Two numbers have a sum of - 6 and a product of 9.
Use the quadratic equation n^2 - 6n + 9 = 0 to determine the two numbers.
n2 - 6n + 9 = 0

Answers

Answer 1

Answer:

3, 3

Step-by-step explanation:

[tex]n^2 - 6n + 9 = 0 \\ n^2 - 3n - 3n+ 9 = 0 \\ n(n - 3) - 3(n - 3) = 0 \\ (n - 3)(n - 3) = 0 \\ n - 3 = 0, \: \: n - 3 = 0 \\ n = 3, \: \: n = 3[/tex]

Thus, the two numbers are 3, 3


Related Questions

can someone help i dont know any of these formulas

Answers

s.a=C.A xH

v of n.o.2 =lxwxh

Step-by-step explanation:

v of no.3=πr2h and s.a=πdh

no.1=area of cross section x area of all faces and v=area of cross section x length

try those ones

During lunch someone says that he heard that lavender oil cures migraines. This is an example of _____.

A.) inferential statistics
B.) descriptive statistics
C.) a dependent variable
D.) an independent variable

Answers

i think i
the answer is d and if it’s more i’m so sorry

Answer:

The answer is D

Step-by-step explanation:

I just took the quiz.

Figure A to figure B?

Is that right?

Answers

Answer:

d

Step-by-step explanation: cause thats the only answer that will maked sense

Workers inc just brought 14 boxes of pens to put in their storage. Each box contains 40 pens. If each of the 40 employees takes 2 pens how many will be left in the storage room?

Answers

Answer:

480

Step-by-step explanation:

The computation of the number of pens left in the storage room is shown below:

The total number of pens purchased is

= 14 boxes × 40 pens

= 560

ANd, the total pens take by the employee

= 40 employees × 2 pens

= 80

So, the remaining pens left is

= 540 - 80

= 480

A bag contains 3 red marbles(R), 5 green marbles(G), 2 black marbles(B), and 1 white marble(W). A marble is drawn from the bag and then replaced 30 times. What is the experimental probability of drawing a red marble

Answers

Answer:

Number of R marbles=3.

Number of G marbles=5

Number of B marbles=2

Number of W marbles=1

after this then you add the marbles together ,

which will give you 11.

number of marbles\ total number of R marbles

3÷11

Alyssa attends football games at her school. At each football game, she buys a bottle of water for $0.75 and a candy bar for dollars. Select all expressions that represent the amount of money, in dollars, Alyssa spends after attending 6 football games.Immersive Reader (10 Points) 6(0.75)() 6(0.75) + 6() 6 + 0.75 + x (6 + 0.75)(6 + )

Answers

DO NOT CLICK THE LINK THE OTHER PERSON WHO ANSWERED SAID. PLEASE DONT

Pls help
Pls help
Pls help

Answers

Answer:

[tex]153\ in^2[/tex]

Step-by-step explanation:

1. Approach

Divide the given figure up into two simple figures, a trapezoid, and a rectangle. Calculate the area of each figure by using their respective area formula. Then add up the results to get the value for the area of the entire figure.

2. Area of the trapezoid

The first figure is a trapezoid, calculate its area by using the following formula,

[tex]A_t= \frac{b_1+b_2}{2}(h)[/tex]

Where parameters ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the base of the trapezoid, and ([tex]h[/tex]) represents the height. Substitute in the given values and solve.

[tex]A_t = \frac{16 + 5}{2}(10)[/tex]

Simplify,

[tex]=\frac{21}{2}(10)[/tex]

[tex]=10.5(10)[/tex]

[tex]=105[/tex]

3. Area of the rectangle

The other figure formed by the partition of the two figures is a rectangle. The formula to find the area of a rectangle is the following,

[tex]A_r =(b)(h)[/tex]

Where ([tex]b[/tex]) represents the base of the figure, and ([tex]h[/tex]) represents the height of the figure. Substitute in the values for the given parameters and solve,

[tex]A_r=(16)(3)[/tex]

Simplify,

[tex]=48[/tex]

4. Find the total area

Now add up the values for the area of each figure. The result will be the total area of the figure,

[tex]A_t + A_r = A[/tex]

Substitute,

[tex]105 + 48 = A[/tex]

Simplify,

[tex]153 = A[/tex]

The circle graph shows how Tremaine divided his time on the computer last week Tremaine's Computer Time Games 25% Homework 20% Research 5% Other 10% Social media 40% Tremaine used the computer a total of 30 hours last week. How many more hours did Tremaine use the computer to play video games than to do research? 6 hours 20 hours 7.5 hours • 15 hours

Please explain ​

Answers

Answer:

maybe 2.9 hours

Step-by-step explanation:

The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit:total of the monthly payments=3:5 she makes 6 equal monthly payments. Work out her monthly payment

Answers

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

The deposit is of x.The total of monthly payments the remainder, that is, 2400 - x.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

What are the solutions of the equation (x - 3)2 + 2(x - 3) - 8 = 0? Use u substitution to solve.
Ox= -5 and x = 1
O x= -1 and x = 5
O x= -1 and x = -7
Ox= 1 and x = 7

Answers

Given:

The equation is:

[tex](x-3)^2+2(x-3)-8=0[/tex]

To find:

The value of x.

