What numbers multiply to 6 and add up to 9

Answers

Answer 1
Answer: 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).

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There are 81 members in the marching band. The director wants to arrange the band members in rows and columns so that there are an equal number of people in each row and column. How many rows and columns would there be? ________ rows ________ columns

Answers

9 rows and 9 columns
81 is a perfect square root

√(81) = +/- 9
we take away the negative value

simply 9 rows and 9 columns.

If the family decides to reduce its clothing budget by $200 a month, how much will the new clothing budget be? Round to the nearest dollar.$161

$853

$970

$1,170

Answers

Answer:

The question is incomplete, below is a possible match to the complete question:

The Chambers family has a net monthly income of $6,500. A circle graph titled Chambers Family Budget. Housing is 25 percent, Food is 20 percent, Savings is 7 percent, Transportation is 12 percent, medical is 10 percent, clothing is 18 percent, emergency fund is 8 percent. If the family decides to reduce its clothing budget by $200 a month, how much will the new clothing budget be? Round to the nearest dollar.

$161

$853

$970

$1,170

The correct answer is $970

Step-by-step explanation:

To calculate the old budget for clothing, let us first convert from percentage to monetary value, and this is done as follows:

Clothing = 18% of monthly income

where: monthly income = $6,500

∴ clothing = 18/100 × 6,500

= 0.18 × 6,500 = $1,170

old budget = $1,170

If the family decides to reduce its clothing budget by $200 a month, the new budget will be:

New budget = old budget - $200

= 1,170 - 200 = $970.

Therefore, the new budget will be $970

Answer:

C. $970

Step-by-step explanation:

edge 2021

Simplify a - {b - [c - (d - e) - f] - g}.a + b + c - d + e - f + g
a - b + c - d + e - f + g
a + b + c + d + e - f + g
a - b + c - d + e + f - g

Answers

Answer:

a - b + c - d + e - f + g

Step-by-step explanation:

We know that,

(-)(-) = (+),

(-)(+) = (-),

(+)(-) = (-)

(+)(+)=(+)

Now,

Here, the given expression is,

a - \{b - [c - (d - e) - f] - g\}

a-\{b-[c-d+e-f]-g\}

a-\{b-c+d-e+f-g\}

a-b+c-d+e-f+g

Hence, Second option is correct.

 a - {b - [c - (d - e) - f] - g} 
= a - {b - [c - d + e - f] - g} 
= a - {b - c + d - e + f - g} 
= a - b + c - d + e - f + g.
so ur answer is the third one C there all equivalent so the last one is the answer choice so there u go

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?

Answers

Answer:

0.11mm/day

Step-by-step explanation:

We are given that

A particular is eroding at the rate=4 cm/ year

We have to convert this rate on milimeters per day.

We know that

1 year=365 days

1 cm=10 mm

Rate=(4* 10)/(365)

Rate=0.1096=0.11 mm/day

Answer:0.11 mm/day

4 cm/year * 10mm/cm * 1year/365day ≈ 0.11 mm/day

Using the figure above, if< A  = <D, then< B ___ <E. Choose the relationship symbol that makes the statement true.

Answers

Answer:

The relationship symbol that makes the statement true is '>'.

Step-by-step explanation:

Given,

In triangles ABC and EDF,

∠A = ∠D

Since, the sum of all interior angles of a triangle is supplementary,

⇒ ∠A + ∠B + ∠C = 180° and ∠D + ∠E + ∠F = 180°

⇒ ∠A = 180° - ∠B - ∠C and ∠D = 180° - ∠E - ∠F,

By substituting the values,

180° - ∠B - ∠C = 180° - ∠E - ∠F

- ∠B - ∠C = - ∠E - ∠F

∠B + ∠C =  ∠E + ∠F

∠B + 20° =  ∠E + 30°  ( given ∠C = 20° and ∠F = 30° )

∠B  =  ∠E + 10°  

∠B > ∠E

Hence, the relationship symbol that makes the statement true would be '>'.

0.77,0.077
7.7,0.7
to GREATEST
least​

Answers

7.7, 0.77, 0.7, 0.077