Given that
X2: (20 – 3x) = 1 : 2
find the possible values of x.​

Answers

Answer 1

Answer:

Step-by-step explanation: x^2 : (20 - 3x) = 1 : 2

2x^2 + 3x - 20 = 0

(x + 4)(2x - 5) = 0

Solution:

x = -4

x = 5/2

Answer 2

Answer:

x= 2.5

x= 2.5x = - 4

Step-by-step explanation:

1:2

x² : (20 - 3x)

x2 : x 1

2x² : 1(20-3x)

2x² : 20 - 3x

+3x , then - 20

2x² + 3x - 20 = 0

2 x - 20 = - 40

x to get - 40

+ to get 3

(8 x - 5 = -40 & 8 + - 5 = 3)

Split 3x into 8x & - 5x, then factorise:

2x^2 + 3x - 20 = 0

2x^2 + 8x - 5x - 20 = 0

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

(2x-5) (x+4) =0

2x - 5 = 0

+5

2x = 5

÷2

x = 2.5

x+4=0

-4

x = - 4

x=2.5,-4

Hope this helps!


Related Questions

Javier researched how much his baseball team made in concession stand sales during the last 6 games.
$84, $70, $82, $28, $72, $84
Part A:
Calculate the measure of center--the median and the mean of the data Javier gathered.
Part B:
Using the calculations you made in Part A, explain which measure would be more representative of Javier's data.
B
The calculations you make in Part A ,  which measure would be more Representative of Javier's data

Answers

a day before I got back in my room I had my phone on the

The total area of a rectangular shaped playground is 24 1/2 squared meters. If the width of the playground is 3 1/2 meters, which of the following is the length of the playground?
a. 7m
b. 28m
c. 85.75m
d. 0.7m

Answers

Answer:

a

Step-by-step explanation:

Which expression is equivalent to 2w?

Answers

Answer:

w + w

Step-by-step explanation:

w + w   * 1 is the coefficent of w *

1w + 1w

(1+1) w

2w

Answer:

w+w

Step-by-step explanation:

pls help asap will make brainliest

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,

I’ll give brainiest!
What is the length of BD?
Round to one decimal place.
С
3.4
6.5
D
?
8
0 0
A
4.9
B

Answers

Answer:

[tex] BD \approx 2.6[/tex]

Step-by-step explanation:

By angle bisector theorem:

[tex] \frac{3.4}{BD} = \frac{6.5}{4.9} \\ \\ BD = \frac{3.4 \times 4.9}{6.5} \\ \\ BD = \frac{16.66}{6.5} \\ \\ BD = 2.56307692 \\ \\ BD \approx 2.6[/tex]

3 3
Insert three rational and three irrationall
no. between 150 and
and 0
160​

Answers

Answer:

Step-by-step explanation:

Rational numbers:

(150+160)/2 = 310/2 = 155

(150+155)/2 = 305/2= 152.5

(155 +160)/2 = 315/2= 157.5

155, 152.5 , 157.5 are rational numbers between 150 and 160

Irrational numbers:

Irrational numbers are numbers that are non terminating and non repeating numbers

155.502003000.....

155.202002000......

156.3120578.......

Answer:

Required Answer :-

1st rational number

= a + b/2

= 150 + 160/2

= 310/2 (1)

2nd rational number

Middle term of 150 and 160 is 155

= 150 + 155/2

= 305/2

3rd rational number

= 160 + 155/2

= 315/2

[tex] \\ [/tex]

Roger has two dogs which are named Sparky and Cookie. The relationship of Sparky’s age, s, and Cookie’s age, c, can be represented by the equation shown below. s = c + 4 *

Answers

Answer:

sparky is 4 years older than cookie

__________________________

hope this helps, I wasn't entirely certain what the question was.

Line BC is tangent to the circle centered at A. Find the measure of angle BCA. Explain or show your reasoning.

Answers

Answer:

[tex] m\angle BCA= 33\degree[/tex]

Step-by-step explanation:

[tex] In\: \odot A[/tex] BC is tangent to the circle at point B.

