What are the solutions of 3x2 + 14x + 16 = 0?

Answers

Answer 1

Answer:

x=− 3/8

​x=−2.667

x=−2

4.3     Solving    3x2+14x+16 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

                                     

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    14

                     C   =   16

Accordingly,  B2  -  4AC   =

                    196 - 192 =

                    4

Applying the quadratic formula :

              -14 ± √ 4

  x  =    —————

                   6

Can  √ 4 be simplified ?

Yes!   The prime factorization of  4   is

  2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 4   =  √ 2•2   =

               ±  2 • √ 1   =

               ±  2

So now we are looking at:

          x  =  ( -14 ± 2) / 6

Two real solutions:

x =(-14+√4)/6=(-7+)/3= -2.000

or:

x =(-14-√4)/6=(-7-)/3= -2.667

Hope this helps! Please mark Brainliest!

Answer 2

Answer:

-2 or -8/3

Step-by-step explanation:

It factors as: (3x+8)(x+2)

so x can equal -2 or -8/3


Related Questions

at lunch ms felter ate 2/3 of a pizza and mrs steptoe eat 5/6 of a pizza how much did they eat together​

Answers

Answer:

9/6 or 1 1/2

Step-by-step explanation:

For this problem. We need to add the following fractions:

2/3 and 5/6.

Let's find common denominators:

(Multiply 2/3 by 2/2)

= 4/6

Add the numerators:

[tex] \frac{4}{6} + \frac{5}{6} = \frac{9}{6} [/tex]

9/6 can also equal 1 1/2 as a simplified mixed fraction.

Given that each unit on the map represents 5 miles, what is the actual distance from Oceanfront to Seaside?

Answers

Answer:about 40 miles

Step-by-step explanation:

A metro train on platform A arrives after every 3 minutes and 20 seconds nd another metro on platform B arrives after every 1 minute 12 secs at 8 am at a particular day both trains arrive on respective platforms together at what time will both platforms have trains together

Answers

Answer:

csacacsac

Step-by-step explanation:

rgergerggsgds

Use one or more transformations to transform the pre-image (purple) onto the image (white).
Translate
Rotate
* Reflect

Answers

Answer:

translate it 12 units right

Step-by-step explanation:

To transform the pre-image (purple) onto the image (white), we can translate 12 units rights.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The pre-image (purple) and the image (white) is shown in image.

Now, To transform the pre-image (purple) onto the image (white), we can translate 12 units rights.

And, Then it get transform the pre-image (purple) onto the image (white).

Learn more about the transformation visit;

https://brainly.com/question/30097107

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Olivia has $150 to spend on clothes. She buys one pair of jeans for $38. She wants to buy several shirts that cost $21 each. Which inequality could be used to determine the possible number of shirts, x, she could buy? A. 38 21 150 x − C. (38 21) 150 x + B. 38 21 150 x+ D. 38 21 150 x +

Answers

Answer:

38+21x<=150

Step-by-step explanation:

The options are not clearly stated, nevertheless, let us formulate the inequality.

The total amount at hand=$150

the cost of a pair of jean=$38

the cost of shirt is=$21

the cost of x shirts =$21x

the total expenses is

38+21x

Therefore the inequality is

38+21x<=150

Home Algebra 1 Support Final Exam Term 1
y = 3x - 1
y = -3x - 1
Which describes the number of solution(s) to the system of linear equations shown above?
C
Exactly two
None
A
An infinite number
D
B
Exactly one

Answers

Answer:

B. Exactly one solution

Step-by-step explanation:

Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).

The measure of angle 1 is (3x + 10)° In the measure of angle 4 is (4x - 15)°
What is the measure of angle 7?​

Answers

∠1 = ∠4 ( vertically opposite angles )

Then :-

[tex]3x + 10 = 4x - 15[/tex]

[tex]10 = 4x - 15 - 3x[/tex]

[tex]10 = 1x - 15[/tex]

[tex]1x - 15 = 10[/tex]

[tex]1x = 10 + 15[/tex]

[tex]1x = 25[/tex]

Which means :-

∠1 =

= 3x + 10

= 3 × 25 + 10

= 75 + 10

= 85°

∠4 =

= 4x - 15

= 4 × 25 - 15

= 100 - 15

= 85°

Then :-

∠7 = ∠6

∠6 + ∠4 = 180° ( interior angles on the same side of transversal )

∠6 + 85 = 180°

∠6 = 180 - 85

∠6 = 95°

As ;

∠6 = ∠7

∠7 = 95°

Therefore , angle 7 = 95° .

