Solve the equation 2x-1=4x+5

Answers

Answer 1

Answer:

-3

Step-by-step explanation:

2x-1=4x+5

-1=2x+5

-6=2x

x=-3

Answer 2

Answer:

x = -3

Step-by-step explanation:

Solve for x:

2 x - 1 = 4 x + 5

Subtract 4 x from both sides:

(2 x - 4 x) - 1 = (4 x - 4 x) + 5

2 x - 4 x = -2 x:

-2 x - 1 = (4 x - 4 x) + 5

4 x - 4 x = 0:

-2 x - 1 = 5

Add 1 to both sides:

(1 - 1) - 2 x = 1 + 5

1 - 1 = 0:

-2 x = 5 + 1

5 + 1 = 6:

-2 x = 6

Divide both sides of -2 x = 6 by -2:

(-2 x)/(-2) = 6/(-2)

(-2)/(-2) = 1:

x = 6/(-2)

The gcd of 6 and -2 is 2, so 6/(-2) = (2×3)/(2 (-1)) = 2/2×3/(-1) = 3/(-1):

x = 3/(-1)

Multiply numerator and denominator of 3/(-1) by -1:

Answer: x = -3


Related Questions

Which equation matches the graph?

A. 2x + 6y= -8
B. -2x +6y=-8
C. 3x + 4y=-12
D. 4x + 3y= -24​

Answers

The equation that matches the graph is the second one !

Angela travels to a friend's house, which is 4 miles east and
8 miles north of her house. Will Angela have cell phone
service at her friend's house?

Answers

Answer:

Depends?

Step-by-step explanation:

She lives 8.9 miles away from her friend if she were to go at a diagonal (the fastest way to her house). If her cell service can go farther than that, then she will have service and vice versa

Answer:

A.

Step-by-step explanation:

Just did the quiz

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

The degree of polynomial is 3

Answer: It's a THIRD degree polynomial.

Step-by-step explanation:

How many centimeters are there in 740.2
millimeters?

Answers

Answer:

74.02

Step-by-step explanation:

divide by 10

Answer:

74.02 Centimeters

Step-by-step explanation:

1 centimeter = 10 millimeters

74.02 centimeters = 740.2 millimeters

Solve for a side in right triangles

Answers

Answer:

? = 7.45

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent side/ hypotenuse

cos 20 = 7 / ?

Multiply each side by ?

? cos 20 = 7

Divide each side by cos 20

? = 7/ cos 20

? =7.449244407

To the nearest hundredth

? = 7.45

Answer:

7.45 units

Step-by-step explanation:

[tex]\cos 20\degree = \frac{BC}{AB}\\\\0.939692620 = \frac{7}{AB}\\\\AB = \frac{7}{0.939692620}\\AB = 7.4492\\AB = 7.45 units[/tex]

What is the value of log625 5?

Answers

Answer:

1/4

Step-by-step explanation:

625^(1/4) = 5

Answer:

1/4

Step-by-step explanation:

log625 5= log 5/ log 625 = log 5 / log 5^4 / = log 5 /4 log 5= 1/4

For g(x)=7x, describe the value of x when g(x)>28. When g(x) >28, x > (solve for this!)

Answers

Answer:

Since g(x) = 7x, we can substitute that into g(x) > which gives us 7x > 28. This simplifies to x > 4.

Answer:

x > 4

Step-by-step explanation:

g(x)=7x

g(x) >28

Replace g(x) with 7x

7x > 28

Divide by 7

7x/7 > 28/7

x > 4

From a log 11 m long, two pieces of length 23/5 m and 33/10
m are cut off. What is the length of the remaining log?

Answers

Answer:

31/10 or 3 1/10

Step-by-step explanation:

11 - 23/5 - 33/10

Find the slope of the following graph and write your result in the empty box.

Answers

Answer:

WERES THE GRAPH

Step-by-step explanation:

350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how man teenagers should be be in the sample

Answers

Answer:

10 teenagers

Step-by-step explanation:

using the formula i took the sample size of 30, then added all of the cumulative frequency to get to 650

no of teenagers = 10

What is the equivalent exponential expression for the radical expression
below?
8 squared

Answers

Answer:

64

Step-by-step explanation:

=> 8²

=> 8 × 8

=> 64

How many numbers are in the list 1,4,7 .......... 2005, 2008 URGENT! [If you answer correctly, I will mark you brainliest]

Answers

Answer:

669.333333333

Step-by-step explanation:

divide 2008 by 3

Answer:

670

Step-by-step explanation:

Adding 2 to each member of the list, we get, and then dividing each member of the list by 3, we get: [tex]$$3, 6, 9, \ldots, 2007, 2010$$[/tex], [tex]$$1,2,3,\ldots,669,670.$$[/tex]

So there are [tex]$\boxed{670}$[/tex] numbers.

