What is the answer to -6n^2 - 5n - 7 = -8

Answers

Answer 1

Answer:

n = [tex]\frac{1}{3}[/tex] , n = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

6n² - 5n - 7 = - 8 ( add 8 to both sides )

6n² - 5n + 1 = 0 ← in standard form

Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term

product = 6 × 1 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the n- term

6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )

3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term

(2n - 1)(3n - 1) = 0 ← in factored form

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = [tex]\frac{1}{3}[/tex]

2n - 1 = 0 ⇒ 2n = 1 ⇒ n = [tex]\frac{1}{2}[/tex]


Related Questions

Don’t answer just for points please~ I need help and I’m struggling lol

Answers

Answer: 50

Step-by-step explanation:

5x + 55 = 2x + 100

5x = 2x + 45

3x = 45

x = 15

y equals angle 2

180 = 5(15) + 55 + y

180 = 75 + 55 + y

180 = 130 + y

50 = y

angle is 50

Answer:m∠2 = 50°Step-by-step explanation:

We know that:

=> m∠2 + 5x + 55 = 180°=> 5x + 55 = 2x + 100

Because of 180° angle formula.

First, let's solve for x. Then we will solve m∠2.

=> 5x + 55 = 2x + 100=> 5x - 2x = 100 - 55=> 3x = 45=> x = 15

Since we have found x, it is time to find m∠2.

=> 5(15) + 55 + m∠2 = 180=> 75 + 55 + m∠2 = 180=> 130 + m∠2 = 180=> m∠2 = 180 - 130=> m∠2 = 50Conclusion:

Therefore, the measure of m∠2 is 50°

Hoped this helped.

[tex]BrainiacUser1357[/tex]

tASAP HELP + 50 POINTS
Find the value of x. Show all the work

Answers

Answer:

7

Step-by-step explanation:

im pretty sure at least. since x is on a midpoint, it'd half of 14.

See those similar lines

The line.of length x passes through midpoint of the traingles on opposite sides

At this case according to BPT theorem

2x=14x=14/2x=7

John is 10 years younger than james . In 5 years time James will be twice as old as John 1. How old is John 2. what was their total age 3 years ago​

Answers

Answer:

John is 5 nowtotal age 3 years ago was 14

Step-by-step explanation:

When James is twice as old as John, the difference in their ages will be John's age: 10. That is 5 years from now, so John's age now is 10 -5 = 5.

John is 5 years old.

__

3 years ago, John was 2 and James was 12. Their total age at that time was 14.

Find the area of the semicircle.
Either enter an exact answer in terms of pi or use 3.14 for IT and enter your answer as a decimal.

Answers

Answer:

Step-by-step explanation:

semi circle: pi(r^2)/ 2

r=3

AREA: 14.14

In a relation y = 2t + 1, what is the value of y if t = 7

Answers

Answer:

If t = 7, y = 16

Step-by-step explanation:

y = 2t + 1

y = 2(7) + 1

y = 14 + 1

y = 15

8. Determine the slope of each line,

f(x) = 3x + 6

Answers

Answer:

3

Step-by-step explanation:

Pick 2 x values to plug in:

x  = 0:        3(0)+6 = 6

x = 2:         3(2)+6 = 12

slope = (y2 - y1) / (x2 - x1)

slope = (12 - 6) / (2 - 0)

slope = 6 / 2

slope = 3

Can you help me explain

Answers

Answer:

6, 60, 0.6, 600 are the answers

the questions all use the same digits but that the powers of 10 are different between the dividends and divisors for some

Step-by-step explanation:

find the sides marked with letters

Also explain how to solve it ​

Answers

Answer:

m = 10

Step-by-step explanation:

The triangles are similar. The scale factor is 15/9.

We multiply 6 by the scale factor and get m:

m = 6 * 15/9 = 10

Then we see that m (10) is also the lenght of a side in the smaller triangle, so we multiply 10 by 15/9 and find a.

a = 16,6 (circa)

I need help lololololololololololololololol

Answers

Answer:

bestie so do i

Step-by-step explanation:

I need help, could someone please explain this.
Find the polynomial function in standard form that has the zeros listed. 1-2i and 1 + 2 i​

Answers

Answer:

  y = x² -2x +5

Step-by-step explanation:

When a polynomial has q as a zero, it has (x-q) as a factor. Your polynomial has factors (x -(1-2i)) and (x -(1+2i)). The polynomial will be the product of these factors.

