Find two numbers whose difference is 16 and whose product is a minimum. (Enter your answers as a comma-separated list.)

Answers

Answer 1

Answer:

8, -8

Step-by-step explanation:

  Let's say that x is the larger number,

x - y = 16

y = x - 16

xy = P  where P is a minimum  

x(x-16) = P.  

(We can find the vertex, which is the minimum, by writing it in vertex format)  

  Completing square:  

x2 - 16x = P  

x2 - 16x + 64 = P + 64  

(x - 8)2 = P + 64.

 So,

x = 8 and -8

(8 - -8 -> 8 + 8 = 16)

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather


Related Questions

Can you explain how to solve this problem, already know the answer

Answers

So, the slope is -3/5, and the y axis is unidentified.

A point is located at (6,-5). We will use this point.

In order to get the y-axis, we will use 5 from the slope because the denominator allows us to move left and right.

We will also use 6 from the point to give us a dot in the x-coordinate.

We will then divide 5 from the 6 to give us how much we have to go up or down

6/5

We will then use the -3 in the slope.

We will times -3 to the 6/5 in order to know how much we have go up or down.

-18/5 + 5 (from the point)((and since we are moving back, we will add a negative) (My problem))= 1 2/5 (y-intercept)

y = -3/5x + 1 2/5

The y = 13, we will plug it in the equation.

13 = -3/5x + 1 2/5 (subtract 1 2/5 on both sides)

11 3/5 = -3/5x (times 5 on both sides)

-3x = 58 (divide -3 on both sides)

x = -58/3

Meaning of =N

please

Answers

hope it is helpful to you please follow give brainliest answer

your ans. in above pic

Write the equation of the line from the graph.​

Answers

Answer: x=-5

Step-by-step explanation:

Graph has no y intercept, thus has to be equal to x, and since its -5... x=-5 is your answer

Answer: X= -5

Step By-Step explantation:

Please help me with this question.

Answers

Answer:

The answer would be 6.66666666667 to be exact or just 6.66.

-Herobrine

Brainliest will be appreciated thank you!

Answer:

6.6 or 6.66

Step-by-step explanation:

1/2 (x + 8) - 15 = - 3

Answers

Answer:

x=16

Step-by-step explanation:

Heres the work below

Hope this Helps

What is 20 dived by 5 +19-6

Answers

Answer:

17

Step-by-step explanation:

20 divided by 5 + 19 - 6

20 divided by 5 = 4

4 + 19 = 23

23 - 6 = 17

How much is 25% of a 4 gallon jug of milk?

Answers

the answer is 1 because .25x4=1

Answer:

1 gallon

Step-by-step explanation:

4 / 4 = 1

(because 25% is 1/4 of 100%)

:)

Alyssa fed her dog 2/3 cup of dog food in the morning and another 5/8 cup in the evening. How much did her dog eat over the course of the day? Write your answer as a mixed number​

Answers

1 7/24 is the correct answer I will show you how to get it if needed.

Answer:

1  7/24

Step-by-step explanation:

2/3 x 8/8= 16/24

5/8 x 3/3= 15/24

31/24 = 1 7/24

0(-7) helppppppppppppppppppppp

Answers

Answer:

0

Step-by-step explanation:

anything multuplied by 0 is 0

find the percentage change and classify as an increase or decrease

2004 cost: $18.77
2006 cost: $19.17

Answers

Answer:

this is 2% increase

Step-by-step explanation:

to find percent change,

big - small

---------------

original

19.17-18.77

-------------- = 0.021

18.77

round: 0.02 or 2%

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends feet per second. The elevator for the miners descends feet per second. One​ day, the equipment elevator begins to descend. After ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another second? At that​ time, which elevator is​ deeper?

The position of the equipment elevator relative to the surface is (blank) feet

Answers

Answer:

272

Step-by-step explanation: I had i

Work out the size of angle x

Answers

X = 13°

This is because the 85° opposite angle is part of the triangle, and the 98° is apart of a straight line (180°-98°=82°) in which the 82° is also apart of the triangle (because of the c pattern) and lastly as it is a triangle you just do 180°-(85°+82°) which equals 13°

Answer:

Opposite angles are equal

Corresponding angles are equal

Angles on straight lines adds to 180

Angles in triangle adds to 180

180-98=82

82+85=167

180-167=13

Answer is 13

Is ABC" ADEF? If so, identify the similarity postulate or theorem that

applies

15

A. Similar - AA

B. Similar - SAS

C. Similar - SSS

D. Cannot be determined

Answers

here is answer

- BRAINLIEST answerer

The ∆ABC ~ ∆DEF by AA similarity Criteria.

What is Similarity?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Two angles in ∆ABC and their equivalent angles in DEF are congruent.

Hence, it follows that the triangles' third pair of angles would likewise be similar.

So, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.

Then here the AA Similarity Criterion will be used.

