Solve for the following equation
1/2(2 – 4x) + 2x = 13

Answers

Answer 1

Answer:

no solution

Step-by-step explanation:

1/2(2-4x)+2x=13

We simplify the equation to the form, which is simple to understand

1/2(2-4x)+2x=13

Simplifying:

+ 0.5*(2-4x)+2x=13

Reorder the terms in parentheses

+(+1-2x)+2x=13

Remove unnecessary parentheses

+1-2x+2x=+13

We move all terms containing x to the left and all other terms to the right.

-2x+2x=+13-1

We simplify left and right side of the equation.

0x=+12

0=12

The left and right sides are not equal, therefore there is no solution. This equation is invalid.


Related Questions

what are the solutions of x2-4x+5=0
please help!!

Answers

Answer:

The solutions to the quadratic equation are:

[tex]x=i+2,\:x=-i+2[/tex]

Step-by-step explanation:

Given the equation

[tex]x^2-4x+5=0[/tex]

solving the equation

[tex]x^2-4x+5=0[/tex]

subtract 5 from both sides

[tex]x^2-4x+5-5=0-5[/tex]

[tex]x^2-4x=-5[/tex]

[tex]\mathrm{Add\:}\left(-2\right)^2\mathrm{\:to\:both\:sides}[/tex]

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

[tex]\left(x-2\right)^2=-1[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-2=\sqrt{-1}[/tex]

As the imaginary rule is given by

[tex]\:\sqrt{-1}=i[/tex]

so

[tex]x-2=i[/tex]

[tex]x=i+2[/tex]

solving

[tex]x-2=-\sqrt{-1}[/tex]

[tex]x-2=-i[/tex]      ∵ [tex]\:\sqrt{-1}=i[/tex]

[tex]x=-i+2[/tex]

Therefore, the solutions to the quadratic equation are:

[tex]x=i+2,\:x=-i+2[/tex]

What is the length of the radius of a circle with center (10, -14) that is tangent to the line
x=13?

Answers

Answer:

length of radius of a circle = 3

Step-by-step explanation:

a tangent line touches the circle at one point

if the tangent line is at x=13 (vertical line) and the center of the circle is

(x,y) = (10,-14) with its center x at 10; then take the difference to find the radius;

x(tangent line) - x(center of circle) = radius of circle

length of radius of a circle = 13-10 = 3

you can also graph the circle and draw the tangent line to find the radius

The length of the radius of a circle as described in the question is; 14.32

The center of the circle is at; (10, -14)

The line that is tangent to the circle is; x = 13.

The coordinate of a point on the line is therefore; (13, 0)

The length of the radius of the circle can.be obtained from Pythagoras theorem as;

(Radius)² = (13-10)² + (-14-0)²

(Radius)² = (3)² + (-14)²

(Radius)² = 9 + 196

Radius = √205

Radius = 14.32

Read more:

https://brainly.com/question/10443107

6,857 my lessons my stuf The Pythagorean Theorem What is the distance between the points (22,21) and (26,24)?​

Answers

Answer:

the distant between 20,21 is 1. and the distant between 26,24 is 2.

Step-by-step explanation:

1. 21-20=1

2. 26-24=2

hope this helps

Roberto has run the first 16 miles of a race, which means he is 72% finished. How long is the race?

Answers

Answer:

approximately 22.2 miles

Step-by-step explanation:

16mi/72% =xmi/100%

72x=1600

x=22.2222222.....

Answer: 22.2 miles

Step-by-step explanation:

A rose bush of height `h` is planted at an initial height of 3 feet. The bush is expected to grow an average of 0.5 feet per year. How tall will the bush be 3 years after planting? Show the work that leads to your answer (either in the text box below or on the white board to the right).

Answers

Answer:

The height is 4.5ft

Step-by-step explanation:

Given

[tex]Initial\ Height = 3\ ft[/tex]

[tex]Growth = 0.5\ ft[/tex] yearly

Required

Determine the height in 3 years

First, we need to determine the growth equation.

Represent the height with h and the years with x

So:

[tex]y = Initial\ Height + Growth * x[/tex]

[tex]y = 3 + 0.5 * x[/tex]

[tex]y = 3 + 0.5x[/tex]

To solve the required, we have that:

[tex]x = 3[/tex]

[tex]y = 3 + 0.5x[/tex] becomes

[tex]y = 3 + 0.5 *3[/tex]

[tex]y = 3 + 1.5[/tex]

[tex]y = 4.5[/tex]

Hence, the height is 4.5ft

A store offers four different brands of product. It decides to eliminate the brand most that is likely to be returned. Which brand should the store eliminate?