__

  y = (x -(1 -2i))(x -(1 +2i))

  y = ((x -1) +2i)((x -1) -2i) = (x -1)² -(2i)² = x² -2x +1 -4(-1)

  y = x² -2x +5

_____

Additional comments

i is the imaginary number √(-1), so i² = -1.

The two given roots differ only in the sign of their imaginary parts, so they are "conjugates" of each other. Complex roots of polynomials with real coefficients always come in conjugate pairs. (In some problems, you will be expected to supply the missing root of a conjugate pair.)

The expression for the product of the factors is simplified using the factoring for the difference of squares:

  (a -b)(a +b) = a² -b² . . . . . . . here, we have a=(x-1); b=2i

Solve the equation.
7- 3n = 11n+ 2

Answers

if ur solving for n then its -2
n=-1/4
3n-11n=11n+2-11n

: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea.

Answers

For every 5 minutes of jogging, I ran 500 yards

To Find : Use ratio language to describe the relationship of any two things

Determine the unit rate

Solution:

every 5 minutes of jogging, I ran 500 yards

=> 500/5 = 100 yards/ minute

For every 20 minutes ,  I can type 1000 words in

unit rate = 1000/20  = 50 words per minute

For every 1 hr (60 minutes)  I can solve 10 Questions

unit rate = 10/60     = 1/6 Question per minute  

For every 10 minutes , i can read 5 pages

unit rate = 5/10   = 1/2 pages per minute

Learn More:

Selma uses a jogging trail that runs through a park near her home ...

brainly.in/question/21297587

Keith is saving money for a car. He has saved the same amount ...

brainly.in/question/14056417

How many 4th cups of flour are in 3 3/4 cups

Answers

Answer: 12 cups

Step-by-step explanation:

write the inequality this number line represents "14-15-16-17-18-19-20-21-22-23-24"
PLEASE HELP!!

Answers

Answer:

x≤19

Step-by-step explanation:

because its everything to the left of 19 including 19

Answer:

Interval notation:  (- ∞, 19]

Inequality notation:  -∞ < x ≤ 19

Step-by-step explanation:

Given the inequality graphed on a number line, where there is a closed circle on 19:

A closed circle represents the endpoint as part of the solution.  Moreover, the direction of the arrow on the number line points toward the left, which implies that all of the values that are less than or equal to 19 are included on the solution.

Therefore, the inequality represented on the number line is:

Interval notation:  (- ∞, 19]

Inequality notation:  -∞ < x ≤ 19

8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?​

Answers

Answer:

0

Step-by-step explanation:

Jordan hasn't got enough money to buy any books, as $11.40<$280.

He can buy 4 books
11.40/2.85 = 4

please help me Simplify (4m3)2.

Answers

Answer:The simplified form of (4m3)2 is 24m.Step-by-step explanation:(4m3)2=> 4 x m x 3 x 2=> 24mConclusion:

Therefore, the simplified form of (4m3)2 is 24m.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Find the area of a regular hexagon with side length of 2 m. Round your answer to the nearest tenth.

Answers

Answer:

12

Step-by-step explanation:

A regular hexagon has 6 equal sides

2 times 6 = 12

Answer:

10.4m²

Step-by-step explanation:

A≈10.39m²

A=33

2a2=3·3

2·22≈10.3923m²

= 10.4m²

Compare: The graphs below show the number of points you earn in each level of a game. Which games, if any, have a proportional relationship between the number of points you earn and the level of 7the game? In which game can you earn the most points in level 2? Explain your answer.

Answers

Answer:

Ok A and C are both proportional because it goes through the origin.

Step-by-step explanation:

If the line doesn't start or go through the origin will not be proportional. So If the line went through or started from the origin will be proportional. Which leaves B as Non-proportional graph.

Kasey had to make a down payment of 17% of the selling price of her house. She was approved for a $255,000 mortgage. What range of costs might she expect to pay at the closing?