Hope this helped! :)

hey there,
given that √7569= 87,then the value of √7569 + √75.69 is ________

Answers

Answer:

95.7

Step-by-step explanation:

Given that [tex]\sqrt{7569}=87[/tex] we're in search for the value of  [tex]\sqrt{7569} +\sqrt{75.69}[/tex].

Simplify the square roots.

[tex]\sqrt{7569} +\sqrt{75.69}[/tex]

[tex]87 + 8.7[/tex]

Now when we add we get 95.7 or 96 rounded to the nearest tenth.

Evaluate using Distributive property: [(-2/7)× (−4/9)] + [(-
3/5)× (−4/9)]

Answers

Answer:

Step-by-step explanation:

[8/63] + [ 4/15 ]

= (120 + 652)/945

= 0.82

5.) In 2012 the cost of a ticket to an arts
festival was $30.This was 20% more
than the ticket cost in 2011.
Calculate the cost of the ticket in 2011.

Answers

9514 1404 393

Answer:

  $25

Step-by-step explanation:

If c is the 2011 cost, then we are told ...

  30 = c + 20%×c

  30 = 1.2c . . . . . . simplify

  30/1.2 = c = 25 . . . . . divide by the coefficient of c

The 2011 cost was $25.

What are the domain and range of the function f(x)=-x+3 - 2?

Answers

Answer:

Domain

R (all real numbers)

Range

R (all real numbers)

Step-by-step explanation:

A triangle on a coordinate plane is translated according to the rule T 3.5(x, y). Which is another way to write this rule?
:
(x,y) - (x-3, y + 5)
(x,y) - (x-3, y-5)
(x, y) - (x + 3, y-5)
(x, y) = (x + 3, y + 5)
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

(x, y) → (x + 3, y + 5)

Step-by-step explanation:

when I triple a number and add 20 i will get the same answer as i do when i subtract the number from 40 find the number​

Answers

[tex]answer = - 30 \\ let \: the \: number \: be \: x \\ 3x + 20 = x - 40 \\ or \: 3x - x = - 40 - 20 \\ or \: 2x = - 60 \\ or \: x = \frac{ - 60}{2} \\ x = - 30 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Please answer this question !! 20 points and brainliest !!

Answers

Answer: b.2x

Step-by-step explanation:

why? because 2 can be divided into all of the numbers evenly!

all the numbers have (x)

it wouldn't be (2x^2) ,because one of the numbers have x^3

Answer:

2x^2

Step-by-step explanation:

You find what the highest number they all have in common in this case 2 then if they all have x or y in common they have x^2 in common then add the two together making 2x^2

In 2005, the population of a town was 17,500. Suppose the population grows exponentially at a rate of 3% per year. Write an equation to model this situation, let x represent the number of years since 2005.

Answers

Answer:

The expression is:  [tex]p(x) = 17500*(1.03)^x[/tex]

Step-by-step explanation:

Since we're starting our count in 2005, then let's call that year 0 and every year after that will be 2005 + x, where t grows from 0 as an integer.

In 2005 the population is:

[tex]p(0) = 17500[/tex]

In 2006 the population is:

[tex]p(1) = 17500*(1 + \frac{3}{100}) = 17500*(1.03)[/tex]

In 2007 the population is:

[tex]p(2) = p(1)*(1.03) = 17500*(1.03)*(1.03) = 17500*(1.03)^2[/tex]

In 2008 the population is:

[tex]p(3) = p(2)*(1.03) = 17500*(1.03)^2*(1.03) = 17500*(1.03)^3[/tex]

We can notice a pattern that the population pf the city is equal to the number of the starting population multiplied by the rate of change powered by the number of years after 2005. Therefore a generic expression for the population of that town can be written as:

[tex]p(x) = 17500*(1.03)^x[/tex]

Answer:

This situation represents exponential growth

The rate of growth or decay, r, is equal to 0.10

So each year the number of residents in the town is 1.10 times the number in the previous year.

There were around 14,641 residents in the town 4 years after 2005.

Step-by-step explanation:

Since the number of residents increases by a constant percentage each year, this situation represents exponential growth.

The number of residents increases by 10% per year. So the rate of growth, r, is 10%, or 0.1.

Use the equation  to find b, the growth factor by which the population increases each year.

So the population increases by a factor of 1.1 each year. This growth factor means that the number of residents in the town in any year is 1.1 times the number in the previous year.