Answers

Step-by-step explanation:

Do (returns : Total sold) x 100%. And do this for every brand, the brand with the highest percentage has to go

Answer:

Brand D

Step-by-step explanation:

Using this

(returns/total sold) x 100%. The brand with the highest decimal will be brand D

(22/457)x100 = 4.8

(10/328)x100 =3

(21/511)x100 = 4.1

(19/241)x100 = 7.8

You kinda remind me of Joe...

Answers

Answer:

nice

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

Need help fast please !!!!

Will mark as brainliest!!!!

Answers

Answer:

84 I think

Step-by-step explanation:

I I went down like a math rabbit hole I can't explain it

Answer:

VY = 84

Step-by-step explanation:

It says that S is the circumcenter of XYZ, this means that S is equidistant from the 3 vertices.

Hence,  XS = YS = ZS = 116

What is the slope of the line that contains the points (-2, 2) and (3, 4)?
A.
O B. -
O c.
OD.

Answers

Answer:  m = 2/5

Step-by-step explanation:

The formula for the slope is m = rise over run = y^2 - y^1 / x^2 - x^2

which makes it 4-2 over 3-(-2) which equals 2/5

Youre answer is 2/5

Answer:

The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.

Step-by-step explanation:

The slope of a line is denoted by m and is calculated using the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here

[tex](x_1,y_1)[/tex] are the coordinates of the first point on line and

[tex](x_2,y_2)[/tex] are the coordinates of the second point on line

Given two points are:

(x1,y1) = (-2, 2)

(x2,y2) =(3, 4)

Putting the values in the formula

[tex]m = \frac{4-2}{3-(-2)}\\m = \frac{2}{3+2}\\m=\frac{2}{5}[/tex]

Hence,

The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.

Which equation can be used to find 40 percent of 25?
25+ 1 25
401 40
100x4 400
40x4 16
40x4 180
25%4 100
404
100_4 25

Answers

Answer:

Yo tengo 10 años y eso da 1,190

Step-by-step explanation:

would you rather freeze in the cold or burn in the hot

Answers

freeze in cold

haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

tough question... freeze to death.. here the reason

as you start to freeze you would start to lose the feeling of your fingers and toes, which would be much better than being burnt to death.. and also i think at a certin amount of time you could get knocked out soo yep wayyy better than being alive while your getting roasted like a marshmallow

A baseball team had $250 to spend on supplies. The team spent $46.25 on a new bat. New baseballs cost $2 each. The inequality46.25+2b≤250 can be used to determine the number of new baseballs, b, that the team can purchase.

Answers

Answer: 101

[tex]\leq 46,25+2b\leq 250\\\\=> 2b\leq 250-46,25=203,75\\\\<=> b\leq 203,75/2=101,876[/tex]

but b is the number of new baseballs

=> [tex]b\leq 101[/tex]

=> the team can purchase 101 baseballs

Step-by-step explanation:

Can somebody help me with this

Answers

the answer is 1 3/10

Which of the following steps will speed up the reaction between a baking soda solution and a calcium chloride solution in a beaker?

Keep the beaker in a freezer.
Keep the beaker in sunlight.
Pour the solutions into a flat dish.
Pour the solutions into a narrow test tube.

Answers

im not too sure about this so take my answer lightly but i think it is put the beaker in sunlight

Answer: Indeed It is b

Step-by-step explanation:

To factor 9x^2- 4, you can first rewrite the expression as:
O A. (3x-2)^2
O B. (x)^2-(2)^2
C. (3x)^2-(2)^2
D. None of the above

Answers

Answer:

D

[tex](3x - 2)(3x + 2) \\ [/tex]

NEED HELP PLEASE!!! Lionel created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Lionel drew?

Answers

Answer: A.

Y=-2x+16

Step-by-step explanation:

You gotta find the pretty points on the line of the linear function. Then you have to find the slope (rise over run) with those pretty points. Then you have to use a coordinate (I used 6,4) to find the y intercept. Then you solve the equation, by plugging in all the numbers :) hope this helps.

first correct answer will get brainliest
Solve: 3(5-2 ) +I-5I = ?


7

15

4

14

Answers

Answer:

14

Step-by-step explanation:

when you multiply and do the absolute value thats what you get

Rhombus EFGH is rotated 90 degrees counterclockwise about vertex G. How many pairs of parallel sides does the rotated figure have?

Please explain your answer.... Thank you!

A) 0

B) 1

C)2

D) 4

Answers

Answer:

try your self more and more times you can easily solve

Elijah needs to lease out a music studio to record his new album the studio charges and initial studio-use fee plus an hourly fee for each hours in the studio let P represent the total amount of money Elijah would have to pay to use the studio four t hours A graph of P is shown below write an equation for P then state the Y intercept of the graph and determine its interpretation in the context of the problem

Answers

Answer:

100+50t

Step-by-step explanation:

Answer:

P = 100+50t

The y-intercept of the function is 100 which represents the initial fee of using the studio.