Answer:

95

Step-by-step explanation:

The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the least integer in the set?

Answers

Answer:

131

Step-by-step explanation:

Given that:

Median of a consecutive odd integers = 138

Greatest integer In dataset = 145

Least integer in dataset =

Since the integers are consecutive ;

Number of integers to greatest integer value : Greatest integer - median value = 145 - 138 = 7

Hence, 7 integers before the median value should give us the least integer value ;

138 - 7 = 131

CHECK:

131,132,133,134,135,136,137,138,139,140,141,142,143,144,145

Median = (n+1)/2 th term

Median = (15+1)/2 = 8th term = 138

Highest = 145

Least = 131

Answer:

131

Explanation:

It was in a Mathcounts competition

what are the coordinates of point B? ​

Answers

Answer:

3,3

Step-by-step explanation:

the coordinates of point B are (3,3)

a. 36m^2
b. 30m^2
c. 18m^2
d. 26m^2
PLZ HELL MEHHH​

Answers

Answer:

its really easy just multiply

Step-by-step explanation:

multiply everything together

Tables (2)
Students (y)
In a classroom, the students are set up in the
arrangement shown in the table.
How many students are sitting at the 4 tables?
4
?
7
35

Answers

Answer:

20 is the answer hope it helps

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

just took the test

what is 1000 times 1000


PLEASE HELP ME

Answers

Answer:

1000000

Step-by-step explanation:

Answer:

1,000,000

Step-by-step explanation:

1000 ⋅ 1000 = 1,000,000

(Add the zeros together)

Hope I helped :)

Please consider Brainliest :)

I need help!! whats the answer?​

Answers

The perimeter of the square is [tex]16\sqrt{5}[/tex]

The area of of the square is [tex]80[/tex]

Hope it helps!

Miss Mason decided to give a test with 90 points and 25 questions multiple-choice questions are worth three points and we’re problems are worth four points how many word problems were on the test

Answers

Answer:

3.75

Step-by-step explanation:

90 points total

25 multiple choice worth 3 points is 75 points for multiple choice

90-75=15

15/4=3.75 word problems

A square has a side length of 6x+2. a rectangle with width 3x+1 has the same area as the square. what is the length of the rectangle?

Answers

Answer:

2

Step-by-step explanation:

(6x+2)/(3x+1) = 2

A pizza with a 10-inch diameter costs $6.99 and is cut into 6 slices, what is the cost per slice? ​

Answers

Answer:

$1.165

Step-by-step explanation:

$6.99/6 slices = 1.165

Jada grew 12 plants with 6 seed packets.How many seed packets does Jada need to have a total of 14 plants in her backyard.Assume the relationship is directly proportional​

Answers

She would need 7 packets

Answer:

7 seed packets

Step-by-step explanation:

Think about it like this:

If 12 ÷ 6 = 2, then 14 ÷ 2 = 7.

I need help on this please

Answers

Answer:

No

Step-by-step explanation:

1+2(7) <_ 10

15<_10

nope

The cost of Veronica's dinner is $13.75 she leaves a tip that is 18% of the cost of dinner how much tip did she leave for her server?

Answers

Answer:

2.48$

Step-by-step explanation:

You can say that the tip is ? of of 13.75 and written as

[tex]\frac{?}{13.75}[/tex] and .18 is [tex]\frac{18}{100}[/tex] cross multiply these so

13.75 x 18 = 100?

247.5 = 100?

2.475 = ?

then round up

How many solutions does the following equation have? -6(x + 7) = -42 - 2​

Answers

Answer:

x = 1/3 or .333

Step-by-step explanation:

15. A football team gains an average of 6 yards per play. How many yards have they gained after 4 plays? Write a number sentence to show your answer.​

Answers

Answer:

24 yards

Step-by-step explanation:

What term can you add to 5/6x- 4 to make it equivalent to 1/2x - 4?

