The difference between two positive integers is2. If the smaller is added to the square of the larger the sum is 40. Find the integers

Answers

Answer 1

Answer:

4 and 6

Step-by-step explanation:

first you must write your let statements

let x = smaller integer

let y = bigger integer

y - x = 2

x + y^2 = 40

then you use substition to find your anaswer

x = y - 2

y - 2 + y^2 = 40

y^2 + y - 42 = 0

then find the numbers that add up to 1 and multiply to -42

-6 and 7

y^2 + 7y - 6y - 42

y(y + 7) - 6(y + 7)

(y - 6)(y + 7)

set both sides equal to 0

y = 6, -7

y must be positive so it is 6

then plug y into one of the equations to get your answer

6 - x = 2

x = 4

your answer is 4 and 6


Related Questions

joshua drinks 8 cups of water a day. The recommended daily amout is given in fluid ounces.How many fluid ounces of water does he drink each day?

Answers

Question:

Joshua drinks 8 cups of water a day. The recommended daily amout is given in fluid ounces. How many fluid ounces of water does he drink each day?

What were being asked:

How many fluid ounces of water does he drink each day?

Answer:

The answer is

64 fluid ounces

Step-by-step explanation:

1 cup of water = 8 fluids.

8 cups of water x 8 fluids = 64 ounces

Therefore, your answer is 64 fluid ounces.

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

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Submitted on 4/18/2022 at 4:08 PM

(To avoid plagarism, by users whom decide to copy.)

Juma bought a geometry set at sh 2000 and later sold it at sh 2500. find his percentage profit​

Answers

given:

bought price= 2000

sold price= 2500

to find:

the percentage profit

solution:

[tex]profit\% = 100 \times \frac{(final - initial)}{initial} [/tex]

[tex]profit\% = 100 \times \frac{(2500 - 2000)}{2000} [/tex]

[tex] = \frac{(2500 - 2000)}{2000} [/tex]

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

[tex] = \frac{1}{4} \times 100\%[/tex]

[tex]profit\% = 25\%[/tex]

therefore, his percentage profit is 25.

Use the distribution property to explain how 30 flowers in a bunch can be counted in groups of 2s and 3s.

Answers

The way 30 flowers in a bunch can be counted in groups of 2s and 3s is 2(3(3) + 3(2))

Prime factorization of numbers

From the question, the interpretation is that we are to write the prime factorization of 30

30 = 2 * 15

30 = 2{3 (3 + 2)}

Expand using the distribution property

30 = 2(3(3) + 3(2))

30 = 2(9 + 6)

Hence the way 30 flowers in a bunch can be counted in groups of 2s and 3s is 2(3(3) + 3(2))

Learn more on prime factorization here: https://brainly.com/question/92257

line l passes through two points (-2,1) and (4,3) then find the slope of line l and find y-intercept of the line l ,find x-intercept of the line l and write the equation of the line l and sketch the graph of the line i

Answers

The linear equation that passes through the two given points is:

y = (1/3)*x + (5/3)

How to find the linear equation?

A linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is equal to:

a = (y₂ - y₁)/(x₂ - x₁).

In this case, we know that the line passes through (-2, 1), and (4, 3).

Then the slope is:

a = (3 - 1)/(4 - (-2)) = 2/6 = 1/3

So the line is something like:

y = (1/3)*x + b

To find the value of b, we use the fact that the line passes through the point (4, 3), then:

3 = (1/3)*4 + b

3 - 4/3 = b

5/3 = b

So the line is:

y = (1/3)*x + 5/3

Finally, the x-intercept of the line is the value of x such that y = 0.

0 = (1/3)*x + 5/3

-5/3/(1/3) = x = -5

The graph of the line can be seen below.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

Convert 1.5 kg to grams

Answers

Answer:

  1500 g

Step-by-step explanation:

The SI prefix "kilo-," abbreviated "k," means 1000. So, 1.5 kilograms is ...

  1.5×(1000 g) = 1500 g

Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.

The mean of the data is .

Answers

I think this is the answer .