Therefore, by tangent-radius theorem:

[tex] \therefore AB\perp BC[/tex]

[tex] \therefore \angle ABC = 90\degree [/tex]

[tex] In\: \triangle ABC, [/tex]

[tex] m\angle ABC +m\angle BAC +m\angle BCA= 180\degree [/tex]

[tex] 90\degree+57\degree +m\angle BCA= 180\degree [/tex]

[tex] 147\degree +m\angle BCA= 180\degree [/tex]

[tex] m\angle BCA= 180\degree - 147\degree[/tex]

[tex] m\angle BCA= 33\degree[/tex]

Please answer!! No links!! Thx :D

Answers

Answer:

60 seconds

Step-by-step explanation:

The y-intercept is 60

How to simpfly fractions?
-Step by step
-Answer 15/36

Answers

Answer:

5/12

Step-by-step explanation:

15÷3/36 ÷3

the answer is 5/12

Answer:

5/12

Step-by-step explanation:

15/36 ÷ 3

5/12

mark mope brainliest

How many negative numbers are in the expression in part H? What will the sign of the solution be? How do you know

Answers

Answer:

When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.

Step-by-step explanation:

Answer:

There is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.

Step-by-step explanation:

the correct answer

I need help what is d/7 > 15???

Answers

Answer:

d>107

Step-by-step explanation:

I am sorry if you got this wrong..

99 newspapers in 3 piles

Answers

Answer:

33 newspapers per 1 pile.

Step-by-step explanation:

33+33+33=99

Answer:

there would be 33 news papers in each pile

Step-by-step explanation:

when you divide 99 from 3 you will get 33 so you would have 33 in each pile hope this helps.

Select all that are equivalent to the expression x^-1/3

Answers

Answer:

1/∛x

Step-by-step explanation

Based on the therem of power of exponents;

a^-m = 1/a^m

Given the expression

x^-1/3

On comparison, you ca see that;

a = x

m = 1/3

Substitute into the general formula;

x^-1/3 = 1/a^1/3

Also, [tex]a^{\frac{1}{x} } = \sqrt[x]{a}[/tex]

Hence;

[tex]\frac{1}{x^{\frac{1}{3} } } = \frac{1}{\sqrt[3]{x} }[/tex]

This that the required expression is 1/∛x

What is easier math or reading? Explain why.




Also be serious when answering

Answers

Answer:

That is an opinion. Some find math easier and some find reading easier. There is no right or wrong answer to that.

Step-by-step explanation:

Answer:

reading  is easier  than math because math has to do with numbers and there are so many diffrent ways to do math and so may diffrent formals to us for math  there for reading is easier than math

Step-by-step explanation:

In the given ∆ABC, DE || BC. What is the value of x?
A)12 in.
B)16 in.
C)20 in.
D)30 in.​

Answers

Answer:

I think B is the correct answer, sorry im not very good with math tho.

Step-by-step explanation:

Sorry if its incorrect

write a quadratic function in the given form whose graph satisfies the given condition.
passes through (-4, 0), (2, 0), & (6, -20) in intercept form.
pls dont just steal points away...i rly need help with this...can you provide work to if not thats ok

Answers

Answer:

[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]

Step-by-step explanation:

We want to find a quadratic that passes through the points:

[tex](-4, 0), \, (2, 0), \text{ and } (6, -20)[/tex]

In intercept form.

First, note that the first two given points are the x-intercepts of our quadratic. Intercept or factored form is given by:

[tex]y=a(x-p)(x-q)[/tex]

Where p and q are the x-intercepts, and a is the leading coefficient.

So, we will substitute -4 and 2 for p and q:

[tex]y=a(x-(-4))(x-(2))[/tex]

Simplify:

[tex]y=a(x+4)(x-2)[/tex]

Next, the third point (6, -20) tells us that y = -20 when x = 6. So:

[tex](-20)=a(6+4)(6-2)[/tex]

Solve for a:

[tex]-20=10(4)a\Rightarrow 40a=-20[/tex]

Thus:

[tex]\displaystyle a=\frac{-20}{40}=-\frac{1}{2}[/tex]

Hence, our equation in intercept from is:

[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]

Which equation describes a line that passes through the point (-6, 2) and is parallel to
the line represented by 2y - 4x = 10?
Anyone know??

Answers

Answer:

y = 2x +14

Step-by-step explanation:

2y - 4x = 10

=> 2y = 4x + 10

=> y = 2x + 5

          ↑ the slope of this equation

parallel lines have the same slope, thus, the equation in the 4 options must have the same slope: 2.

plug in point (-6, 2) & the slope "2" into the equation: y = ax + b   to find "b."

=> 2 = -6(2) + b

=> b = 14

plug in the slope "2" and the y-intercept(or b) "14" into the equation: y = ax + b

=> y = 2x +14

Jaylah has two packages of trail mix. The first package weighs 2.40 pounds and the second package weighs 3.25 pounds. She mixes the two packages together and forms smaller bags amounts that weigh 0.25. What is the greatest number of 0.25 bags Jaylah can make using the trail mix she has?