Write the exponential expression to model the town’s growth by substituting 10,000 for A and 1.1 for b in the general form of the exponential expression.

Set this expression equal to 14,641, and isolate the exponential term.

Use a table of values to rewrite 1.4641 as a value with a base of 1.1.

So there were around 14,641 residents in the town 4 years after 2005.

Solve this system below by elimination. -x-2y=-9 2x+2y=9

Answers

The correct answer is
X=3, y=0

Alexa wrote down a decimal number that is greater than 2.4 but less than 2.8. Select two numbers that Alexa could have written down. * 1 point 2.50 2.41 2.39 2.40 2.08

Answers

Answer:

2.41 and 2.50

Step-by-step explanation:

Here, we shall be selecting the correct answer from the option.

a. A is correct

the number we want is between 2.4 and 2.8

2.5 is greater than 2.4 but less than 2.5, this means it meets our criteria

b. 2.41 is also correct

This is because it is greater than 2.4 but less then 2.8

c. wrong

2.4 is same as 2.4, it does not meet the criterion

d. wrong

the value is far lesser than 2.4

Find the quadractic function to model the values in the table.

Answers

Answer: y=3x^2+3x-3

(the first option)

Answer:

3y²+3x-3

Step-by-step explanation:

the first choice

5w=-2x+ 3/4 y+z for z

Answers

Answer:

z= 5w+2x -3/4 y

Step-by-step explanation:

add 2x to both sides and subtract 3/4 y.

What are the slope and y-intercept of the linear equation?

Answers

Slope is 2/3. Y intercept (0,-1) I believe

The original price of a game system was reduced by $99.

If p= the game system’s original price in dollars, which algebraic expression represents the reduced price.

Answers

Answer:

P-99 as you would subtract 99 from original

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I am thinking of 3 consecutive numbers less than 100.The first number has 5 as one of its factors, the second number has 1 as its factors and the last number has 2 a one of its factors

Answers

Answer:

10, 11 and 12.

Step-by-step explanation:

A number has 5 as one of its factors, when last digit is 5 or 0. Only prime numbers have 1 as the only factor and a number has 2 as one of its factors when last digit is 2, 4, 6, 8 or 0.

Three possible consecutive numbers are 10, 11 and 12. 10 is the product of 2 and 5, 11 is a prime number and 12 is the product of 3 and 2². Therefore, possible choice is 10, 11 and 12.

Which is the better buy?
8-kilogram bag of rice for $26.04
9-kilogram bag of rice for $29.15

Answers

Answer:  9-kilogram bag of rice for $29.15

=============================================================

Explanation:

Calculate the unit rate for the first bag

8 kg = 26.04 dollars

8/8 kg = 26.04/8 dollars ... divide both sides by 8

1 kg = 3.255 dollars

1 kg = 3.26 dollars  .... rounding to nearest cent

For the first bag, the unit rate is about 3.26 dollars per kg

---------------

Repeat for the second bag

9 kg = 29.15 dollars

9/9 kg = 29.15/9 dollars ........ divide both sides by 9

1 kg = 3.23888888888889 dollars (approx)

1 kg = 3.24 dollars  .... rounding to nearest cent

The unit rate for the second bag is roughly 3.24 dollars per kg

We see that the second bag's unit rate is cheaper by 2 cents, so it is the better deal. This is despite the fact that the entire bag costs more.

Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.

What were Phil's net winnings from the tournament?

Answers

Answer:

$(x-100)

Step-by-step explanation:

Phil entered the poker tournament with $100.He received a price of $x.

His net winnings from the tournament will be the price minus the entry fee.

Therefore:

Phil's net winnings=$(x-100)

Answer:

x - 100

Step-by-step explanation:

Since it costs 100 dollars for Phil to enter the competition, you subtract that from the prize in which he earns (x).

Micah went to the grocery store the other day and there were no price tags on anything! She bought 3 loaves of bread and 1 milk jug and when the cashier scanned it, the total was $9. Then she saw the person behind her bought 1 loaf of bread and 2 milk jugs. His total was $5.50. Micah walked out wondering: how much does one loaf of bread cost?

Answers

Answer:

$2.75

Step-by-step explanation:

We know that the random persons total was $5.50. To figure out how much one loaf of bread costs we must first, divide $5.50 by 2. We get 2.75. Then, to double check our answer we multiply that by 3 to get 8.25. We know that Micah' s total was $9.00. 9 minus 8.25 equals 0.75.

That price is very reasonable, for a jug of milk, so we know that $2.75 is the answer.

Hope this helped :)

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