solve using quadratic formula q^2-2q-1=0

Answers

Answer 1

Answer:

1±√2=q

or

q=2.41, -0.41

Step-by-step explanation:

we are given the equation q²-2q-1=0, and we want to use the quadratic equation, which is (-b±√(b²-4ac))/2a

a is 1 (there is a 1 in front of q²)

b is -2

c is -1

substitute into the equation:

q=(2±√(4-4*1*-1))/2

solve for the discriminant:

√(4-4(1*-1))

√8

now the equation:

(2±√8)/2=q

simplify:

1±√2=q

or if your application asks for a decimal:

√2≈1.41

so:

1+1.41=2.41=q

or

1-1.41=-0.41=q

Hope this helps!


Related Questions

Can someone help me please

Answers

Answer:

1: x = 6

2: There is no solution. Sorry. (because the ending equation will be 0 = 7)

3: I can't see the other part of the equation, I need to see what the fraction is in order to solve it. If you can retake the picture, I can edit my response :)

Step-by-step explanation:

#1: 3(x-1) is pretty much just 3x-3. Simple.

Now, your equation becomes 3x-3 = 2x+9.

Arrange them so that the like terms are together.

Since you will be taking the 2x from 2x+9 over to the other side, it becomes 3x-2x-3 = 9.

Now, bring the 3 over to the side with the 9.

x = 6.

#2: Same as before, -2(x+1) is (-2x) - 2.

So, -2x-2 = -2x+5.

As I said before, you need to group the like terms together.

-2x and -2x go together, and -2 and 5 go together.

-2x+2x=5+2

0=7.

There is no solution.

#3: Like the other two, 4(x-1) is 4x-4. As for the other part, I cannot see the fraction before (x-8).


[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2)[/tex]

Answers

Step-by-step explanation:

[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2) \\ = \frac{ - 42}{ - 7} + 12( - 2) \\ = 6 + ( - 24) \\ = 6 - 24 \\ = - 18[/tex]

wuestion
A restaurant customer left $1.05 as a tip. The tax was 6% and the tip was 15% of the cost including
tax.

What was the total bill?


Plz help due at 11:59
I will mark right answer brainliest

Answers

6% + 15% = 21% altogether
1.05 = 0.21x
x = 5
The total bill is $5

Please help me it’s due today

Answers

The answer should be 15 times 9 equals four

ver imagen para la pregunta

Answers

Answer: C

Step-by-step explanation:

PLEASE HELP!!
In a geometric sequence, a2=2, a3=12, and a4=72. Which equation can be used to find the nth term of the sequence, an?
an=2⋅10n−1
an=6⋅2n−1
an=13⋅6n−1
an=2n−1

Answers

Ik this is late, but people who are looking for the answer can see this.

Answer:

an =1/3*6^n-1

Step-by-step explanation:

You should plug in 2 for n in each equation, which, the correct one should give you 2. Then, to make sure, you plug in 3 in the equations that gave you 2.

Example:

an = 1/3 * 6 ^n-1

Plug in 2.

an = 1/3 * 6 ^2-1

an = 1/3 * 6 ^1

1/3 * 6 = 2

Step 2.

an = 1/3 * 6 ^3-1

an = 1/3 * 6 ^2

1/3 * 36 = 12

Hope this helps.

The correct equation which can be used to find the nth term of the sequence, an is,

⇒ a (n) = 1/3 × 6ⁿ⁻¹

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In a geometric sequence,

⇒ a₂ = 2, a₃ = 12 and a₄ = 72

Now, From option 3;

The equation is,

⇒ a (n) = 1/3 × 6ⁿ⁻¹

Put n = 2

⇒ a (2) = 1/3 × 6²⁻¹

⇒ a (2) = 1/3 × 6

⇒ a (2) = 2

Hence, This is the correct equation which can be used to find the nth term of the sequence, an.

Thus, The correct equation which can be used to find the nth term of the sequence, an is,

⇒ a (n) = 1/3 × 6ⁿ⁻¹

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Find the volume of this triangular pyramid.

Answers

Answer:

volume = 80 in³

Step-by-step explanation:

base area = 8 x 6 x 0.5 = 24 in²

volume = 24 x 10 x 1/3 = 80 in³


Find the total lateral area of the following
cone. Leave your answer in terms of a.
4 cm
3 cm
LA = ? cm2

Answers

Answer:

15π cm²

Step-by-step explanation:

The total lateral area of a cone

= πr√h² + r²

= √h² + r² = l

h = Height = 4cm

r = radius = 3cm

Hence:

= π × 3 √4² + 3²

= 3π × √16 + 9

= 3π × √25

= 3π × 5

= 15π cm²

2-13^3-10(23+21) = X

Answers

Answer:

x= -2635

Step-by-step explanation:

2 - 2197 - 10 x 44 = x

2- 2197 - 440 = x

-2635 = x

Answer:

x= -2635

Step-by-step explanation:

2 - 2197 - 10 x 44 = x

2- 2197 - 440 = x

-2635 = x

10. Use the two given poInts and calculate the slope.
(7,2), (6,1)

Answers

Answer:

The answer is m=1 , the slope is 1

Step-by-step explanation:

From a point 340 meters from the base of the Hoover Dam, the angle of elevation to
the top of the dam is 33°. Find the height of the dam to the nearest meter.

