Solve the following quadratic equation:

x/x+3 = 5/2x+6​

Solve The Following Quadratic Equation:x/x+3 = 5/2x+6

Answers

Answer 1

Answer:

[tex]x=5/2, x=-3\\[/tex]

Step-by-step explanation:

[tex]x(2x+6)=5(x+3)\\2x^2+6x=5x+15\\2x^2+6x-5x-15=0\\2x^2+x-15=0\\2x^2+6x-5x-15=0\\2x(x+3)-5(x+3)=0\\(2x-5)(x+3)=0\\2x-5=0, x+3=0\\x=5/2, x=-3\\[/tex]


Related Questions

∠xangle, x and ∠ y ∠yangle, y are supplementary angles. ∠ y ∠yangle, y measures\ 33, degrees. What is the measure of ∠ x ∠xangle, x?

Answers

Answer:

If x and y are supplementary then x + y = 180

If angle y = 33 then angle x = = 180 -33

angle x = 147 degrees

Step-by-step explanation:

The end of summer Jamie bought a 325 surfboard for $123.50 but what percent was the surfboard mark down?

Answers

Answer:

62%

Step-by-step explanation:

Percentage markdown = [tex]\frac{inital price - new price}{initial price}[/tex] × 100

[tex]\frac{325 - 123.50}{325}[/tex] x 100

[tex]\frac{201.50}{325}[/tex] x 100 = 62%

A triangle has an area of 153.79 square centimeters and a base of 18.2 centimeters. What is the height?

Answers

The correct answer is 16.9

Answer:

16.9

Step-by-step explanation:

Help me! The question is in the image

Answers

Water Unit Price: $1.50 Total for 2: $3
Apple Unit Price: $2 Total for 2: $4
Nuts Unit Price: $3 Total for 2: $6
Juice Unit Price: $1.33 Total for 2: $2.66
The total price for everything is $15.66

Terry has a number cube that is numbered from 1 to 6. She rolls the cube 50 times. Which equation can be used to predict the number of times that she will roll a number that is greater than 4?
(options in picture)
I have around 40 minutes so its not too much of a rush, Thank you! :)​

Answers

Answer:

P(number greater than 4) = 1/6(50)

In numbers 1 to 6 only 5 and 6 are greater than 4.

Hence, the probability that she will get a number greater than 4 is 2 out of 6 or 2/6.

________________________________

The probability that she'll get more than 4 if she throws the dice 50 times–

The probability that she'll get more than 4 if she throws the dice 50 times–

= 50 × 2/6

________________________________

Hence, your answer will be–

Hence, your answer will be–P( Number greater than 4 ) = 2/6 (50)

hii! please help asap. i’ll give brainliest

Answers

Answer: B

Step-by-step explanation:

the correct answer your looking for is B

Find the height of a cone of radius 5cm and slant height is 13cm.​

Answers

Answer:

The height is of a cone is 18 cm

Answer:

12 cm

Step-by-step explanation:

Using Pythagoras theorem

Square of Height+Square of Radius=Square of Slant height

H^2+5^2=13^2

H^2+25=169

H^2=169-25

=144 cm

H=12 cm

One angle of an isosceles triangle measures 132º. Which other angles could be in that
isosceles triangle? Choose all that apply.

Answers

An isosceles triangle is a triangle that has two sides and thus two angles the same amount. Triangles have 180 degrees, so if we subtract:

180 - 132 = 48, we do not have enough degrees to have a second 132° angle That leaves the 48° to be the angles to be split:

48 / 2 = 24°

So your answer is going to be 130-25-25 angle triangle.

*Just for reference, an example of an isosceles triangle having two possible answers? Let's say the given degree is 50o. Thus it could be one of the mirrored degrees (80-50-50), or it could be the non-mirrored angle (50-65-65)

Answer:

The other two angles of isosceles triangle will be 24° each.

Step-by-step explanation:

An isosceles triangle

An isosceles triangle is a triangle that has two sides and thus two angles opposite to the equal sides will be same .

