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

Audrey made 3 water balloons for every 6 guests at the party. How many water
balloons will she need if there are 8 guests?

Answers

Answer:

4 balloons

Step-by-step explanation:

3:6= 1:2

2*3= no. of guest, 1*3= no. of balloons

SO

2*4 (8)= number so guests, and 1*4 (4)= number of balloons

Solve for x: 2(7x – 6) = 30

Answers

Answer:

X=3

Step-by-step explanation:

2 times 7x = 14x

2 times -6 = -12

14x-12=30

(+12)

14x=42

(÷14)

X=3

What is the mZQPT?

P Q R S T

Answers

Answer:

angle qpt equals 125

Step-by-step explanation:

QPT=60,RPS=45, and SPT=90-60=30

so its sum will be 125

Find an equation of the circle that has center (-6,2) and passes through (1,-2).

Answers

Answer:

(x+6)^2+(y-2)^2=65

Step-by-step explanation:

Answer:

Should be (x+6)^2+(y-2)^2=65

the number after the carrot represents an exponent

hope it helps

JoJo Seaweed walks at a constant rate of 8 ft in 2 s. The table shows the relationship of feet to seconds. What is the constant of proportionality for the relationship of feet to minutes? Record your answer on the grid. Then fill in the bubbles

Answers

Answer:

240 ft/min

Step-by-step explanation:

solve pls brainliest

Answers

Answer:5868<9845<91387<969156

Step-by-step explanation:

i have 7 bags with 2 marbles in each bags. then my friend have 10 bags with 2 marbles in each bag. how many more marbles does my friend have?

Answers

Answer:

your friend has 6 more marbles

Step-by-step explanation:

7×2=14

10×2=20

20-14=6

Answer:

6

Step-by-step explanation:

First you multiply 7 by 2 because there is 2 marbles in each bag and there is 7 bags so that is 14 marbles

Then you multiple 2 by 10 because there is 10 bags with 2 marbles each which is 20.

20-14=6

Can I get brainliest?

The Shanghai Maglev Train takes 8 minutes to travel a distance of 30.5 kilometres.

Work out the average speed of the train.

Answers

Answer:

228.75 km/h

Step-by-step explanation:

average speed = total distance / total time

The Average speed is 228.75 Km/h.

What is speed- Distance Formula?Speed = Distance/TimeDistance = Speed X Time, and Time = Distance / Speed,

Given:

Distance= 30.5 Km

Time= 8 min

       = 8/60 hr= 2/15 hour

Now, Average speed= Distance / time

                                  = 30.5 x 15/2

                                 = 228.75 Km/ h

Learn more about average speed here:

https://brainly.com/question/9834403

#SPJ2

Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2

Answers

Answer:

0.2,0.3,0.11,0.12

hope that helps

Answer:

0.11, 0.12, 0.2, 0.3

Step-by-step explanation:

Since the numbers are decimals, you can add as many zeros to the end of the numbers to make it easier. In this problem, add a zero to the end of 0.2 and 0.3, making them 0.20 and 0.30. This should make it easier. When you list the decimals from least to greatest, you should get 0.11, 0.12, 0.2, 0.3

I hope this helps!

If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win at most two out of five games in a series against the Rangers? Round your answer to the nearest thousandth.

Answers

Answer:

The chance that the Islanders will win n games out of 6 is:

0.47 ^ n + (1 - 0.47) ^ (6 - n) * 6! / n! / (6 - n!)

So, the chance of winning 4 games is 0.205605

the chance of winning 5 games is 0.072932

the chance of winning all 6 games is 0.010779

Adding these together we get 0.289316

Rounding to the nearest thousandth we get 0.289 (or 28.9%)

A line has a slope of 9 and a y-intercept of 8. What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer: y=9x+8

Step-by-step explanation:

y=mx+b

y=(slope)x+(y int)

just plug in

y=9x+8

slope^ ^y intercept

i'm so confused help me pelase

Answers

Answer:

Table 2

Step-by-step explanation:

We can solve this by dividing the number of pizzas at each table by the number of kids at each table.  This will tell us how much pizza each kid is able to eat:

Table 1:

2 pizzas/5 kids = 2/5 pizzas per kid = 0.4 pizzas per kid

Table 2:

3 pizzas/7 kids = 3/7 pizzas per kid = 0.429 pizzas per kid

Table 3:

5 pizzas/12 kids = 5/12 pizzas per kid = 0.417 pizzas per kid

The kids at table 2 are able to eat slightly more pizza than the kids at the other tables.

A car covered a certain distance at 24mph. While returning, the car covered the same distance at the speed of 16mph. What is the average speed of the car for the entire journey?

Answers

Answer:

19.2

Step-by-step explanation:

You have to trust me, this answer is correct. But here's my solution:

With the formula

Distance=Speed multiplied by Time, we can infer that Speed=Distance/Time.

But we only have one variable (Speed) in the two we need (Speed and Time), we have to pretend we have both variables. You can put the time as 1 hour because that's the most basic unit. Note that this strategy will also work with 2 hours, 3 hours, or any measure of time.

