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

Answer:

1000000000000 is the answer.

Step-by-step explanation:

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

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) .

Answer:

4in^3

Step-by-step explanation:

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]

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

Answer:

The answer is D

Step-by-step explanation:

I just took the quiz.

Answer: 16

Step-by-step explanation:

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

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

Answer:

Step-by-step explanation:

did u get the answer?//

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.

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

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

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:

Answer:

maybe 2.9 hours

Step-by-step explanation:

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

They are the same

Step-by-step explanation:

Explanation: 3/4 and 6/8 are equal

Answer:

they are vertical angles

Step-by-step explanation:

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)

Answer:

d

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

Answer: 40,260

Step-by-step explanation:

72,100-31,840=40,260

Answer:

201,300

Explanation

I got 100 so no worries

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]

Answer:

A. SSS

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the assignment before hand thats the answer.

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]

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.

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

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