Answer:

4.4

Step-by-step explanation:

A spinner is labelled with three colors: Red, Green and Blue Marcus spun the spinner once and tossed a coin once.
Construct a tree diagram for this situation. Determine how many outcomes are possible Complete your work in the
space provided or upload a file that can display math symbols if your work requires it. Include the tree diagram in yo
answer.

Answers

Answer:

there are three outcomes

Step-by-step explanation:

three colours= three outcomes

don't have a diagram

If UVWX is a parallelogram, what iS the value of y?

Answers

The left and right sides need to be the same to be a parallelogram .

15 = 1/4y

Divide both sides by 1/4

Y = 60

Answer: B. 60

Answer:

its 60

Step-by-Step Explantion:

Please help! First answer correct BRAINLIEST

Answers

Answer:

8.......................

Step-by-step explanation:

It's clear that the figure is rhombus (because diagonals make right angle).

Rhombus area formula: (AC×BD)÷2

So if we have area and one diagonal then it's easy to find another diagonal.

S=AC×BD÷2

14.5×BD÷2=58

14.5BD=58×2

14.5BD=116

BD=116÷14.5

BD=8

Evaluate 2x(8+4)-7
Please do some working out

Answers

Answer:

24x-7

Step-by-step explanation:

First, we distribute the 2x.

2x * 8 = 16x

2x * 4 = 8x

16x+8x-7

24x-7

This is the final result / your answer :

24x-7

Answer:

24x-7

Step-by-step explanation:

1. Add 8 and 4, this leaves us with 2x(12)-7

2. Multiply 12 and 2. This leaves us with 24x-7

6. За день туристы прошли 22 km. 3 часа они
шли со скоростью 4 km/h, а остальное рас-
стояние
со скоростью 5 km/h. Сколько вре-
мени туристы были в дороге?

Answers

Answer:

5 hours

Step-by-step explanation:

The question is

The tourists walked a distance of 22 km during a day.

The first 3 hours they walked with the speed of 4 km/h and the rest of the distance with the speed of 5 km/h.

What was the total time they walked.

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

Let the time the tourists walked with 5 km/h is t, then we have the following equation for the total distance

3*4 + t*5 = 22

Solve for t

12 + 5t = 225t = 22 - 125t = 10t = 2

The total time was

3 + 2 = 5 hours

Divide.

3/5 ÷ 2/5 = ???
A.
2/3
B.
1 1/2
C.
6/25
D.
4/5

Answers

Answer:

i put it in a calc and got 1 1/2 which simplifies to 2/3

Step-by-step explanation:

Answer: a?

Step-by-step explanation:

i did 3 dived by 5 then 2 diviided by 5, dived the awnsers and got 2/3

-x^2+16x+64=0 need to know using quadratic formula to find the zeroes

Answers

Answer:

[tex]x= 8\left(1- \sqrt 2 \right)\\\\\\x= 8\left(1+ \sqrt 2 \right)\\[/tex]

Step by step explanation:

[tex]-x^2 +16x +64 =0\\\\\text{Use the quadratic equation formula,}~~ x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{In this case,}~ a=-1, b=16, c=64\\\\\\x=\dfrac{-16\pm\sqrt{16^2 -4 \cdot (-1)(64)}}{2(-1)}\\\\\\~~~=\dfrac{-16\pm\sqrt{512}}{-2}\\\\\\~~~=\dfrac{-16 \pm \sqrt{256 \times 2}}{-2}\\\\\\~~~=\dfrac{-16 \pm 16\sqrt2}{-2}\\\\\\~~~=8 \pm(-8)\sqrt 2\\\\\text{Hence,}\\\\x=8-8\sqrt 2 = 8\left(1- \sqrt 2 \right)\\\\x= 8+8\sqrt 2 = 8\left(1+ \sqrt 2 \right)[/tex]

b – 12 = 36

A.b = 34
B.b = 48
C.b = 26
D.b = 28

Answers

Hey there!

