if Xandy are integers and(x-y)=4, what is the main minimum possibile value of xy? ​

Answers

Answer 1

Answer:

-4

Step-by-step explanation:

Hello,

x-y=4 <=> x=y+4

so, xy=y(y+4)

[tex]y(y+4)=y^2+4y=(y+2)^2-4[/tex]

so this is minimum for y = -2 and the minimum value is -4

thanks


Related Questions

A clothing company is planning an event in which it will provide clothes to homeless children in countries where the company has set up factories. Which tool or technique is the company using to promote its brand? sales promotions direct marketing personal sales public relations advertising

Answers

Answer:

They are using public relations advertising

Answer:

Public relations.

Step-by-step explanation:

Because charity events can provide a company with publicity, which is part of public relations.

You run to the store on your way home from school. You want to buy some Doritos. Should you buy the regular size bag or the party size bag? Calculate the unit price for each size and determine which one is the better buy. 15 oz. Party Size Doritos $3.98 9.75 oz. Doritos $2.98

Answers

Answer:

15 ounce bag is cheaper per ounce than 9.75 ounce bag.

Step-by-step explanation:

For this problem, you should simply take the cost divide by the size for each to find the price per ounce.

$3.98 / 15oz == $0.265 per ounce

$2.98 / 9.75oz == $0.306 per ounce

Note that the 15 oz bag is a better price per ounce than the 9.75 oz bag.

As to what bag you should buy, that really should depend on more factors than just what's best per ounce.  For instance, are you really hungry enough for 15 ounces of doritos, or will 9.75 do just fine?  Also, do you even have the extra dollar it would cost to buy the bigger bag?  Just some stuff to think about.

Cheers.

A hotel manager found that his gross Receipts for the day including a 3% sales tax were $1,551.18 find the amount of sales tax collected

Answers

the total percentage of the equation is 1,597.72

Suppose the height of the pyramid is 20 yards. What is the pyramid's volume?

Answers

Answer : The correct option is, (B) 1500 cubic yards.

Step-by-step explanation :

Formula used to calculate the volume of square pyramid is:

[tex]V=\frac{a^2\times h}{3}[/tex]

where,

V = volume of pyramid

a = base edge of pyramid

h = height of pyramid

Given:

Base edge of pyramid = 15 yards

Height of pyramid = 20 yards

Now putting all the given values in the above formula, we get:

[tex]V=\frac{a^2\times h}{3}[/tex]

[tex]V=\frac{(15\text{ yrads})^2\times (20\text{ yards})}{3}[/tex]

[tex]V=1500\text{ yards}^3[/tex]

Therefore, the volume of pyramid is 1500 cubic yards.

Answer:

(B) 1500 cubic yards.

Step-by-step explanation:

took usatestprep

The length of a rectangular classroom floor is 6 feet more than twice the width the perimeter is 30 feet. What is the length and width of the classroom?

Answers

Answer:

Length = 12.75 feet

Width= 2.25 feet

Step-by-step explanation:

Let the length = x

Let the width= y

The length of a rectangular classroom floor is 6 feet more than twice the width

X= 6+2y

The perimeter is 30 feet.

Perimeter= 2(length+width)

Perimeter= 2(x+y)

30= 2x +2y

But x= 6+2y

30 = 2(6+2y) +2y

30= 12 +4y +4y

30-12= 8y

18= 8y

2.25 = y

30= 2x +2y

30= 2x +2(2.25)

30- 4.5= 2x

25.5= 2x

12.75= x

Length = 12.75 feet

Width= 2.25 feet

Melissa’s math book cost $22.85 less than her art book cost. Her math book cost $93.75. How much did her art book cost?

Answers

93.75 + 22.85 = 116.60
Her art book costs $116.60

Find the most general antiderivative or indefinite integral. ∫ 9x √13 dx = ____________.

Answers

Answer:

[tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C

Step-by-step explanation:

Required:

indefinite integral of  ∫ 9x √13 dx

To solve this, follow these steps:

(i) Place the constant values 9 and √13, at the front of the integral

9√13 ∫x dx

(ii) Now find the integral of x with respect to x by applying the power rule

9√13 [[tex]\frac{x^2}{2}[/tex]] + C

[tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C           [Where C is any constant]

Therefore the indefinite integral of the given expression is [tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C

 

A recipe for trail mix calls for a ratio of 4 to 1 of M&M's to sunflower seeds by weight. How many ounces of sunflower seeds will there be in this mixture if there are 2 pounds of M&M's?​

Answers

There will be 4 times the number of M&M's to the number of sunflower seeds according to the ratio.

