You multiply two integers. You increase one of them by 1 and decrease the other
by 1. The product increases by 6. What integers could you have multiplied?

Answers

Answer 1

Integers are numbers without decimals

The integers could you have multiplied are 9 and 2

Let the numbers be x and y

So, we have:

[tex]\mathbf{x \times y}[/tex]

Increase x by 1 and reduce y by 1.

So, we have

[tex]\mathbf{(x +1) \times (y -1) = 6 + xy }[/tex]

Open brackets

[tex]\mathbf{xy -x + y - 1 = 6 + xy}[/tex]

Subtract xy from both sides

[tex]\mathbf{ -x + y - 1 = 6}[/tex]

Collect like terms

[tex]\mathbf{ -x + y = 6 + 1}[/tex]

[tex]\mathbf{ -x + y = 7}[/tex]

Rewrite as:

[tex]\mathbf{ y -x= 7}[/tex]

The above means that, the difference between the integers is 7.

There are several integers that fit the above description;

One possibility is: 9 and 2

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Related Questions

if im washing 4 trucks how many cars do i wash

Answers

4… cars ……I’m guessing

Answer:

Zero

Step-by-step explanation:

If you are not considering a truck being a car, then you wash 0 cars

Write the prime factorization of 9. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

Answers

Answer:

3 times 3 or 3²

Step-by-step explanation:

Answer:3x3 or you could do 3 over 2

Step-by-step explanation:

If the pic is in focus pls help

Answers

5x²+6x+2

please mark BRAINLIEST if right.

Answer:

option 3

Step-by-step explanation:

i cant do exponents on a computer but the 5X2+6x+2 :)

solve x^2+6x+1=0 and give your answer to two decimal places

Answers

it is 0.17. hope it helps
-0.17 your welcome .

The length of one of the equal sides of an isosceles triangle is 4 cm. If its base is 2 cm, then what is its area?​

Answers

Answer:

A = 1/2bh

b = 2cm

h will be found using the side of the triangle with Pythagoras theorem

h² + 1² = 4²

h² = 15

h = √15 cm

then,

A = 2*√15

2

A = √15cm²

how to solve

-3(m-2)=-9

m= ?

Answers

9514 1404 393

Answer:

  m = 5

Step-by-step explanation:

Recognize that the number on the right has -3 as a factor. Divide both sides of the equation by -3.

  m -2 = 3

Add 2 to both sides of the equation:

  m = 5

_____

Additional comment

Perhaps the conventional approach is to eliminate parentheses, then solve the resulting 2-step linear equation.

  -3m +6 = -9

  -3m = -15 . . . . . . subtract 6 (step 1)

  m = 5 . . . . . . . . . divide by the coefficient of m (step 2)

What is the product of 3 and a4+4a3+7a+9

Answers

Answer:

7x^{4} - 56x^{3} + 35x^{2} + 28x - 42

Step-by-step explanation:

I hope is still help.

write 25 * 10^6 in standard form

Answers

?
25•10•10•10•10•10•10

• = multiply

Estimate 6,789 as a single digit times a power of ten. Estimate 6,789 as a single digit times a power of ten.

Answers

Answer:

7 x 10³

Step-by-step explanation:

the above answer would be 6,789 estimated to the nearest thousand

Help with this, thanks!!

Answers

Answer:

Option A

Step-by-step explanation:

The graph is in the first quadrant and is decreasing.

The a is positive as the graph is above the x- axis.The b is negative as the graph is decreasing.

Correct choice is A

please help me
in the second box there are three answers less than greater than or exactly

Answers

Answer:

100

Step-by-step explanation:

Needs total of $1,800.00 to save $1,600.00 +$200.00 (car payment).

$1,800/$18.00= 100 hours


Please help me with please solving for x and y

Answers

x = 13.5y = 3.5

Step-by-step explanation:

Solving for x

7x + 30 = 11x - 24

30 + 24 = 11 - 7x

54 = 4x

54/4 = x

27/2 = x

13.5 = x

Solving for y

5y + 38 = 17y - 4

38 + 4 = 17y - 5y

42 = 12y

42/12 = y

21/6 = y

7/2 = y

3.5 = y

Evaluate using suitable identity:
b). 51²​

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

★ Solution :-

[tex]\sf \longmapsto 51^2[/tex]

[tex]\sf \longmapsto (a + b)^2 = a^2 + 2ab + b^2[/tex]

Here,

a = 50b = 1

[tex]\sf \longmapsto (50 + 1)^2 = 50^2 + 2(50)(1) + 1^2[/tex]

[tex]\sf \longmapsto 50^2 + 2(50)(1) + 1^2[/tex]

[tex]\sf \longmapsto 2500 + 100 + 1[/tex]

[tex]\sf \longmapsto 2601[/tex]

Hence,solved.

true or false? A subtraction expression with a positive integer and a negative can have a difference of zero

Answers

Answer:

False

Step-by-step explanation:

Subtracting a negative integer is equivalent to adding a positive integer. So adding a positive integer to a positive integer can never be zero.

If the height of a small box is 20cm, find two different pair of values which the company can use for the length and width of a small box​.


Ill give brainly

Answers

Answer:

Step-by-step explanation:

Simplify as far as possible.
7

5

3

5

Answers

Answer:

4√5

Step-by-step explanation:

3 / 5 × 7 / 12 ÷ 2 7 / 10

Answers

Answer:

7/54

Step-by-step explanation:

Plot the ordered pairs from the table.