Answer:

B)b = 48

Explanation:

[tex]48 - 12 = 36[/tex]Hope it helps

The function below describes the total cost, y, of a hamburger with a toppings on it.
y= 1.90 + 1.40x
What does the slope mean in terms of the context?
O The cost of the hamburger will decrease by $1.90 per topping.
O The cost of the hamburger will increase by $1.90 per topping.
O The cost of the hamburger will increase by $1.40 per topping.
O The cost of the hamburger will decrease by $1.40 per topping.

Answers

Answer:

O The cost of the hamburger will increase by $1.40 per topping.

Step-by-step explanation:

y = 1.90 + 1.40x→ $1.90 is the fixed cost of the hamburger→ $1.40 is the price per topping and it will increase as the slope of the function/graph is positive⇒ Option 3

Answer:

The cost of the hamburger will increase by $1.40 per topping

Step-by-step explanation:

Given equation:

y = 1.90 + 1.40x

where

y = total cost of hamburgerx = number of toppings

The slope-intercept form of a linear equation is y = mx + b (where m is the slope and b is the y-intercept).

Rearranging the given equation to this form:  y = 1.40x + 1.90

Therefore, 1.40 is the slope and 1.90 is the y-intercept.

The slope is the rate of change.  This is the amount by which y will change with respect to changes in x.  The slope is positive, so as x increases, y will increase.  

Therefore, the cost of the hamburger will increase by $1.40 per topping.

please help, there is a picture.

Answers

Answer:

B (2.5, -0.5)


bought a 45-inch television. The size of the TV is measured diagonally.
The television has a height of 27inches. What is the length of the TV?
3
MATH
A 30 in.
B
32 in.
C 36 in.
D 39 in.
45 in.
27 in.

Answers

Answer:

C) 36 inches

Step-by-step explanation:

Let the diagonal be the hypotenuse and use Pythagoras' Theorem:

[tex]a^2+27^2=45^2\\a^2+729=2025\\a^2=1296\\a=36[/tex]

So, the length of the TV was 36 inches.

if the tempture is 39.2 degrees F what would the tempture be in celsius

Answers

Answer:

4 degrees celsius

Step-by-step explanation:

Which of the numbers listed below are solutions to the equation? Check all
that apply.
x² = -64
O
A. -8
O
B. -64
0 C. 8
1
D. -4
u
E. 64
F. None of these

Answers

Answer:

F. None of these

Step-by-step explanation:

A number can never be negative when squared unless an imaginary number is involved. Since none of the answers involve i, the answer must be F. None of these.

Find the distance between the two points in simplest radical form.
(-8,3) and (-2,-5)

Answers

Explaination :

Here we would be using distance formula to calculate the distance between those two points.

Points are,

(-8,3) (-2,5)

Distance Formula :

[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]

We have :

x1 = -8 x2 = -2 y1 = 3 y2 = -5

Substituting the values in the formula :

Refer the attachment.

The distance between the pair of points (-8,3) and (-2,-5) in radical form is √100.

What is the distance between the pair of points?

The distance formula can be expressed as:

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}[/tex]

Given the coordinates of the pair of points:
Point 1( -8,3 )

x₁ = -8

y₁ = 3

Point 2( -2,-5 )

x₂ = -2

y₂ = -5

Plug the coordinates into the distance formula and simplify.

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}\\\\d = \sqrt{( -2 - (-8) )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( -2 + 8 )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( 6 )^2 + ( -8 )^2}\\\\d = \sqrt{36 + 64}\\\\d = \sqrt{100}[/tex]

Therefore, the distance is √100 units.

Learn more about the distance formula here: brainly.com/question/24509115

#SPJ3

Assuming that you have 50 subjects that you want to randomly assign to two different groups of 25, explain how you would use a random number table to do it. (10 points; 7 for your answer, 3 for response to others' comments.)

Answers

A random number table can be used by first assigning a number to each subject and then randomly selecting the subjects for each group.

What is a random number table?

This is table that contains random numbers and it is used to select random samples.

How to use it in this case?Assign a number to each participant from 1 to 50.Grab the random number table and without looking point at a number in the table.If the last two digits of the number are between 01 and 50, assign the participant to the first group. If not select another number.Assign 25 participants to the first group using this metho and then automatically assign the remaining 25 participants to the second group.