Using this, we can create a proportion.

[tex]\frac{4}{1}=\frac{2}{x}[/tex]

[tex]x=\frac{1}{2}[/tex]

There will be [tex]\frac{1}{2}[/tex] pounds of sunflower seeds needed, or 8 ounces.

Hope this helps.

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Find the sum of the integers
(-12)+7

Answers

Answer:

-5 is the answer Very easy

Answer:

The answer will be -5

Step-by-step explanation:

Hope this helped...

DeAndre Jordan has been working on his free throw shooting for the 2020-21 NBA season and it's not going well. After his workouts, he's been shooting 50% from the line in an empty gym. He shoots a string of 15, and then based on the number he makes, he has the following exercise routine. You can assume all of his free-throws have the same probability of being made (50%) and are independent of another.

If he makes more than 10 *** or less than 5. he does 40 push-ups. (A)
If he makes less than 8. he does 15 pull-ups. (B)
If he makes exactly 6 (his jersey number). he runs the length of the court and back 10 times.
If he makes between 3 and 12 (inclusive). he drinks a very tall glass of water. (D)
(He may do multiple exercises,)

***This initially incorrectly read 10 instead of 9. If you submitted your attempt before. l made the correction. I have regraded it.

Which of the following are independent ?
Select one or more:
a. A and B are independent.
b. C and D are independent.
c. A and D are independent.
d. A and C are independent.
e. B and D are independent,

Answers

Answer:

b. C and D are independent

c. A and D are independent

e. B and D are independent.

Step-by-step explanation:

The mutually exclusive events are one which cannot happen together. The event A and B are mutually exclusive events. These two cannot happen together . The independent events are those which can happen solely and their existence is not based on any other event.

This week at HEB, pork chops cost $1.60 per pound. Steve bought 2 1/4 pounds of pork chops. If he paid with a $10 bill, how much change did he receive?

Answers

Answer:

He received $6.40 in change.

Explanation:

Since he bought 2.25 pounds, you multiply that by 1.6 to get a sum of 3.6. Since he paid with a ten dollar bill, and he only has to pay 3.60, they will give him back 6.40 in change.

Hope this helped :)

I need help ASAP plz

Answers

After simplifying, the answer comes to x-y. I Hope this helped :).

g(t)=t squared - 2; Find g(9)

Answers

Answer:

79

Step-by-step explanation:

So we have the function:

[tex]g(t)=t^2-2[/tex]

To find g(9), substitute 9 for t. Thus:

[tex]g(9)=9^2-2[/tex]

Square:

[tex]g(9)=81-2[/tex]

Subtract:

[tex]g(9)=79[/tex]

So, our answer is 79.

And we're done!

Suppose you take $25,000 and deposit some of it into a savings account that pays 2.2% interest. You then take the rest of the money and deposit it in a CD that pays 3.05% interest at the end of 10 years the value of both accounts is $31,648. How much was deposited into each account?

Answers

Answer:

The amount deposited in the savings account is $11,494.12

The amount deposited in the CD account is $13,505.88

Step-by-step explanation:

Firstly, let’s calculate the amount of interest;

Interest = Amount at end of 10 years - amount deposited= 31,648 -25,000 = 6,648

Let the amount deposited in the savings account be $x while the amount deposited in the CD account be $y

Mathematically;

x + y = 25,000 ••••••••••(i)

Now the formula for simple interest is;

PRT/100

where P is the amount deposited, r is the rate and T is the time

On the savings account, amount of interest generated will be;

(x * 2.2 * 10)/100 = 22x/100

On the CD act, amount of interest generated will be;

(y * 3.05 * 10)/100 = 30.5y/100

The addition of both give the total interest;

22x/100 + 30.5y/100 = 6648

Multiply through by 100

22x + 30.5y = 664800 •••••••(ii)

From i, x = 25,000 - y

Substitute this into ii

22(25000-y) + 30.5y = 664800

550,000 -22y + 30.5y = 664,800

8.5y = 664,800-550,000

8.5y = 114,800

y = 114,800/8.5

y = $13,505.88

x = 25,000 -y

x = 25,000 - 13,505.88

x = $11,494.12

Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=3/4x-9;(-8,-18)

Answers

Answer:

please make me brainlieast and follow me.....