Answers

She can make up to 22 bags because you have to add 2.40 and 3.25 together to get 5.65 then divide by .25 to get 22.6 she can make a total of 22 with .6 left over

help asap plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

75 divided by 15 = 5 undershirts.

Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help. Help me please

Answers

Answer:

12,300

Step-by-step explanation:

I'll right this as a function to make it easier on me.

f(x) = 7500(1 + 0.8)^x

f(2) = 7500(1 + 0.8)^2

f(2) = 7500(1 + 0.64)

f(2) = 7500(1.64)

f(2) = 12300

Answer:

$8700

Step-by-step explanation:

0.08 x 2 yrs = 0.16

7500 x 0.16 =1200

7500 + 1200 = 8700

Item costing $16 is sold for $27.50 what's the markup? Whats the% of markup on cost and selling price?

Answers

Answer:

The market up is 11.5$.......

Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x? x = 8 x = 10 x = 13 x = 18

Answers

Answer:

x = 10

Step-by-step explanation:

Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?

The sum of the exterior angles of a decagon = 360°

Decagon = 10 sides

Each angle in a decagon = 360/10

= 36°

We are told that:

Each exterior angle of a regular decagon has a measure of (3x + 6)°.

Hence,

(3x + 6)° = 36°

Collect like terms

3x = 36 - 6

3x = 30

x = 30/3

x = 10

Answer: The person above me is correct! It is B. X=10 I got a 100% on the test! Edge2021

Step-by-step explanation:

Find the length of the arc. Round your answers to the nearest tenth.

Answers

Answer:

89.5 cm

Step-by-step explanation:

circumference of full circle = π2r = 3.14 x 2 x 19 = 119.32 cm

(270/360)(119.32) = 89.5 cm

Complete the table and graph the solutions of the the equation is y = 2x + 1

Answers

For the table -1, 1, 3, 5 and for the graph look at the photo hope this helps!!!!

Find the cost of tiling the floor of a room which is 250m long and 100m wide at the rate of Tk.
80 per m2.

Answers

Answer:

2000000Taka.

Step-by-step explanation:

Area of the room= 250x100

=25000m²

Each m²= Tk 80

so, 25000x80

=2000000 Taka.

plz mark me as brainliest !

At sunrise the temperature was -12 C. By sunset the temperature had increased 5 degrees. What is the temperature at sunset? *At sunset the temperature was 19 C. By sunrise the temperature had decreased 4 degrees. What is the temperature at sunrise?

Answers

Answer:

-17°C at sunset

15°C at sunrise

1 What is the solution to the system of equations? (2 Points) x + y = 8 and - x + 3y = 4 O a. (-2, 10) O b. (10,-2) c. (3,5) O d. (53)​

Answers

Answer:

(5 , 3)

Step-by-step explanation:

x + y = 8 ----------------(I)

-x + 3y = 4 ----------(II)

Add equation (I) and (II) and so x will be eliminated and we can find the value of y

(I)      x + y    = 8

(II)   -x   + 3y = 4  

             4y = 12  {Divide both sides by 4}

y = 12/4

y = 3

Plugin y = 3 inn equation (I)

x + 3 = 8 {Subtract 3 from both sides}

     x = 8 -3

x = 5

What is the measurement in the diagram?

Answers

9514 1404 393

Answer:

  (a)  132

Step-by-step explanation:

Exterior angle DBA is the sum of the remote interior angles D and C.

  ∠DBA = 65° +67°

  ∠DBA = 132°

Erica is using the storage container below. What is the volume if the storage container?

Answers

Answer:

7

Step-by-step explanation:

1x2=2x3/1/2= 7

Answer:

7

Step-by-step explanation:

I did the question

Other Questions
A plane flies 450 miles with the wind, and 350 miles against the wind (in the same amount of time). If the wind is blowing at 30 mph, how fast would the plane be going without air helping/hurting? Divide and answer in simplest form 1/2 divider by 4 Question 9 of 24What was the effect of unsafe work conditions and pollution during theIndustrial Revolution?A. Middle- and upper-class people moved out of urban areas, causingthose areas to be dominated by the working class.B. Child labor increased as adults left manufacturing jobs in factoriesin favor of agricultural work.C. Governments established regulations to control workenvironments and limit pollution.D. Concerned citizens began to boycott manufactured goods andreturned to a self-sufficient lifestyle. A scientist was in a submarine, 27.4 feet below sea level, studying ocean life. Over the next ten minutes, she went down 23.8 feet. How many feet was she now below sea level? Describe what you would do if you were with a friend that fell at a skatepark and broke her wrist. particles q1, q2, and q3 are in a straight line. particles q1 = -5.00 x 10^-6 C, q2 = -5.00 x 10^-6 C. .5 between each what is the net force on q3 What is sin49 to the nearst tenth what did churchill believe would be the ultimate outcome of World war 2? Please can someone help me. Its not 26, please find X nvestment advisors at your local bank branch office: a) Are not able to plan strongly diversified portfolios for their customers b) Must be transparent about their rates and services c) Are working solely on behalf of their customers to earn money d) Do not advise their customers on their financial goals Five people eat dinner in a restaurant. Susan has potatoes, salad, chicken, corn, and cheesecake; Tracy has potatoes, salad, chicken, milk, and cheesecake; Robert has steak, potatoes, chicken, corn, and cheesecake; Zach has potatoes, salad, chicken, corn, and cheesecake; and Dave has steak, salad, corn, milk, and cheesecake. Afterward all of them become sick from something they ate. What food caused the sickness? Here is an expression 3.2 evaluate the expression when t is 4 middle school math Write a C++ function with the following signature: void readAndConvert() The function takes no parameters and returns no value. Instead, it reads its input from std::cin and writes its output to std::cout. Both the input and output are information describing a sequence of stock trades, albeit in different formats. Input format The input will be formatted according to the following specification. You may freely assume that the input will be in the format described here; it doesn't matter what your function does with input that doesn't meet those requirements. The first line of the input will contain a positive integer, which will specify the number of trades whose information will be present in the input. The second line of the input will contain the stock's symbol, which is a sequence of uppercase letters. The third line of the input will contain a brief description of the stock, which is any arbitrary sequence of characters. After that will be one line for each trade - so the integer on the first line tells you how many more lines there will be which will contain three pieces of information separated by spaces! A positive integer specifying the number of shares traded. o The price paid for each share, which is a number that will always have exactly two digits after the decimal point. A sequence of lowercase letters that specifies a confirmation number for the trade. One example input that follows that format is as follows, though your function would need to work on any input that follows the specification, not just the one example. BOO Forever Boo Enterprises 100 50.00 barzxfq. 200 60.75 hhpncstvz 150 7.90 cjjm 175 100.15 fryzyt Output format Your function's output is a reorganization of the information from the input, which you would write in the following format. The first line of output would contain the description of the stock, followed by a space, followed by the symbol surrounded by parentheses. Each subsequent line of output describes one of the trades from the input, in the following format: o The confirmation number, followed by a colon and a space, followed by the integer number of dollars spent in the order (i.e., the number of shares times the price per share, always rounding to the floor of the number). The correct output for the example input above is as follows. Forever Boo Enterprises (BOO) barzxfq: 5000 hhpncstvz: 12150 cjjm: 1185 fryzyt: 17526 It is irrelevant whether your program prints all of the output only after reading the input, or whether it prints the output while it reads input; this is your choice. The only requirement is that your output meets the formatting requirements. I WILL MARK BRAINLIEST! NO LINKS OR IMAGES.Conducting a survey best fits which step of the statistical process? Form a question that can be answered by data.Design and implement a plan that collects data.Analyze the data using graphical and numerical methods.Interpret and compare the data. Solve for the following byFACTORING:x2 + 11x + 28 = 0 I am not sure how to solve this. I have tried many times. PLS HELP, WILL GIVE BRAINLIEST!!!A piece of clay with a mass of 350 g is dropped to the floor from a height of 1.5 m (A). Calculate the KE and PE of the clay ata. (A = 1.5 m). b. (B = 70 cm), andc. (C = 0 m, just before hitting the ground). d. Make an energy graph at each point In 1931 the military took control of the Japanese government and was the head Part ABefore you draft and record instructions for the task you chose, use the following graphic organizer togather your thoughts about the instructions.BI y XFont SizesAA.EEWhat instructions will you ask your audience tocomplete?Who is the audience for these instructions?What materials might your audience need to completethese instructions (if any)?What background information might your audienceneed to know to complete these instructions?What are the steps in your instructions? Be sure theyare in chronological orderWhich of your steps above might need extraexplanations?Characters used: 424/ 15000 The red line and the blue line buses both stop at the football stadium. A red line bus and a blue line bus both left the stadium at 6:00 p.m. red line buses are scheduled to leave the stadium every 6 minutes. blue line buses are scheduled to leave the stadium every 8 minutes. If the buses run on schedule, when is the next time a red line and a blue line bus will leave together?A.6:24 pmB6:36 pmC.6:48 pmD. 7:00