Mr. Morgan invested $20,000 in an account earning 4.5% annual interest. How many years would it take for him to earn 5400 in a simple interest

Answers

6 years
£20,000 x 0.045 = £900
£5,400 / £900 = 6 years

The table represents some points of a linear function.


Which function represents the same relationship?

A. h(x) = -3x - 10.5
B. h(x) = -x - 3.5
C. h(x) = 3x - 10.5
D. h(x) = x - 3.5​

Answers

I believe it’s C, but plz correct me if I’m wrong!

The linear function will be represented as h(x) = -3x - 10.5. The correct option is A.

What is a linear function?

The terms "linear function" in mathematics refer to two different but related ideas: A linear function is a function with a graph that is a straight line in calculus and related fields.

The given data in the table is:-

X   -7.5     -3.5      -1         2

Y    12         0       -7.5    -16.5

The linear function can be written as:-

y = mx + c

m = ( 0 - 12 ) / ( -3.5 + 7.5 )

m = -12 / 4

m = -3

The y-intercept will be:-

y = mx + c

0 = ( -3 x -3.5 ) +c

c = -10.5

The linear function is:-

h(x) = -3x - 10.5

To know more about linear functions follow

https://brainly.com/question/15602982

#SPJ2

What is the slope of the line below?

Answers

Answer:

The answer is the green answer choice which is 5/7.

Step-by-step explanation:

What’s the area for this shape??????

Answers

Answer:

40cm²

Step-by-step explanation:

The formula of a trapezium is: A=1/2(a+b)h

The values are: a=6, b=10 and h=5

Therefore, to calculate the area: A=1/2(6+10)5

Hence, the area of the trapezium is A=40cm²

5. Choose the equation of a line that is perpendicular to the given line and that passes through the given
point.


4x - 12y = 2; (10,-1)

A.) y=3x + 29
B.) y=--x+29
3
C.) y=-3x + 29
D.) y=--x+7

Answers

Answer:

Step-by-step explanation:oh

Answer: C) -3x + 29. Explanation: First, you want to start by putting the given equation in point-slope form. Point slope form: y = mx + b. The equation: y = 1/3x - 1/6. From this, you know that the slope is 1/3. You need to find a line perpendicular to the equation, so find the opposite-reciprocal slope. Flip the slope fraction and make it negative: -3/1. Plug the point into an equation with this slope to find the y-intercept. -1 = -3(10) + b ; 29 = b. Plug the y-intercept, as well as the slope, back into the equation to get your answer: y = -3x + 29.

A total of 625 tickets were sold for the school play. They were either adult tickets or student tickets. There were 75 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

75 less student tickets than adult tickets. The total is 625 tickets. So the student and adult tickets have to equal 625 when added.

Step-by-step explanation:

Student tickets: 275

Adult tickets: 350

350 adult tickets were sold

Carmen opened a bank account with
$450. Each week she deposits $60.
Write an equation to represent this situation.
60x+y=450
y=-60x+450
Oy=60x+450
y=450x+60

Answers

Y=60x+450 will be the answer

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)? (5 points) a y = −3x − 2 b y = −3x + 2 c y = 3x + 2 d y = 3x − 2

Answers

Answer:

d

Step-by-step explanation:

33 1/3% of what number is 32?

Answers

Answer:

96

Step-by-step explanation:32 divided by 0.3333 = 96

Answer:

96.096096096... (recurring)

Step-by-step explanation:

33 1/3% = 32

1% = 32/33.3

100% = 32/33.3x100

= 96.096096096... (recurring)

A number is divisible by 11 if the difference of the
sums of the alternate digits is either 0 or divisible
by 11.​

Answers

Answer:

★ A number is divisible by 11 if the sum of the digits in the odd places and the sum of the digits in the even places difference is a multiple of 11 or zero.

Step-by-step explanation:

Hope you have a great day ;-)

Answer:

the answer is 4 odd

Step-by-step explanation:

I think

Which statement describes the​ y-intercept of the graph of a proportional​ relationship?
Choose the correct answer below.
A.
The line intersects the​ y-axis of the graph above the origin.
B.
The line intersects the​ y-axis of the graph at the origin.
C.
It is greater than the​ x-intercept of the line.
D.
It is equal to the​ x-intercept of the line.

Answers

Answer:

B i worked out all of them and only b can fit

The line intersects the​ y-axis of the graph at the origin. The correct option is B.

What is a Proportional Relationship?

A proportional Relationship is when a variable is in direct variation to another variable such that on increasing one the other proportionally increases.

The equation for a proportional relationship is

y ∝  x

y =kx

where k is the proportionality constant

The equation of a straight line is y = mx +c

here c is the intercept on the y-axis

Comparing the two equations, this can be confirmed that

c = 0

Therefore, the line intersects the​ y-axis of the graph at the origin.

The correct option is B.

To know more about Proportional Relationship

https://brainly.com/question/12917806

#SPJ2