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

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

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:

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

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]

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

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

help asap plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

75 divided by 15 = 5 undershirts.

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!!!!

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

pls help asap will make brainliest

Answers

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..

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

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 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 !

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$.......

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

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

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

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]

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.

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]

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

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

Please answer!! No links!! Thx :D

Answers

Answer:

60 seconds

Step-by-step explanation:

The y-intercept is 60

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°

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

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:

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:

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]

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.

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