 10 oranges, 10 apples and 20 bananas

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what congruence short cut do I use

Answers

By ASA or SAS the triangles can be proves congruent.

What is Congruence of triangles?

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance.

As, from the given figure we can find some equal parts.

First we have two triangles named KOE and LOB

Now, in both triangles

EO = OB  ( given)

<KOE =< LOB (Vertically opposite angle)

Now, we have one side and one angle congruent.

There are two possibilities now either we have another pair of side to make SAS Congruence or we have another angle congruent to make ASA congruence.

So, either KO = OL or

<LBO = <OKE.

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The square root of a certain number is approximately 9.2371. The certain number is between what 2 integers

Answers

The number square root of which is 9.2371 is equal to 85.32 and it lies between two integers which are 81 and 100.

What is an integer ?

Integer is the collection of whole numbers and negative numbers. It does not include the fractional part.

It is given that square root of a decimal number is 9.2371 and we have to find out that the number lies between which 2 integers.

We know that the integer 9 is less than 9.2371 , so the square of 9 will be :

9² = 81

And

The square of next integer 10 is equal to 100.

The square of 9.2371 will be equal to :

= (9.2371)²

= 85.32

So , the number is 85.32 and it lies between 2 integers which are 81 and 100.

Therefore , the number square root of which is 9.2371 is equal to 85.32 and it lies between two integers which are 81 and 100.

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In Barangay San Jose, it was found that the population double every 10 years. If in the year 1995, the population was 7824, what will be the population in the year 2015?

Answers

The population in the year 2015 is 31296.

In 1995 the population was 7824. It was found that the population gets double every 10 years.

We have to find the population in the year 2015.

Rate = 200% = 2

Time =( 2015 - 1995) / 10

        = 20/10

        = 2

The population in 2015 = population in 1995 ×[tex]rate^{time}[/tex]

                                       = 7824 × [tex]2^{2}[/tex]

                                       = 7824 × 4

                                       = 31296

Therefore the population in the year 2015 is 31296.

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How do you proof that sqrt(2) is irrational?
I tried this,
p/q = sqrt(2)
p^2/q^2=2
p^2=2q^2
let p = q * sqrt(2) , (equation from top one)
(q*sqrt(2))^2=2q^2
2q^2=2q^2,
q=q

Is anything wrong or does this also prove that sqrt(2) is irrational, if so how?

Answers

Assume √2 is rational, so

√2 = p/q

for some relatively prime integers p,q - meaning we can't reduce p/q any further - and q ≠ 0.

Then

p = √2 q

and squaring both sides gives

p² = 2q²

This tells us that p² is even, so 2 divides p². But if 2 divides p², it must also divide p, since p is a square number. So p = 2r for some integer r, and we have

(2r)² = 2q²

4r² = 2q²

2r² = q²

We're in the same situation as before - 2 divides q², so 2 divides q. Both p and q are thus divisible by 2, but this contradicts our assumption that p and q are relatively prime, which means √2 cannot be expressed as a rational number p/q. Therefore √2 is irrational.

What you've written in your proof is technically correct, but it doesn't help in the irrationality proof.

Surface Area from a Net

Answers

He used 647.75 square meters of wrapping paper to wrap the gift.

According to the question,

We have the following information:

We have a figure made of 2 same triangles and 3 rectangles with different measurements.

Area of triangle = 1/2 * base*height

Area of triangle = (1*7*14)/2

Area of triangle = 49 [tex]m^{2}[/tex]

Now, the area of another same triangle will also be 49 [tex]m^{2}[/tex].

Now, we have:

Area of upper rectangle = length*breadth

Area of upper rectangle = 15*14

Area of upper rectangle = 210 [tex]m^{2}[/tex]

Area of middle rectangle = length*breadth

Area of middle rectangle = 15*7

Area of middle rectangle = 105 [tex]m^{2}[/tex]

Area of lower rectangle = length*breadth

Area of lower rectangle = 15.65*15

Area of lower rectangle = 234.75 [tex]m^{2}[/tex]

Now, the area of the wrapping paper will be the sum of all of these areas.

Area of paper = Area of 2 triangles + area of upper rectangle + area of middle rectangle + area of lower rectangle

Area of paper = 49+49+210+105+234.75

Area of paper = 647.75 [tex]m^{2}[/tex]

Hence, the area of wrapping paper is 647.75 [tex]m^{2}[/tex].