Answers

Answer:c 1/3

Step-by-step explanation:

i took quiz

Homework help quadratics

Answers

Answer:

no cap just plug in each one into a quadratic formula and if thats to difficuly just look up symbolab and plug it in

Finn is 4 years older than Jake. Five years ago, the sum of their ages was 48.

Answers

Answer jake is 29

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the age of Jake be=x

let the age of Finn be=x+4

Five years ago:

age of Jake +age of Finn=48

x+x+4-5=48

2x-1=48

2x=48=1

2x=49

x=49/2

x=24.5

therefore, age of Jake=x=24.5

therefore, age of Finn=x+4=24.5+4=28.5

hope it helps

Do przygotowania jednej porcji gofrow potrzeba 1 i pul szklanki maki pszennej, 1i jedna trzecia szkalanki mleka oraz 0,5 szkalnki oleju pszennego. Szklanka maki wazy 16 dag, szklanka mleka-24 dag, a szklanka oleju-21,5 dag.Ile dekagramow waza lacznie skladniki potrzeba na jedna porcje gofrow?

Answers

Odpowiedź:

5,075 dekagramu

Wyjaśnienie krok po kroku:

Biorąc pod uwagę, że:

Na jedną porcję gofra:

mąka pszenna = 1 szklanka

mleko = 1 szklanka

olej pszeniczny = 0,5 szklanki

Waga na filiżankę:

1 szklanka mąki = 16 gramów

Szklanka mleka = 24 g

Dziewczęta oliwy = 21,5 g

Na jedną porcję gofra:

(1 * 16 gramów) + (1 * 24 gramów) + (0,5 * 21,5 gramów)

16 gramów + 24 gramów + 10,75 gramów

= 50,75 grama

Odwołanie :

1 gram = 0,1 dekagramu

50,75 gramów = (50,75 * 0,1)

= 5,075 dekagramu

What is 9x-7=-7 ?????

Answers

Answer:

when we stop 9x then

7 will go another side so,.9x=7

and when X is stoppedbit will be=7/9

Answer:

[tex] \sf \: x = 0[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 9x - 7 = -7

Then the value of x will be,

→ 9x - 7 = -7

→ 9x = -7 + 7

→ 9x = 0

→ x = 0 ÷ 9

→ [ x = 0 ]

Hence, the value of x is 0.

please help thank you

Answers

Answer:

k=12

Step-by-step explanation:

hope this helps :))

what is 6(x+-2) simplify to ​

Answers

Answer:

6 −12

Step-by-step explanation:

6(−2)

6−12

6x−12

Which of the following is an arithmetic sequence with common difference 2?

A. 1, −3, 5, −7, 9, …
B. 2, 4, 8, 16, 32, …
C. 10, 8, 6, 4, 2, …
D. 13, 15, 17, 19, 21, …

Answers

Answer:

The answer is B

Step-by-step explanation:

Its just B

The sequences that have a common difference of 2 are B and D, Option B and D both are correct.

Given that, determine the Which of the arithmetic sequence with common difference 2.

A. 1, −3, 5, −7, 9, …                B. 2, 4, 8, 16, 32, …
C. 10, 8, 6, 4, 2, …                 D. 13, 15, 17, 19, 21, …

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values.

Here,
A. 1, −3, 5, −7, 9, …

Common difference = -3 - 1 = -4

B. 2, 4, 8, 16, 32, …
Common difference = 4 - 2 = 2

C. 10, 8, 6, 4, 2, …
Common difference = 8 - 10 = -2

D. 13, 15, 17, 19, 21, …
Common difference = 15 - 13 = 2

Thus, the sequences that have a common difference of 2 are B and D, and Option B and D both are correct.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
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What is the value of x in the equation 6(x - 2) = 36 - 10x?
A. -6
B. 1.5
C. 3
D.6

Answers

Answer:

x=3

Step-by-step explanation:

Other Questions
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