Answers

Answer:

221 m

Step-by-step explanation:

Let h = height of dam

tan 33 = h/340

340 tan 33 = h

h = 221 m

The height of the dam to the nearest meter will be 221 m.

What is height?

The vertical distance between the object's top and bottom is defined as height. It is measured in centimeters, inches, meters, and other units.

From the trigonometry;

[tex]\rm tan \theta = \frac{P}{B} \\\\ \rm tan 33^0 = \frac{h}{340} \\\\ h=221 \ m[/tex]

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

https://brainly.com/question/10726356

#SPJ2

please solve question 1 step by step and the others if u have time please​

Answers

Let the each angle be x , 2x and 3x.

→ x + 2x + 3x = 5600

→ 8x = 5600

→ x = 5600/8

→ x = 700

the value of x is Rs.700.

Now, 2x = 2×700 = 1400

, 3x = 3×700 = 2100

Each one will get Rs.700 , Rs.1400 and Rs. 2100.

If S=4 [tex]\pi[/tex] [tex]r^{2}[/tex] the value of S When R= 10[tex]\frac{1}{2}[/tex]

Answers

The Answer is 1385.

Rewrite the equation below in Graphing Form:
2.
y = x2 8x + 31

Answers

Answer:

y=x^28x+31

Step-by-step explanation:

Answer:   y= x 4 − 6 y = 1 x − 2

Step-by-step explanation:

If you move a decimal to the left 3 times will the numbers increase in value

Answers

Answer:

The number will decrease in value

Step-by-step explanation: For example if we had 638.23 if I move the decimal to the left 3 times it would be .63823, and if we add zeros it would look like this, 0.63823 so the number would decrease in value

6,336 ft in league?

Answers

0.348 nautical league

Answer:

0.3475905 in league

help me with the whole problem plssss i do anything plss.

Answers

Answer:

8 people can go

Step-by-step explanation:

25
What is the solution to the equation 12(x+5) = 4x?

Answers

Answer:

x = -7.5

Step-by-step explanation:

12(x+5) = 4x

12x+ 60 = 4x

60 = -8x

-7.5 = x

The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool, they moved 2 feet to the right and 4 feet up to create the center of their formation (Point C). From the center of their formation, they then formed a circle that goes through a point 3 feet to the left and 4 feet up (Point D). What is the equation of the circle?

Answers

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²  

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

Right answer will be marked brainlist .
Robert takes out a loan for $7200 at a 4.3% rate for 2 years. What is the loan future value?

Answers

Answer: should be 7819.20

explanation:

7200 * .043 * 2 = 619.20

7200 + 619.20 = 7819.20

Find the perimeter and thank

Answers

Answer:

12

..................................................

Step-by-step explanation:

2 + 2 + 1 + 2 + 1 + 4 = 12

Answer:

12 centimeters

Step-by-step explanation:

The double dashes are both the same number. Since the base is 4cm and they have to be two of the same number, the double dashes are each 2cm long. Meanwhile, the height is 2cm, and the single dashes are two of the same numbers (but not 2cm, because that's what the double dashes are). So, each dash must be 1cm long. When you add them up: [tex]4+2+2+2+1+1=12[/tex]

Advertisements for the train claim it is on time 90% of the time. The bus has a record of being on time 56 out of 64 days. Which form of transportation provides more reliable service???

Answers

It would be the train because if you find what percent 56/64 is it would be about 87%, so the train would be a more reliable service!

Answer:

The train is more reliable.

Step-by-step explanation:

The train is more reliable. The bus is on-time 87.5% of the time, while the train is on-time 90% of the time.

3. The graph y = x2 - 3 is translated down 6 units. What would be the new function rule? Y=8² - 9 À​

Answers

Answer:

a= −1/9y+64/9

What is the solution to the equation

Answers

Answer:

n=1

Step-by-step explanation:

4/5n-3/5=1/5n

4n/5-3/5=1/5n

4n/5-3/5=n/5

4n-3/5=n/5

4n-3=n

-3=n-4n

-3=-3n

1=n

n=1

Answer:

n=1

isolate the n's on one side and isolate the 3/5 to the other

4/5n-1/5n = 3/5

3/5n = 3/5

n=1

Find the measure of C to the nearest tenth of a degree

Answers

81.2 mostly likely will me the answer

Find the cost of cat food for a 29-day supply, a 30-day supply, and a 31-day supply

Answers

Answer:

not a complete question..

Step-by-step explanation:

Can someone plzzz helppp meee!!!

Answers

Answer:

Step-by-step explanation:

NEED HELP!! 50 points!!!

Answers

Answer: 3, The initial velocity of the rocket

Answer:

the initial velocity of the rocket

Step-by-step explanation:

A local hamburger shop sold a combined total of 711 hamburgers and cheeseburgers on Monday. There were 61 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?

Answers

Answer:

772 hamburgers sold on monday

Step-by-step explanation:

add the problem

Steves pattern: 4, 25, 130, 665. what is steves pattern?

Answers

Answer: (4+1)*5=25; (25+1)*5=130; (130+1)*5=655.

Step-by-step explanation:

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