Also Triangles have sum of all angle to be 180° , so if we subtract the given angle we get

180° - 132° = 48°,  

So the total  sum of angle remaining for other two angles  will be of 48°

Therefore the sum of each angle will be

48° / 2 = 24°

So all angles of the  isosceles triangle will be 132°-24°-24°angle triangle.

click here to know more about  isosceles triangle

https://brainly.in/question/16524449

#SPJ2

Qual O valor de (6-2,4) :0,6

Answers

Answer: (-1)º + (-6) : (-2) - 24 = 1+(-6): (-2) - 16 = 1+3 - 16 = %3| 4 - 16 = - 12

Espero ter ajudado bons estudos tenha uma Boa noite ❤

Brainlist PLz

Where is 42% on the number line?

Answers

Answer:

Step-by-step explanation:

the first tick mark

Answer:

2nd Division

Step-by-step explanation:

Given :-

A number line , divided into 4 parts markedfrom 0% to 100%.

And we need to tell where does 42% lies on the number line . So , since there are 4 equal divisions , therefore each division has ,

[tex]:\implies[/tex] Each division = 100% ÷ 4

[tex]:\implies[/tex] Each division = 25%

So after two divisions the marking will be 50%. Therefore , 42% lies in the second division .

Hence 42% lies in the second division .

A sphere fits inside a cube with the sphere's diameter equal to the width of the cube, 20 centimeters. What is the volume of the cube not filled by the sphere? Round to the nearest cm³


A) 3813cm³
B) 3225cm³
C) 4079cm³
D) 3546cm³

Answers

Answer is 3813cm^3

First, find the volume of the sphere and cube.

Volume of sphere:
4/3 x pi x radius^3
4/3 x pi x 10^3
Sphere volume = 4188.790205

Volume of cube:
Length x width x height
20 x 20 x 20
Cube volume = 8000

Afterwards, subtract the volume of the cube by the volume of the sphere.

8000 - 4188.790205 = 3811.209....

The volume of the cube not filled by the sphere is 3811.209. Option A is the correct.

What is volume?

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.

The volume of sphere is found as;;

[tex]\rm V_{sphere}= \frac{4}{3} \pi r^3 \\\\ V_{sphere}= \frac{4}{3} \times 3.14 (10)^3 \\\\ V_{sphere}= 4188.79 \ cm^3[/tex]

The volume of cube is found as;

Volume of cube = Length x width x height

Volume of cube =20 x 20 x 20

Volume of cube = 8000

The volume of the cube not filled by the sphere is found by subtract the volume of the cube by the volume of the sphere.

V=8000 - 4188.790205

V = 3811.209

The volume of the cube not filled by the sphere is 3811.209.

Hence, option A is the correct.

To learn more about the volume, refer to the link;

https://brainly.com/question/13338592

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What is the mean of the data set?

10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16


12.00

12.25

12.75

15.50
A town's yearly snowfall in inches over a 10-year period is recorded in this table.

What is the mean of the snowfall amounts?


16.4 in.

17.1 in.

17.4 in.

18.1 in.
Year Snowfall in inches
2001 11
2002 15
2003 19
2004 17
2005 23
2006 20
2007 17
2008 13
2009 18
2010 21
Jody's team scored 21, 25, 36, 16, and 32 points at the last five football games.

What is the mean number of points Jody's team scored?


20 points

21 points

25 points

26 points
What is the mean of the values in the stem-and-leaf plot?


Enter your answer in the box.
3|1
4|
5|5
6|8
7|0, 0, 2
Key: 2|5 means 25

Answers

Ok, im guessing that this is all about mean

First mean is just adding everything up for example:

5+5+10+10+5

so the answer is 35, but that isnt completely finished you need to divide 35 by 5, or how many numbers were added then you get the mean for my example the mean is 7

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

ACTUAL PROBLEMS

1. 10+15+14+8+18+11+12+12+10+10+17+16 = 153

153/12= 12.75

2. 16.4+17.1+17.4+18.1= 69 B)

69/4=17.25

3.  11+15+19+17+23+20+17+13+18+21=174

174/11=15.8181818182

4. 21+25+36+16+32= 130

130/5=26

a

What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 5:00

Answers

Answer:

It makes  150°

Step-by-step explanation:

So, I'll explain on the document.