Thus, ∆ABC ~ ∆DEF by AA Similarity rule.

Learn more about similarity here:

https://brainly.com/question/25502802

#SPJ7

What number does this Roman numeral represent? MCCLXXXVIII

Answers

Answer:

1280 is the answer. hope it helps you

Kate bought 5 pounds of hamburger and 2 pounds of hotdogs and paid $28.50. Eric bought half the amount of hamburger and a fourth of the amount of hotdogs that Kate did and paid $12.50. Find the cost per pound of hamburgers and hotdogs.

This is a system of equations

Answers

Answer:

hamburgers - $4.30 hotdogs- $3.50

The required cost of a hamburger and a hotdog is $4.3 and $3.5 respectively.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
Let the cost of the hamburger be x and the cost of hotdogs be y.
According to the quesiton,

5x + 2y = 28.50 - - - - (1)
5x /2 + 2y / 4 = 12.50
10x + 2y = 50 - - - -(2)
From equation 1 and 2
5x = 21.5
X = $4.3
Now,
5×4.3 + 2y = 28.50
y = 7 / 2
y = $3.5

Thus, the required cost of hamburgers and hotdogs is $4.3 and $3.5 respectively.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ2

Find an equation in standard form of the parabola passing through the points.

(2, −8), (3, −8), (6, 4)

Answers

192
Next time try to add more points bc i worked so hard to answer this

What is the coefficient of the term 5/3 xy?

A. 5xy

B. 5/3

C. 5

D. 1/3

Answers

The answer is A. Look at it and it’s seam like it is A.


Audrey and her sister found 9 dimes and 8 pennies. If they share the money equally, how much
money will each sister get?




Answers

Answer:

49 cents that is the answer

tell the answer of the last q i asked pls

q was :-(

Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?​

Answers

He spent on transport = 20%

spent on breakfast = 60/-

spent on lunch = 15%

remaining amount = 340

rs he spent on transport = 20/100 × 340 =68

rs he spent on lunch = 15/100 × 340 = 51

Therefore, total of his pocket money = 68 + 51 + 60 + 340

= ₹519

What is the value of -4 x ( 4 - 6 ) ?

Answers

Answer: 8

Step-by-step explanation:

What is the value of x?

Answers

Answer:

the answer is D

Step-by-step explanation:

75 plus 37 is 112 and 180 minus 112 is 68

Answer:

the value of x is 88

Step-by-step explanation:

what are complementry angles

Answers

Answer:

either of two angles whose sum is 90°

Hello there! :)

Complementary angles are angles that add up to 90 degrees.

Example:

34 and 56 are complementary angles.

Hope this helps!

~Just a gloomy teen

#CarryOnLearning

[tex]SilentNature \\:([/tex]

What is the value of x in the equation ?

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

This is our equation

[tex]2.5\left(6x-4\right)=10+4\left(1.5+0.5x\right)[/tex]

First off we can distribute the 2.5 and the 4

Now our equation is [tex]15x-10=10+6+2x[/tex]

subtract [tex]2x[/tex] from both sides

[tex]13x-10=16[/tex]

add [tex]10[/tex] to both sides

[tex]13x=26[/tex]

Divide both sides by [tex]13[/tex]

[tex]x=2[/tex]

what is the equation of a line when m=-7 and b=-8

Answers

Without seeing the equation i can assume it would be -7 (sign) -8 or -8 (sign) -7, -7/-8, -8/-7, and so on and so forth.

Susie has 5/8ths of a gallon of tea and needs to fill as many glasses as possible. If each glass holds 2/7ths of a cup, how many glasses can she fill? Hint: One gallon is the same as 16 cups. Pls hurry! Will mark brainliest.

Answers

Answer:

35 glasses

Step-by-step explanation:

Susie has 5/8 gallon = 5/8 * 16 = 10 cups

10 cups ÷ 2/7 cups per glass = 35 glasses

can some one help me pleaseeee :(

Answers

a) 5/8

b) 3/5

Hope this helps

W/11+10=10 w/11=0. W=

Answers

Answer:

w= 0

Step-by-step explanation:

a. 0/11+ 10= 10

0/11= 0

0+ 10= 10

b. 0/11= 0

i need answers please thanks

Answers

Answer:i need this pls

Step-by-step explanation:

Correct answer is B

A new school will have three playgrounds. Two playgrounds will be large and one playground will be small. The district administrator had 3 5/8 truckloads of concrete delivered for each of the two large playgrounds and 1 9/10 truckloads of cement delivered for small playground. If the cost of the concrete is $2,000 per 1/2 truckload, the concrete for the three playgrounds will cost $_____.


Blank options

-18,300

-22,100

-32,600

-36,600


plz help I don't understand this at all.

Answers

Answer:

you multiple two numbers and you devide both sides you get the answer

3 out of 20 apples are bad what percentage are bad​

Answers

Answer:

15% or 0.15

Step-by-step explanation:

3/20 = 0.15

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