1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Veseljchak [2.6K]
3 years ago
7

What numbers multiply to 6 and add up to 9

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0
Xy = 6
x + y = 9

     x + y = 9
x - x + y = -x + 9
           y = -x + 9

                                          xy = 6
                                x(-x + 9) = 6
                            x(-x) + x(9) = 6
                                 -x² + 9x = 6
                            -x² + 9x - 6 = 0
              -1(x²) - 1(-9x) - 1(6) = 0
                       -1(x² - 9x + 6) = 0
                                 -1           -1
                             x² - 9x + 6 = 0
                             x = -(-9) ± √((-9)² - 4(1)(6))
                                                 2(1) 
                             x = 9 ± √(81 - 24)
                                            2
                             x = 9 ± √(57)
                                        2
                             x = 4.5 ± 0.5√(57)

                       x + y = 9
   4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57))    - (4.5 ± 0.5√(57))
                             y = 4.5 ± 0.5√(57)
                       (x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))

The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).
You might be interested in
Use the product-to-sum identities to rewrite the following expression as a sum or difference.
PtichkaEL [24]
Answer:

= cos4x

Explanation:

cosAcosB = [cos(A-B)+cos(A+B)]

Given: 2cos(2x)cos(2x)

= 2[cos(2x-2x)+cos(2x+2x)]

= 2cos4x^2
3 0
3 years ago
hey, do any of you guys know how to plot functions on a graph. You know like f(X) and g(X)? I find it really hard and also do yo
Tpy6a [65]
It helps if you have an example, like f(x) = 2x+3
What you typically do, is:

- draw xy axis, label them (ie., 1,2,3,4 along both axes)
- calculate the f(x) values for several x (e.g., -2, 0, 1, 3, doesn't matter).
- plot the calculated values as points. The calculated f(x) is your y value.
- sketch a smooth line through the points. It helps if you know in advance if the line is going to be straight or curved. 
- The more points you calculate, the more accurate your graph will be
3 0
3 years ago
Investment of $2000 at 10% simple interest for 9 years
Oliga [24]

Answer:

The last investment (C) has the least interest of $600

The other two investments (A and B) have the <u>same</u> amount of interest of $1800.

Step-by-step explanation:

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

<u>Investment A</u>

  • P = $2000
  • r = 10% = 0.1
  • t = 9 years

Substitute the given values into the formula and solve for I:

⇒ I = 2000(0.1)(9)

⇒ I = $1800

<u>Investment B</u>

  • P = $3000
  • r = 3% = 0.03
  • t = 20 years

Substitute the given values into the formula and solve for I:

⇒ I = 3000(0.03)(20)

⇒ I = $1800

<u>Investment C</u>

  • P = $2000
  • r = 10% = 0.1
  • t = 3 years

Substitute the given values into the formula and solve for I:

⇒ I = 2000(0.1)(3)

⇒ I = $600

The last investment (C) has the least interest of $600.

The other two investments (A and B) have the <u>same</u> amount of interest of $1800.

8 0
1 year ago
Help quick please you don’t have to show work
Ahat [919]

Answer:

2nd

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the area of the rectangle.<br> (8x + 5) yards<br> (8x - 5) yards
Zepler [3.9K]

Answer:

48x-5

Step-by-step explanation:

multiply

5*8x

to get

8x+40x-5

combine like term

48x-5

7 0
2 years ago
Other questions:
  • What is the $x$-intercept of the line perpendicular to the line defined by $3x-2y = 6$ and whose $y$-intercept is 2?
    9·1 answer
  • The two fastest time in the past 20 years for the girls' 200-meter run at Clarkville Elementary School are 27.97 seconds and 27.
    9·1 answer
  • the population of california is about 39 million . is this greater that or less than 10 with exponted 7
    11·1 answer
  • A garden measuring 12 meters by 6 meters is going to have a walkway constructed all around the perimeter, increasing the total a
    12·2 answers
  • Which describes the correlation shown in the scatterplot?
    11·2 answers
  • Find the surface area of the triangle in person be sure to include the correct unit in your answer
    5·1 answer
  • 1.0*10^-11 + 1.0 x 10^-8
    6·1 answer
  • SPARK in Dallas requires a school to send 2 adults for every 20 students who visit for a field trip. If a school send 13 adults,
    9·1 answer
  • Simplify this expression.<br> 2/5(13 + 2)O 2/65 + 2/100 2/5 +28726765 +2710O 2675 +2710
    15·1 answer
  • Help please and thank you no bots please
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!