Name the minor arc and find its measure.

Answers

Answer:  ADB (245 degrees)

(Third option fyi)

Step-by-step explanation:

How do i do this, i need to find an answer fast

Answers

Answer:

y = 5√3

x = 10√3

Step-by-step explanation:

From the given sides

Adjacent = 15

Opposite = y

Hypotenuse = x

Angle of depression = 30degree

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 30 = y/15

y = 15tan30

y = 15(1/√3)

y = 15√3/3

y = 5√3

Similarly

cos theta = adj/hyp

cos 30 = 15/x

x = 15/cos30

x = 15 /√3/2

x = 30/√3

x = 30√3/3

x = 10√3

What is value of the expression (6^1/2)^2

Answers

Answer:

6

Step-by-step explanation:

A drug company conducts trials of a new vaccine for a rare but usually fatal disease. The company creates a
geometric model for this trial and establishes p=0.2 as the probability of success.
What can be said about this model?

Select all that apply.

1)The company predicts 4 failures before a success.

2)Each trial is independent.

3)The probability is the same for each trial.

4)The probability that the vaccine will be effective is p = 0.8.

5)Success is defined as preventing the disease.

6)The company predicts 8 failures before a success.

7)Success is defined as p = 0.2.​

Answers

Answer:

What can be said about the model are;

1) The company predicts 4 failures before success

2) Each trial is independent

3) The probability is the same for each trial

4) Success is defined as preventing the disease

Step-by-step explanation:

The probability of success for the vaccine, p = 0.2

Therefore, the probability that the vaccine is effective and prevents the disease = 0.2

A geometric distribution probability of success is given by the following formula;

P(X = x) = p × q⁽ˣ⁻¹⁾

The expected value, E(Y) = 1/p

The number of failures before success, E(Y) = (1 - p)/p = (1 - 0.2)/0.2 = 4

Where;

q = The probability of a trial failing = 1 - p = 1 - 0.2 = 0.8

q = 1 - p

∴ The e

The geometric model criteria are;

a) Each trial can only have one of two outcomes success or failure

b) The probability of success for each trial is fixed

c) The geometric distribution is concerned with finding how many trials are required to get one success

d) The trials are independent

Therefore, we have;

The number of failures the company predicts before a success = 4 failures

2) The trials are independent

3) Each trial has an equal probability

4) Success is defined by the effectiveness of the vaccine in the prevention of the disease

This graph represents the function f(x)=x2-4x+3/x2+ax+b

Answers

here ya go this is what I got

please help due in 10 minutes

Answers

Answer:

Mostly likely 12

Step-by-step explanation:

The higher the age, the more pages...

After a age you can see it goes up half of a row in the pages...

It is most likely 18 or 12...

More likely 12

Find the volume of the composite figure.

Answers

Answer: 290 cubic meters

Step-by-step explanation: First, find the volume of each figure. 3 x 6 x 5 = 90, and 5 x 5 x 8 = 200. 90 + 200 = 290

Evaluate plzzz help am giving brainliest

Answers

Answer:

-2g+3ga

Step-by-step explanation:

go to math(way).com to find the answer pretty ezpz

-2g - 3ga is the answer

Sallie makes candles using different scents. She sells each candle for $8 on her website. She writes the equation y = 8x to determine how much money, y, she earns from selling x candles. What does the independent variable represent in this situation? A The number of scents B The number of candles Sallie sells C The cost of each candle Sallie sells D The total amount of money Sallie earns selling candles

Answers

Answer:

B The number of candles Sallie sells

Step-by-step explanation:

Given the equation :

y = 8x

y = amount earned ; x = number of candles sold

Cost per candle = 8

The Independent variable is the number of candles sallie sells as it is this variable which determines the amount which sallie will earn from candle sales (dependent variable). In essence, the variable which determines or affects the dependent variable is the independent variable.