So now for distance, let's see how fast a car can travel 24 miles. When going at 24 mph, then it'll take 1 hour. With 16 mph, then it'll take 1 hour and 30 minutes, so 1.5 or 3/2 hours.  

Now we have the distance, which is 2 times 24 (Because the 24 mph and 16 mph both traveled 24 miles), equaling 48, and time, which is 1 hour plus 1.5 hours, which is 2.5 hours.

Now we use the formula Speed=Distance/Time, with 48/2.5=19 1/5 or 19.2

DUBS

(Please consider giving a Brainliest. I spent lots of time on this, and it's honestly the best answer out of all!)

I don’t get this question I’m stuck on it can someone help me please

Answers

Answer:

GH = 12 units

HJ = 12 units

JG = 12 units

Perimeter = GH + HJ + KG

= 12 + 12 + 12

= 24 units

What is y x y x y simplified

Answers

Answer:

y x y x y is simplified as y³

Step-by-step explanation:

Hoped this helped.

Answer:
Y x Y x Y is simplified as y^3

Hope this helps!!!

if we conduct 105 hypothesis tests at the 5% level, how many of them would be expected to be statistically significant just by chance alone

Answers

5.25
i think if my calculations r right

Please help! Due in two hours!

Answers

Answer:

-175.26

Step-by-step explanation:

[tex]log_2\frac{z^8x^{10}}{r^{12}}=8log_2(z)+10log_2(x)-12log_2(r)=8*4.42+22.9-12*19.46=58.26-233.52=-175.26.[/tex]

Question 1

25 pts

What is the total cost to run the cookie shop when rent is $50.00, insurance is $50.00 and the cost

to make the cookies is $100.00?

O $50.00

O $100.00

O $200.00

O $4.00

Answers

Answer:

200

Step-by-step explanation:

50 for rent and 50 for insurance is 100 plus 100 to make them

Anybody know the answer and how did you get it

Answers

Answer:

so I'm guessing you're solving for x

because angle 2 is the vertical angle to angle 3 so this means that they are congruent

4x-26=3x+4

4x-3x=4+26

x=30

What is the solution?

Answers

Answer:

(4, 4)

Step-by-step explanation:

y = 7/4 x - 3       graph (0, -3) (2, .5), (4, 4) (8, 11).  Draw the line

y = x                        graph (0,0)  (2, 2), (4, 4) , ( -2, -2).  Draw the line

The two lines intersect at point (4, 4)

Since it was 7 years ago, Mr. Ly's age was 28 years old.

Can someone please tell me what is his age at present (In now)?

Answers

Answer:

28+7=35. 35 is your answer.

Answer:

35

Step-by-step explanation:

35 because 7+28 is 35 7

28

Triangle JKL has the following measures:

Side JK = 4 cm

Side KL = 7 cm

Angle J = 38°

Triangle PQR has the following measures:

Side QR = 7 cm

Side PQ = 4 cm

Angle Q = 38°

Which statement is accurate about triangles JKL and PQR?

A. They are not congruent

B. They are based on AAS criteria

C. They are based on SSS criteria

D. They are based on SAS criteria​

Answers

The triangles are not congruent.

Option A is correct.

f(x) = -2^x
Find the domain and range and explain.

Answers

[tex]\\ \sf\longmapsto f(x)+-2^x[/tex]

Graph attached

How to find domain and range from co-ordinate pairs?

If a pair be (x,y)Then x=domain and y=range

Now look at the graph

Co-ordinate is (0,-1)

Here domain can be any real number .

[tex]\\ \sf\longmapsto D_f\in R[/tex]

And

Range starts from 0 and infinite in negative y direction.

[tex]\\ \sf\longmapsto R_f\in (\infty,0][/tex]

BRAINLIEST
Two questions to solve
Please no trolling

Answers

Answer:

Step-by-step explanation:

question 13:

the triangle with x is a 30-60-90 triangle which means

x= 17√3

then the traingle with y and z is a 45-45 triangle

z=34

y= 34√2

question 14:

x= 18√3

z=9

y= 18

answer please
urgently....​

Answers

Answer: Picture is cropped can you send the full photo

Step-by-step explanation:

Please send the full photo

HELP ASAP!!!
x3+y3+z3

Answers

Answer:

= k

Step-by-step explanation:

5) How would you break down 40% to find 40% of a number? Check all
that apply.
2 points
4(10%)
2(25%)
10% + 10% + 10% + 10%
25% + 10%
50% + 10% + 10%

Answers

Answer:

(A) and (C)

Step-by-step explanation:

4(10%) and 10%+10%+10%+10%+

Answer:

4(%10) = 40%

and

10% + 10% + 10% + 10% = 40%

Find the measure of angle y.

A) 19
B) 22
C) 41
D) 120​

Answers

Answer:

19

Step-by-step explanation:

because it alternate with A

Can someone help me with 1. ?

Answers

Make a table of each equation.

Find the point where the two lines end? or meet?

A rectangular container of length 40cm and width 36cm was filled with 57600cm cubic of water.find the depth of the water in the container


Answers

Answer:

40

Step-by-step explanation:

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