-35x+85x-4=26 what is x

Answers

Answer:

x=3/5

Step-by-step explanation: first you collect like terms and move the constant to the right and then calculate and divide both sides

Brayden is simplifying the expression 4n – (n – 3)2. He begins by distributing the negative to the terms inside the parentheses. What should he have done instead? combine like terms square the binomial cube the binomial rewrite the expression as a fraction

Answers

Answer: C

Square the binomial

The Simplification of the given expression : [tex]10n -n ^2 - 9[/tex]

What is simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Brayden wants to simplify the given expression;

[tex]4n - (n -3)^2[/tex]

He begins by distributing the negative to the terms inside the parentheses. This is a wrong approach to simplify the given expression.

He should have done the following steps;

First square the term, then distribute the negative sign and then combine the like terms.

[tex]4n - (n -3)^2[/tex]

Simplification of the given expression:

[tex]4n - (n ^2 - 6n + 9)\\\\4n -n ^2 + 6n - 9\\\\10n -n ^2 - 9[/tex]

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Any value that makes an equation true is a _____

Answers

Any value that makes an equation true is a solution

Any value that makes an equation true is a 'solution of that equation'.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

If any number or value satisfy the given equation or makes an equation true is called solution of the given equation.

So, The complete sentence is,

Any value that makes an equation true is a ''solution of that equation.''

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find the difference. m+2/(m-4)^2 - m-2/(m-4)^2​

Answers

hi, i’ll do this question in 20 mins!

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{m+2}{(m-4)^2}[/tex] - [tex]\frac{m-2}{(m-4)^2}[/tex]

Since the denominators are common then express as a single fraction

= [tex]\frac{m+2-(m-2)}{(m-4)^2}[/tex]

= [tex]\frac{m+2-m+2}{(m-4)^2}[/tex]

= [tex]\frac{4}{(m-4)^2}[/tex] → A

Which of the following describes soil and temperature in an ecosystem?
A abiotic factors
Bbiotic factors
C unnecessary factors
D conditional factors



HURRY I’M TIMED

Answers

The answer is A. Abiotic Factors

Three high school football teams each played four games. The Wildcats scored 18, 10, 14, and 18 points. The Knights scored 13, 17, 28, and 7 points. The Eagles scored 17, 28, 9, and 21 points. Which team had the highest mean points per game?

Answers

Answer:

The Eagles: 18.75

Step-by-step explanation:

The Mean of the wildcats: 15

The Mean of the Knights: 16.25

The Mean of the Eagles: 18.75

Add 6.004 + 0.08 + 954 + 3.5 =

Answers

The answer is 963.584.

Answer:

963.584 is the answer.

Haley has three times as many stuffed animals as she does dolls. Her brother has 18 more video games than Haley has stuffed animals. If Haley has 15 dolls, how many video games does her brother have? A. 273 B. 33 C. 63

Answers

Answer:

63

Step-by-step explanation:

15 dolls-

15 x 3 = 45 stuffed animals

45+18 = 63

Solve for :

9x - 3 - 8x = 7 - X

A. X=-7

B. x = -2

C. X=4

D. x= 5

pls help me my grade is depending on it

Answers

Answer:

d. x = 5

Step-by-step explanation:

Solve for x:

x - 3 = 7 - x

Hint: | Move terms with x to the left hand side.

Add x to both sides:

x + x - 3 = (x - x) + 7

Hint: | Look for the difference of two identical terms.

x - x = 0:

x + x - 3 = 7

Hint: | Add like terms in x + x - 3.

x + x = 2 x:

2 x - 3 = 7

Hint: | Isolate terms with x to the left hand side.

Add 3 to both sides:

2 x + (3 - 3) = 3 + 7

Hint: | Look for the difference of two identical terms.

3 - 3 = 0:

2 x = 7 + 3

Hint: | Evaluate 7 + 3.