Find the values of x and y

Answers

Answer:

x = 54, y = 63

Step-by-step explanation:

117° and the left base angle are adjacent and sum to 180°

base + 117° = 180° ( subtract 117° from both sides )

base = 63°

Since the triangle is isosceles ( congruent legs ) then the 2 base angles are congruent , so y = 63

and x = 180 - (63 + 63) ← sum of angles in a triangle

x = 180 - 126 = 54

In the diagram below, 'AB is parallel to cd. What is the value of y?

Answers

60 jdfjbdjdjdjd ah inebauwkwhiwiwnais

Answer:

60

Step-by-step explanation:

There are 6 red marbles 4 blue marbles to yellow marbles. Sabrina picks 2 marbles without putting the first one back what is the probability that she picks a not yellow marble and then a blue marble.

Answers

Answer:

P = 3/11

Step-by-step explanation:

There are:

6 red marbles

4 blue marbles

2 yellow marbles.

So there are a total of 12 marbles in the bag, such that each one has the same probability of being randomly picked.

We want to find the probability that the first pick is not yellow (so it can be either blue or red), and the second pick is a blue marble.

Now there are two cases.

The first marble is red and the second blue

the first marble is blue and the second blue

We need to find the probability in each case.

The probability that the first marble is red is equal to the quotient between the number of red marbles (6) and the total number of marbles (12)

p = 6/12

Now, for the second draw, we need a blue marble, the probability in this case is the quotient between the number of blue marbles (4) and the total number of marbles in the bag (now there are 11, because one is already taken)

q = 4/11

The joint probability is equal to the product of the individual probabilities, then:

P₁ = p*q = (6/12)*(4/11) = 2/11

And for the other case, we draw two blue marbles:

For the first draw, the probability is:

p = 4/12

And for the second draw, now there are 3 blue marbles and 11 total marbles, then the probability is:

q = 3/11

The joint probability is:

P₂ = (4/12)*(3/11) = 1/11

The total probability is then:

P = P₁ + P₂ = 2/11 + 1/11 = 3/11

Plz help If you give a good answer I will mark you brainlyest.

Answers

Answer:

its f

Step-by-step explanation:

Rule for 270° counterclockwise rotation: (x, y) → ( ‐ y, x )

What is the distance between the two points 5,3 and (1,0)?

Answers

Answer: The distance between (5,3),(1,0) is 25units square.

Step-by-step explanation:

So, I usually plot the points, and conect them first.

And then I draw a right triangle, so draw two line that conect to the line that we need to find the distance, and form a triangle. Make sure that the line from point (5,3)(1,0) is the Pythagorean triples.

Next, you count the units of the two line that makes a right angle. which is 4 units for the first line, and 3 units for the second.

Thirdly, you plug the numbers into the Pythagorean equation, which is a^2+b^2=c^2 (plug it into a and b, it doesn't matter which number for which letter)

4^2+3^2=c^2

16+9=c^2

25=c^2

[tex]\sqrt{25}[/tex] = [tex]\sqrt{c}[/tex]

c=25

My explanation is kinda confusing, sorry about that.

The triangles formed by the diagonals of a square are equilateral. always sometimes never

Answers

Answer:

They are equilateral ever.

⚠️ Help I don’t know how todo this and I’d appreciate it if someone could help me ⚠️

Answers

1. Henry is wrong to say both equations are I correct because they are indeed correct: 12=12 is equivalent to x=x and vise versa. This is because x is a variable and can stand for any number including 12. The ratios of both equations are 1:1 which also makes them equal, because you can simplify them down to 1=1 or 0=0 for example. I hope that makes sense...


I don’t know how to
do this, i need help!

Answers

Answer:

A, [tex]\frac{5\sqrt{74}}{74}[/tex]

Step-by-step explanation:

Cosine of an angle is equal to the adjacent side of that angle over the hypotenuse of the triangle. Since the adjacent side is 5, and the hypotenuse is √74, the value is 5 / √74.

However, we can't have radicals (square roots) in the denominator, so we multiply the top and bottom by √74 so that the radical goes on the top.

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