Answers

The first point is on the 10 minute line in between 4 and 6 kilometer line

The second point is on the 15 minute in between the 10 and 12 kilometers line

The third point is on the 20 minute line and 18 kilometer line

The ordered pair is plotted in the graph attached in the solution.

Given that Timony has three friends, the table shows the time taken by him to reach at his friends place and the distance of the homes of each of his friend.

We need to plot the ordered pair formed by the time and distance on the graph,

The ordered pair are:

(5, 10)

(11, 15)

(18, 20)

Plot the ordered pairs on the graph according to the given values:

The first ordered pair is (5, 10). This means that Timony took 5 units of time to reach a friend's place that is located 10 units of distance away. Mark this point on the graph.The second ordered pair is (11, 15). Timony took 11 units of time to reach a friend's place that is located 15 units of distance away. Mark this point on the graph.The third ordered pair is (18, 20). Timony took 18 units of time to reach a friend's place that is located 20 units of distance away. Mark this point on the graph.

Hence the ordered pair is plotted.

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What is the slope of (-6,7), (0,3)

Answers

Answer:

-2/3

Step-by-step explanation:

To find the slope, we use the formula

m = ( y2-y1)/(x2-x1)

    = ( 3 -7)/( 0 - -6)

   = (3-7)/(0+6)

   = -4/6

  = -2/3

Answer:

m = -2/3

Step-by-step explanation:

Here, we need to find the slope .

To find slope we are using slope formula .

Slope Formula, m = ( y² - y¹ ) / ( x² - x¹ )

Where, we have given

x¹ = -6 and x² = 0y¹ = 7 and y² = 3

Now putting the given values in the formula.

Slope , m = ( 3 - 7 ) / ( 0 - (-6 ) )

m = ( -4 ) / ( 6 )

Divide by 2.

m = -2 / 3

Therefore, Your answer is -2/3.

Solve for x.

8 ≤ x - (-14)

Answers

[tex]8 \leqslant x - ( - 14) \\ 8 \leqslant x + 14 \\ 8 - 14 \leqslant x + 14 - 14 \\ - 6 \leqslant x \\ x \geqslant - 6[/tex]

I hope I helped you ^_^

The answer it x >_ - 6

Let C(x)=600+60x be the cost to manufacture x items.Find the average cost per item, to the nearest dollar, to produce 30 items.


A) $315
B) $80
C)$1320
D)$330

Answers

Answer:

Correct answer: B: $80

Step-by-step explanation:

Given the function, C(x) = 600 + 60x, where:

C(x) = represents the total cost to manufacture x items

    x = number of manufactured items

Substitute x = 30 into the given function:

C(30) = 600 + 60(30)

C(30) = 600 + 1800

C(30) = 2400 ← This represents the total cost to produce 30 items.  We need to find out the average cost per item.

Thus, we need to divide $2,400 by 30 to get the average cost of producing each item:

$2,400 / 30 = $80

Therefore, the correct answer is B) $80

Please mark my answers as the Brainliest if you find my explanations helpful :)

plz help me find the measure of each angle indicated. then state the type of angle pair

Answers

19. 60* - a straight line is 180* - the other side which is 120* (supplementary)
20. 132* - the angle below is the same as the other side of this angle, 180* - 48* (same side interior angles)
21. 48* - these are the same angle just in different placements (corresponding angles)
22. 70* - same angles just different placement (alternate interior angles)
23. 85* - these are vertical angles so they’re the same
24. 114* - same angle just different placement (alternate exterior angles)

3.687 times n equals 36.87

Answers

Answer:

n is 10 if that's what your asking

Answer:

n=10

Step-by-step explanation:

if you multiply 3.687 by ten, it carries the decimal place over making 36.87, so ten is the answer

a two digit number is such that the sum of its digit is 13 .The product of twice the tens digit and the unit digit minus original number is 22 . Find the number ​

Answers

Step-by-step explanation:

shhhh don't have a use kk an hour or so see you for a while and observe the first time I've seen that one ma jam and i will be back by by by him and observe the morning to me in electronic shop name is an of all the time I've seen in a while and I just saw this I k h I just saw your message garako thiya the first time I've seen that one ma jaun is the first time I've seen in the first one egg

Identify the pair of supplementary angles.
*71, 29
*65 ,115
*130 , 40
*35 , 55
please answer fastt

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

We know that, the sum of measures of supplementary angles is 180°

So, the Correct choice is :

65° and 115°

because, 65° + 115° = 180°

Classify each number below as a rational number or an irrational number.

Answers

Answer:

1. not

2.yes

3.yes?

4.yes?

5.no

Step-by-step explanation:

i put question marks by ones im not posivie about

There are 12 finalists in a singing competition. The top four singers receive prizes. How many ways can the singers finish first through fourth?

Answers

See below for solution

Answer:665,280

Step-by-step explanation:

Formula for Permutations,

May I please receive help?

Please?

Answers

Step-by-step explanation:

I dont know if they are perpendiculars. but i do know that they are NOT parallel, because they touch and parallels Cant do that


Your baseball team is selling bags of popcorn to raise money for a trip. For each bag of popcorn you sell, $5 go.
to earn at least $125 for the trip. Write and solve an inequality that represents the numbers x of bags of popcorn you must sell to reach your
goal
An inequality is:
125x>5
5x > 125
5x> 125
5x< 125
You must sell at least
bags of popcorn to reach your goal.

Answers

Answer: [tex]5x \geq 125[/tex]

You need at least 125$ so it would be 5x is larger or equal to 125

When solving for x divide both sides by 5

125 / 5 = 25

x = 25

Need the answer for!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

not sure about the explanation

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