7 + 3 = 10:

2 x = 10

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = 10 by 2:

(2 x)/2 = 10/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = 10/2

Hint: | Reduce 10/2 to lowest terms. Start by finding the GCD of 10 and 2.

The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:

Answer: x = 5

Hi it’s due tomorrow pls help me

Answers

Do the multiplication first so if you see an unknown variable next to a number, you should multiply both the numbers first

my ones digit is 2 more than my thousand digit. the sum of my ones and thousand is my hundreds digit. 3 less that my hundreds digit is my tens digit. my Hundreds thousand and ten thousand are the same. guess what number I can be.

Answers

Answer:

No answer. See below.

Step-by-step explanation:

This number is in the ten-thousands, so it has 5 digits.

Let the number have the form

abcde, where

a = ten-thousands digit

b = thousands digit

c = hundreds digit

d = tens digit

e = ones digit

"my ones digit is 2 more than my thousand digit."

e = b + 2

"the sum of my ones and thousand is my hundreds digit."

e + b = c

"3 less that my hundreds digit is my tens digit."

c - 3 = d

"my Hundreds thousand and ten thousand are the same."

c = b = a

We have 4 equations:

e = b + 2

e + b = c

c - 3 = d

c = b = a

Using the last equation, replace every c and b with a in the first 3 equations.

e = a + 2

e + a = a

a - 3 = d

Using the second equation, subtract a from both sides.

e = 0

Substitute e = 0 in the first equation.

0 = a + 2

a = -2; b = -2; c = -2; d = -5

Since a digit cannot be negative, there is a problem with this question.

Please check your question and correct the post.

What rule describes the rotation about the origin? (x, y) → How many degrees was the figure rotated about the origin?

Answers

Answer:

-x,-y

180

Step-by-step explanation:

ED 2020

The required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.

What is the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

The coordinate of the given point is (1, 1), and after rotation coordinates are (-1, -1) about the origin. It shifted from 1st quadrat to the 3rd quadrant. It implies,

The point rotated with an angle of 180° so that its coordinates were translated by formula,
(x, y) ⇒ (-x, -y).

Thus, the required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.

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What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches

Answers

Answer:

12π cubic inches

Step-by-step explanation:

Volume  = (4/3)πr^3

V = (4/3)π9

V = (36/3)π

V = 12π

According to data from the U.S. Census Bureau, in 2010 21,495 workers in Wake County had a daily commute between 45 and 59 minutes. By 2016 the number of workers with this long of a commute had increased by 82%. How many Wake County workers had a 45-59 minute commute in 2016?

Answers

Answer: about 39,121 workers

=======================================================

Explanation:

Ignore the "45" and "59" as they aren't used in this problem. The year numbers don't matter either.  These numbers are either thrown in as filler or distraction.

We're basically being asked "we started with 21,495 and increased by 82%, what is the new value?"

Take 82% of this to get 0.82*21495 = 17,625.9 which rounds to 17,626 since it doesn't make sense to have a decimal or fractional portion of a person. So the number of workers has increased by about 17,626 people.

Add this to the original amount to get 21,495 + 17,626 = 39,121 which is the answer

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

As a shortcut, you could multiply 21495 by 1.82 to indicate an 82% increase

1.82*21495 = 39,120.9 which rounds to 39,121

Let f(x) = -3x and g(x) = 2x-1
Find the following: 3f(x) +2g(x)
0 6x +4
0 -5x - 2
O There is no correct answer given.
O 8x -8
O 5x+1

Answers

It is B. 3(-3x)+2(2x-1)= -9x+4x-2—> (-5x-2)

The value of 3f(x) + 2g(x) = -5x - 2

Algebra of  functions:

Given f(x) = -3x, g(x) = 2x-1 are the two functions

then by the algebra of two functions(adding two functions) we can find the value of 3f(x) + 2g(x)

Now find

3f(x) = 3(-3x) = -9x            -----------(i)

2g(x) = 2(2x-1)

        = 2(2x)-2(1)                        

2g(x) = 4x-2                     ----------(ii)

Now, add the above two equation (i) and (ii)

3f(x) + 2g(x) = -9x + 4x - 2  

                   = -5x-2  

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