Answers

Answer:

aq lang to Yung d na binalikan Yung iniwan na parang basura

A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.​

Answers

Answer:

Step-by-step explanation:

Orbit = 2*pi * r

r = 65000000 km

Orbit = 65000000 * 2 * 3.14

Orbit = 406 200 000             km

d = 406 200 000

s = speed = 65000 km / hr

t = time = d / s

t = 406,000,000 / 65000

t = 6280 hours.

1 day = 24 hours.

t = 6280 / 24 = 261.67 days

LaShawn earned $60.00 for working 8 hours this weekend. What is the total amount of money LaShawn would earn for working 34 hours at the same rate of pay

Answers

To find this answer we have to do these steps below

1. Find the amount of money that LaShawn earns in an Hour

We have to do 60/8 which is 7.5

LaShawn earns 7.5 dollars in an hour

2. Multiply 7.5 by 35

The answer to that is 262.5 dollars

Therefore the answer is 262.5 dollars

I hope this helped, if it's wrong, blame me

Ps. Brailents would help a LOT

The points (-1,-4) and (-2, -8) fall on a particular line. What is its equation in point-slope
form?
Use one of the specified points in your equation. Write your answer using integers, proper
fractions, and improper fractions. Simplify all fractions,

Answers

Answer:

y = 4x

Step-by-step explanation:

The point slope form is:

y − y1 = m(x − x1)

We are given (x,y) and (x1,y1), so put those into the equation first:

(-4-(-8)) = m(-1 -(-2))

4 = m*( 1)

m = 4

The equation is y = 4x.  It goes through the origin, (0,0), so the y-intercept is 0.

Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
5
|(2, -1) 5
(-2,-3)
2

Answers

Answer:

The slope is 2/4 or 1/2

Step-by-step explanation:

Round 68,533 to the nearest hundred.

Answers

Answer:

68,500

Step-by-step explanation:

68,533 <- Hundreds place is underlined

[] To round, we look at the number right the place. If it is less than 5, keep it the same. If it is five or greater , round up.

[] In this case it is a 3, so we keep it the same. We get an answer of 68,500

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update  my answer accordingly. (ノ^∇^)

- Heather

The answer is:

68,500

Explanation:

When counting, the digit 5 is in the hundredth place in the entire number.

For example:

$500 (five hundred dollars)
$6,500 (six thousand, five hundred dollars).

Therefore, whatever comes after the number 5 would become a zero.

Solve for C: 20 (greater than or equal too sign) C-11

Answers

Answer:

C (is greater than it equal to) 31

Step-by-step explanation:

Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33

HELP PLEASE! Which function had the higher average rate of change between the beginning of January and the middle of March? What does this mean about the temperature in the two cities?

Answers

Answer:

Minneapolis

Step-by-step explanation:

I need help with my math homework from The Hung Vuong Learning Centre Incorporated, like immediately please!!! Here is an image for you to answer the questions will receive the Brainliest award if you answer the questions completely! Well anyways, good luck on answering the questions and I will check the answers are appropriate! :)

Answers

Answer:

Give me some hint please

Answer:

2. d) L = 10, W = 20

3. c) P = 100

Step-by-step explanation:

2. 2L + W = 40

W = 40 - 2L

A = L x W

= L (40 - 2L)

= 2L^2 + 40L

=-2 (L^2 - 20L)

= -2 (L^2 - 20^2 + 100 - 100)

= -2 (L^2 - 20L + 100) +200

= -2 (L - 10)^2 +200

L = 10

W = 40 - 2(10

=20

3. c. P = 2(L + W)

= 2(49 + 1)

= 100

a. P = 53

b. P = 32.5

d. P = 28

Please quickly answer number 6 will give brainliest

Answers

C strong
Shshsjshshasjajasja

Jim is riding his bicycle. He rides for 22.5 kilometers at a speed of 9 kilometers per hour. For how many hours does he ride?

Answers

Answer:

It is 2.5 hours.

Step-by-step explanation:

please help anybody hm​

Answers

Answer:

The answer is 1

Step-by-step explanation:

The answer is 1

The reason that it’s one and not zero is because your multiplying the number by itself 0 times and that means you’re not multiplying by anything at all.
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