Learn more about numbers in: https://brainly.com/question/17429689

I need help please answer
Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?

A 2.66 light-years
B 7.18 light-years
C 7.74 light-years
D 9.46 light-years

Answers

Answer:

B) 7.18

Step-by-step explanation:

sorry if I am wrong. I hope this helps.

Which statement describes the graph of the function?
The function has holes when x = 0 and x = 4.
The function has vertical asymptotes when x = 0 and x = 4.
The function has a vertical asymptote when x = 0 and a hole when x = 4.
The function has a hole when x = 0 and a vertical asymptote when x = 4.

Answers

Answer:

the function has vertical asymptotes when x = 0 and x = 4

Step-by-step explanation:

Each interior angle of a regular polygon has a measure of 40.how many sides does the polygon have?​

Answers

Given Information :-

Each exterior angle of a regular polygon has a measure of 40°

To Find :-

The number of sides of the polygon

Formula Used :-

[tex] \qquad \star \: \underline{ \boxed{ \green{ \sf No.~of~sides = \dfrac{360^ \circ}{exterior ~angle}}}} \: \star[/tex]

Solution :-

Using the formula,

[tex] \sf \dashrightarrow No. ~of~sides= \dfrac{360}{40} \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \frac{ \cancel{360}}{ \cancel{40} } \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \underline{ \boxed{ \blue { \frak{9}}}} \: \star[/tex]

Thus, the polygon is a nonagon, and hence has 9 sides.

[tex] \underline{\rule{227pt}{2pt}} \\ \\ [/tex]

Park
Avenue
Describe the lines that intersect at Park Avenue and Hawthome Boulevard. Explain.

Answers

Answer:

make it clearer

Step-by-step explanation:

Suppose that the first four moves of a tic-tac-toe game are as shown.

Does the first player (whose moves are marked by Xs) have a strategy that will always win? (If no, explain why. If yes, show the winning strategy in a form of a game tree)

Answers

The first player using Xs does indeed have a strategy to always win by placing an X in the Middle right box.

Why is this a winning strategy?

When the first player places an X in the middle right spot, the second player will have to place an O in two places to avoid the first player winning.

They would have to place an O in the middle left space and in the bottom right space. Seeing as they can't place an O in two boxes at once, the first player will be able to place an X in the empty box out of the two, and win.

In conclusion, there is a winning strategy.

Find out more on strategy in tic-tac-toe at https://brainly.com/question/15262069.

Step-by-step explanation:

The first player has two possible winning moves.

1. Middle right box

Regardles the next move the first player has one of the two options next: middle left or bottom right box

2. Bottom right box

Regardles the next move the first player has one of the two options next: middle right or top left box

help me please this is hardddd

Answers

Answer:

4) C

5) A, B, and D

6) 0.99m+50

7) h=d/2

Step-by-step explanation:

What is 24% of 234 and it has to be 20 characters long

Answers

Answer:

56.16

We need to determine 24% of 234 now and the procedure explaining it as such

Step 1: In the given case Output Value is 234.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 234 = 100%.

Step 4: In the Same way, x = 24%.

Step 5: On dividing the pair of simple equations we got the equation as under

234 = 100% (1).

x = 24% (2).

(234%)/(x%) = 100/24

Step 6: Reciprocal of both the sides results in the following equation

x%/234% = 24/100

Step 7: Simplifying the above obtained equation further will tell what is 24% of 234

x = 56.16%

Therefore, 24% of 234 is 56.16

please mark it Brainiest answer

noah saved $47 in june, $36 in july, and $27 in august. Then noah spent $18 on school supplies and $36 on new clothes. How much money does noah have left?

Answers

$56
47 + 36 + 27 = 110
110 - 18 - 36 = 56

help me guys pls pls pls​

Answers

1. 75

2. 75

3. 900

For the first one, add 10 + 15, then times it by 6 (the height). Finally, divide by 2. Base + base times height divided by 2.


The second one, do 15 x 10, then divide by 2. Base x height divided by 2

Finally, the last one do 36 x 35. Base x height.
The correct are


1) 68.1795
2) 75
3) 900
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