Solution:

We have,

[tex](x-3)^2+2(x-3)-8=0[/tex]

Substitute [tex]x-3=u[/tex].

[tex]u^2+2u-8=0[/tex]

Splitting the middle term, we get

[tex]u^2+4u-2u-8=0[/tex]

[tex]u(u+4)-2(u+4)=0[/tex]

[tex](u-2)(u+4)=0[/tex]

Using zero product property, we get

[tex]u-2=0\text{ and }u+4=0[/tex]

[tex]u=2\text{ and }u=-4[/tex]

Now, substitute [tex]u=x-3[/tex].

[tex]x-3=2\text{ and }x-3=-4[/tex]

[tex]x=2+3\text{ and }x=-4+3[/tex]

[tex]x=5\text{ and }x=-1[/tex]

Therefore, the correct option is b.

The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

Quadratic equation

From the question, we are to determine the solution of the given equation

(x - 3)² + 2(x - 3) - 8 = 0

First, we will expand the equation and clear the brackets

[tex](x - 3)^{2} + 2(x - 3) - 8 = 0[/tex]

[tex](x - 3)(x - 3) + 2(x - 3) - 8 = 0[/tex]

[tex]x^{2} -6x + 9 +2x - 6 - 8 = 0[/tex]

Simplifying

[tex]x^{2} -4x - 5 = 0[/tex]

Factorizing, we get

[tex]x^{2} -5x +x- 5 = 0[/tex]

[tex]x(x-5)+1(x- 5) = 0[/tex]

[tex](x+1)(x-5)= 0[/tex]

Then,

x + 1 = 0 or x - 5 = 0

x = -1 or x = 5

Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

Learn more on solving Quadratic equations here: https://brainly.com/question/8649555

Look at the given figure. If the triangles are congruent, give the theorem. If not, select not congruent.

a) SSA
b) SSS
c) SAS
d) Not Congruent

Answers

Answer:

A. SSS

Step-by-step explanation:

Enter the correct answer in the box.
Solve this system of equations.

y=2x-5
y=-2x+3


x=
y=

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

2, -1

Step-by-step explanation:

please please do a step by step of how to solve the equation and the answer! please and thank you!

Answers

Answer:

Value of x using quadratic formula (x = -4) and (x = -5)

Step-by-step explanation:

Given:

Equation

x² + 9x + 20 = 0

Find:

Value of x using quadratic formula

Computation:

Quadratic formula = [-b±√b²-4ac] / 2a

Given equation;

x² + 9x + 20 = 0

a = 1 , b = 9 , c = 20

By putting value

[-9±√9²-4(1)(20)] / 2(1)

[-9±√81-80] / 2

[-9±√1] / 2

(-9 + 1) / 2 , (-9 - 1) / 2

-8 / 2 , 10 / 2

-4 , - 5

Value of x using quadratic formula (x = -4) and (x = -5)

PLEASE HELP ASAP NO LINKS PLEASE An employee works as a veterinary assistant at a clinic making $31,840 per year. However, the clinic is hiring veterinarians at a salary of $72,100 per year. The employee went back to school to become a veterinarian. How much more money could the employee make working as a veterinarian instead of a veterinary assistant over 5 years? Enter your answer in the box.

Answers

Answer: 40,260

Step-by-step explanation:

72,100-31,840=40,260

Answer:

201,300

Explanation

I got 100 so no worries

Please help due in 5 minutes

Answers

Answer:

18,24,30

Step-by-step explanation:

hope this helps

Answer:

c

Step-by-step explanation:

because that the hypotenuse 30 adjacent 18 and opposite 24

PLEAAASEEE ANSWER HELP
DONT ANSWER WITH LINKS PLEzeee

Answers

Answer:

See below

Step-by-step explanation:

Parallel lines have the same slope.

13) The slope would still be 2/3

14) The slope would still be 9/5

hey cutie pls help me thank u !!

f(x)= 2x-1
g(x)=3x
h(x)=x^2 + 1

Compute the following:
Find f(3)

Choose the best answer
A)9
B)5
C)10​

Answers

f(3)=5 // f(3)=2(3)-1 = 5

Solve each system of equations by graphing.
y = 2x
y = x + 1

Answers

Step-by-step explanation:

The system of linear equations are , (i) y = 2x and (ii) y = x + 1 . We will find some coordinates and then we will plot its graph. The point where both Graphs will meet will be the solution of the graph .

