Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to find the largest or smallest possible values for the sum of X and Y.

Directions: Using The Digits 1 To 9, At Most One Time Each, Fill In The Boxes To Find The Largest Or

Answers

Answer 1

9514 1404 393

Answer:

  smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8

  largest: 1x -9 = 8; 2y +3 = 7. total = 19

Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

ax -b = cdy +e = f

Then the values of x and y are ...

  x = (c +b)/a

  y = (f -e)/d

For positive integer values of the variables, x will always be positive, and y may or may not be negative.

Smallest sum

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

8x -3 = 4   ⇒   x = 7/81y +9 = 2   ⇒   y = -7

For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

Largest sum

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

1x -9 = 8  ⇒   x = 172y +3 = 7   ⇒   y = 2

For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

Additional comment

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

Answer 2

Answer:

Smallest: 8x-3=4; 1y+9=2. total= -49/8

Largest: 1x-9=8; 2y+3= 7. total= 19

Step-by-step explanation:

#CARRYONLEARNING
Directions: Using The Digits 1 To 9, At Most One Time Each, Fill In The Boxes To Find The Largest Or

Related Questions

Which is an asymptotic of the graph of the function y=cot [x- 2pi/3]

Answers

Answer:

B

Step-by-step explanation:

The asymptote of the function [tex]y = cot(x - \frac{2\pi}{3})[/tex] is at x = - π/3.

What are periodic functions?

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

We know, tan = sin/cos.

Hence 1/tan = cos/sin = cot.

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Given, A function [tex]y = cot(x - \frac{2\pi}{3})[/tex].

At, x = - π/3.

Therefore, [tex]y = cot(\frac{\pi}{3} - \frac{2\pi}{3})[/tex].

[tex]y = cot(-\pi)[/tex], Which is undefined.

learn more about asymptotes here :

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PLEASE HELP i dont know the answer for: Chose an equivalent ratio 15 cats to 20 dogs. choices: A. 4 to 5. B. 3 to 4. C. 3 to 5. D. 10 to 15.

Answers

Answer:

D 10 to 15 is the answer correct

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Answer:

multiply all sides (5.5 x 6 x 8.5) which results to 261.5 ft squared

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i don’t know mannmmnnndjj xjhdjajji

Which of the following are the domain and range that represent the inverse of the function f(x), given the mapping diagram of f(x) below? 1 AWN O 2. 4 6 8​

Answers

Answer:b

Step-by-step explanation:

- 12. What is the greatest common factor of 120 and 84?
e.
a. 3
b. 6
12
18
d.

Answers

Answer:

12 (the third one is the greatest common factor of 120 and 84)

Answer:

12

Step-by-step explanation:

factors of 120. 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,80,120

factors of 84: 1,2,3, 4,6,7,12,14,28,42,84

greatest common factor=12

HIGHSCHOOL GEOMETRY
LAWS OF COS/SIN
please help
it also says that it is acute, and I dont know how to factor that into my answer​

Answers

Answer:

B = 75°

Step-by-step explanation:

Using the Sine rule:

a / sin A = b / sin B = c / Sin C

a / sin A = b / sin B

20 / sin 48 = 26 / sin B

Cross multiply :

Sin B * 20 = sin 48 * 26

Sin B = (sin 48 * 26) / 20

Sin B = 0.9660882

B = sin^-1(0.9660882)

B = 75.036

B = 75°

Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. The local Tupperware dealers earned these commissions last month: $1077.28, $2661.13, $4642.11, $4264.15, $1019.55, $3444.20, $2525.92, $3740.26, $3533.07, $1633.84 What was the mean commission earned? Round your answer to the nearest cent.

Answers

Answer:

the  mean commission earned is 2854.15

Step-by-step explanation:

The computation of the mean commission earned is shown below'

The mean is  

= ($1077.28 + $2661.13 + $4642.11 + $4264.15 + $1019.55 + $3444.20 + $2525.92 + $3740.26 + $3533.07 + $1633.84) ÷ 10

= 2854.15

Hence, the  mean commission earned is 2854.15

The same should be considered and relevant

Find Z for the following sequence:
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Answers

Answer:

77

Step-by-step explanation:

as far as I can tell the steps between the given numbers are

-1

+4

-27

+16

1 can be expressed as 1³

4 can be expressed as 2²

27 can be expressed as 3³

16 can be expressed as 4²

my best guess is that next one is minus 5³ = -125

edit: technically the given steps can be expressed as

(-1)³

(-2)²

(-3)³

(-4)²

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Answers

The accounting equation also called the balance sheet equation represents the relationships between the assets,liabilities etc
I agree with what the other person said

Sarah can do 68 push ups in 4 minutes . At this rate how many push ups can she do each minute?