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A ticket to see your favorite baseball team costs ​37.26$. That price decreases by ​0.28$ for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L​ losses? Represent the total change in the cost of a ticket after the team loses 37 games. What is the price of a ticket after the team loses 37 ​games?

Equation: (C Stands for Cost and L stands for losses)

37.26 C-0.28 L

The total change in the cost of a ticket is dollars.

Answers

The equation that represents the given situation is required.The cost of the ticket after L losses is a. Initial cost of the ticket = $49.64Price decrease per game lost = $0.41Number of games lost = LMoney lost after L losses is So, the cost of the ticket after L losses would be the initial cost of the ticket minus the money lost after L losses.The cost of the ticket after L losses is a. 

PLEASE HELP. Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. 1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work. 2. Describe how you would graph this line using the slope-intercept method. Be sure to show all your work. 3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to show all your work. 4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology. 5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

They are similar because they have the same slope the equation is

y = -2/3x + 531

What is in slope-intercept form?

Given a line's slope and the intercept it makes with the y-axis, one of the mathematical forms used to determine a straight line's equation is called the slope intercept form. The slope intercept form is expressed as y = mx + b, where m is the slope of the straight line and b is the y-intercept.

changing 2x+3y=1470 to slope intercept form is solving for y

minus 2x both sides and divide by 3

y = -2/3x + 490

the slope is -2/3

the y intercept is y=490 or the point (0,490)

to graph it, I would start at the origin and go up 490 units on the y axis and put a point there

then go -2 units up (2 down) and 3 to the right and put a point there

then connect the 2 points with a line

in function notation, replace y with f(x) to get

y = -2/3x + 490

graph below

intercepts labeled

2x+3y=1593

they are similar because they have the same slope

the equation is  y = -2/3x + 531

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I need help with this question please

Answers

Answer:

x=-4.5 x=-0.5

y=-1

vertex=-2

x³-10x = 100
Use a trial and improvement method to find this solution.
Give your answer correct to 1 decimal place.
You must show all your working out

Answers

The value of x is approximately 5.4 when x^3 -10x = 100

How to solve the equation?

The equation is given as:

x^3 -10x = 100

Using trial by error, we keep testing for the value of x that is true for x^3 -10x = 100

After several attempts, we have:

x = 5.4 (approximately)

Substitute 5.4 for x in x^3 -10x = 100

5.4^3 -10 * 5.4 = 100

Evaluate

103.5 = 100

Approximate

100 = 100This means that x is approximately 5.4 when x^3 -10x = 100

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MATHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH LOOK AT PHOTO

Answers

The percentage of students that use other means to travel school is  24%

What is method for finding percentage?

Percentage is the ratio of  the number for which you want to find  percentage to the total number with which you want to compare or out of and multiply this ratio with 100.

percentage = (part / whole) ×100

Given that a school has 825 total students.

Percentage of students travelling by car = 20%

Percentage of students travelling by bus = 48%

Percentage of students travelling by bicycle = 8%

Number of students travelling by car = 20% of 825 = (20/100)×825 = 165

Number of students travelling by bus = 48% of 825

= (48/100)×825 = 396

Number of students travelling by bus  = 8% of 825 = (8/100)×825 = 66

Number of students travelling by other means = 825-165-396-66 = 198

Therefore, the Percentage of students travelling by other means  = (198/825) ×100 = 24%

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For a project in her Geometry class, Mila uses a mirror on the ground to measure the height of her school’s football goalpost. She walks a distance of 13.45 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center. She then steps 1.2 meters to the other side of the mirror, until she can see the top of the goalpost clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.35 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.

Answers

The goalpost is 15.13 meters tall which is labeled as X in the figure which has been attached below.

She walks 13.45 meters away from the goalpost, then places a mirror flat on the ground with an X in the center. She next walks 1.2 meters to the opposite side of the mirror, where she can easily see the top of the goalpost depicted in the X. Her partner determines that the distance between her eyes and the ground is 1.35 meters.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

As per the given information, the figure has been attached below.

Set up the proportional and solve for x

1.2 : 13.45 = 1.35 : x

⇒ 1.2 / 13.45 = 1.35 / x

Cross multiplication, and we get

⇒ 1.2x  = 1.35 × 13.45

Divided by 1.2 into both sides of the above equation,

⇒ x = (1.35 × 13.45) / 1.2

⇒ x = 15.13

Therefore, the goalpost is 15.13 meters tall.

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