• Finding coordinates of Equⁿ (i) :-

Step 1 : Put x = 0 :-

[tex]\tt y = 2x = 2(0) = \red{0}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = 2x = 2(1) = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 0 & \tt 2 \end{array}}[/tex]

_________________________________

• Finding coordinates of equⁿ (ii) :-

Step 1 : Put x = 0 :-

[tex]\tt y = x + 1 = 1 + 0 = \red{1}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = x + 1 = 1 + 1 = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 1 & \tt 2\end{array}}[/tex]

Now plot these points on the graph Taking appropriate scale . Refer to the attachment in graph . From graph the Solution is (1,2) .

PLEASE HELP AND EXPLAIN HOW TO DO THIS

Find Sn for the given geometric series.

1=0.11, 5=895.956875, =9.5

Answers

Answer:

1001.35

Step-by-step explanation:

Assuming  

n

=

5

for which sum to be found.

We know sum of geometric series up to  

n

th term is

S

n

=

a

1

r

n

1

r

1

Here  

a

1

=

0.11

,

r

=

9.5

,

n

=

5

S

5

=

a

1

r

5

1

r

1

=

0.11

9.5

5

1

9.5

1

1001.35

[Ans]

The correct answer is 1001.35

Picture included write in the simplest form

Answers

2/27
It’s the fraction 2/27

simplify 10^7*10^5 Thank you

Answers

Answer:

1000000000000 is the answer.

Step-by-step explanation:

you would raise 10 to the power of 12 so the answer would be 1000000000000

4y - 18 = 20
Y=
PLEASE HELP!!!!!!!

Answers

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

Get 20 points.The square root of 144 is 12, because12 x 12 = 144. The square root of 169 is 13, because
13 x 13 = 169. Which expression will give the closest approximation to the square root of 156?

Answers

Answer:

A

Step-by-step explanation:

I took the assignment before hand thats the answer.

The diameter of a golf ball is approximately 2 inches. What is its volume?
Round your answer to the nearest whole number.
O A. 4in3
O B. 8 in3
O c. 33 in3
O D. 18 in3

Answers

Answer:

4in^3

Step-by-step explanation:

If c is a positive number, how many solutions does √x = c have? Explain.

Answers

Answer:

varied

square root of number never result negative number

Step-by-step explanation:

There will only be one real solution.

If [tex]x[/tex] is a real number, the square root function [tex]\sqrt x[/tex] will only have real solutions when [tex]x\ge0[/tex].

For [tex]x<0[/tex], we get imaginary solutions.

Also, when [tex]\sqrt x> 0[/tex], [tex]x>0[/tex]

In other words, when the square root of [tex]x[/tex] is a positive real number,  [tex]x[/tex] will be a unique positive number.

We can see this when trying to solve the equation given in the question

So, the equation

[tex]\sqrt x=c[/tex]

where [tex]c>0[/tex], when solved, will give

[tex]\sqrt x=c\\(\sqrt x)^2=c^2\\x=c^2[/tex]

We will have a unique solution because squaring a positive real number gives a single result.

Learn more here: brainly.com/question/24117016

Shakir has relatives in Ottawa, Canada. His aunt told him that the average temperature in April is 8.6°C higher than it is in March. She also said that the average temperature in February is −11.8°C.


If the average temperature in April is 3.8°C, how much colder is the average temperature in February than the average temperature in March?

a
It is 7°C colder.
b
It is 4.8°C colder.
c
It is 3.2°C colder.
d
It is 24.2°C colder.

Answers

Answer:

Step-by-step explanation:

did u get the answer?//

yo i need help please i can’t fail please help me i’ll even give u a brainliest

A: 36 cubic cm
B: 339.12 cubic cm
C: 113.04 cubic cm
D: 678.24 cubic cm

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the volume of the cone is

V=  πr²[tex]\frac{h}{3}[/tex]

HELP MEEEEE I REALLY NEED HELP

Answers

Answer:

they are vertical angles

Step-by-step explanation:

they are vertical angles.

there are 12 erasers packaged in 3 boxes how many erasers are packaged in 4 boxes

Answers

48.....
.........................

Answer: 16

Step-by-step explanation:

OMG OMG THE MISS IS ASKING ME THIS AUESTION BEFORE MY OTHER CLASSMATE PLS HELP FAST IM CRYING AND SHAKING I CANT TYPE TOO PLEASEEE

Answers

They are the same

Step-by-step explanation:

Explanation: 3/4 and 6/8 are equal

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