Answers

Answer:

Sarah can do 17 push-ups each minute.

Step-by-step explanation:

4 minutes = 68 push ups

68  divided by 4 = 17 push ups

1 minute = 17 push ups

- Leona Bahr is paid a commission of 12% on all sales above $7,000 for the week. She is also paid a weekly salary of $380. What are her total earnings for a week in which her sales were $9,800?

Answers

Answer:

716

Step-by-step explanation:

9800-7000=2800 sales over 7000

2800 x .12=336 commission

380 (salary) + 336 (commission)=716 Total earnings

Quadratic

4x2+8x+27=88

Answers

Answer:

Step-by-step explanation:

Answer:

4x²+8x+27=88

[tex]x = \frac{2 - \sqrt{65} }{2} \\ x = \frac{2 + \sqrt{65} }{2} \\ [/tex]

x= 3.03 , –5.03

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Answers

Answer:4 hours

Step-by-step explanation:

7 divided by 5= 1.4

1.4x4=5.6

11x+x^2= 2y
Y + x = 19

Answers

Answer:

x = -15,46 thì y ≈ 34,46

x = 2,46 thì y ≈ 16,54

Step-by-step explanation:

x + y = 19 => x = 19 - y (1)

thay x = 19 -y vào phương trình 11x + x^2 = 2y ta có:

11 * (19 - y) + (19 - y)^2 =2y

=> 209 - 11y + 361 - 38y + y^2 = 2y

=> y^2 - 51y + 570 = 0

=> y ≈ 34,46 và y≈16,54

thay y ≈ 34,46 vào phương trình (1) có:

x = 19 - 34,46 = -15,46

thay y ≈ 16,54 vào phương trình (1) có:

x = 19 - 16,54 = 2,46

Answer:

Step-by-step explanation:

11x+x^2= 2y

Y + x = 19

Multiply and re-arrange second equation:

2y = 38 - 2x

Substitute into first equation:

11x + x^2 = 38 - 2x

Re-arrange:

x^2 + 13x - 38 = 0

Solve using quadratic formula:

x = (-13+(13^2-4*(-38))^(1/2))/2 or (-13-(13^2-4*(-38))^(1/2))/2

x = 2.46 or -15.46

Substitute back to solve for y:

y = 19 - 2.46 or 19 + 15..46

y= 16.54 or 34.46

Can someone help me? Question attached, 20 points.

Answers

Answer:

6

Step-by-step explanation:

[tex]V = A * b = 5A[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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The answer to this question is:

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I did this online and got this hope this helps

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Answers

Answer:

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Step-by-step explanation:

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

Answer:

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Step-by-step explanation:

ur welcomeeeee ;)

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Answers

Answer:

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Step-by-step explanation:

Answer:

x=20.7

Step-by-step explanation:

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Answers

NEED A BETTER PICTURE FRIEND :)

Answer:

can you please put a better picture?

help please i need it

Answers

9514 1404 393

Answer:

the shape is a trapezoiduse the area formula48783 mm²

Step-by-step explanation:

The top and bottom edges are parallel, and the shape has 4 sides. That means it is a trapezoid. The area can be found using the formula for the area of a trapezoid:

  A = 1/2(b1 +b2)h

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A.3 1/4
B.1 3/4
C.2 1/4
D.3/3

Answers

The answer is A 3 1/4 hope that helped

Answer:

A. 3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Can anyone solve this?

Answers

Answer:

They are congruent

Step-by-step explanation:

The reason that WK is congruent to WL is because both come from the same origin of W and they both end up in the same place on their side. Which means if WK and WL are congruent, that means that AK and AL are congruent as well.

solve
(3431​)−2/3÷(491​)3/2

a. 16807
b.343
c.49
d.2401​

Answers

Try photo math it is very helpful

Student spend 5 minutes of every 60 minutes at school moving from class to class. Which fraction is equivalent to the number of minutes student spend moving from class to class?

Answers

Answer:

10/120

Step-by-step explanation:

Which choice is equivalent to the fraction below when x is an appropriate
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4
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A. 8+226x
16 - 6x
B. 8+ 2162
846
C.
2 + V6
4- 6x
D. 8. 216
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UN

Answers

1. 8^3 * 8^2, 8^5, and (2^3)^5

2. 6^9, and 6^5 x 6^4

Answer:

8+2√6x / 8-3x

Step-by-step explanation:

yes

An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport. What angle of depression does the airplane need to use to reach the runway?

Answers

Given :

An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.

To Find :

What angle of depression does the airplane need to use to reach the runway?

Solution :

Let, angle of depression is [tex]\theta[/tex] .

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