The sum of 2 integers is 7 and the sum of their squares is 37 what is the integers

Answers

Answer 1

Answer:

\(1\) and \(6\).

Step-by-step explanation:

Let \(x\) denote one of the integers. Since the two integers add up to \(7\), the other integer would be \((7 - x)\).

The sum of the squares of these integers is \(37\). In other words:

\(x^{2} + (7 - x)^{2} = 37\).

Expand \((7 - x)^{2}\) using binomial expansion. Simplify and rewrite this equation and solve for \(x\).

\(2\, x^{2} - 14\, x + 12 = 0\).

\(x^{2} - 7\, x + 6 = 0\).

Using the quadratic formula or factorization, \(x = 1\) or \(x = 6\). Thus, the two integers are \(1\) and \(6\).


Related Questions

amy sells beaded necklaces. each large necklace sells for $4.10 and each small necklace sells for $3.80. how much will she earn from selling 7 large necklaces and 1 small necklace?

Answers

Amy will earn $28.70 + $3.80 = $32.50.

Profit and loss:

A profit and loss (P&L) statement refers to a financial statement that summarizes the revenues, costs, and expenses incurred during a specified period, usually a quarter or fiscal year. These records provide information about a company’s ability or inability to generate profit by increasing revenue, reducing costs, or both. P&L statements are often presented on a cash or accrual basis. Company managers and investors use P&L statements to analyze the financial health of a company.

Amy will earn $28.70 from selling 7 large necklaces (7 x $4.10 = $28.70) and $3.80 from selling 1 small necklace, so in total, she will earn $28.70 + $3.80 = $32.50.

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Guys could you tell me what's the answer of this?
and Explain please.

46 + __ = 100

Answers

Answer: 54

Step-by-step explanation: so you do 100 - 46 to find the blank, which is 54

46 + 54 = 100 because you can take 46 from 100 and there’s your answer

the question is in the photo! :)

the question is in the photo! :)

Answers

Answer:

2

Step-by-step explanation:

So to get the answer we need to figure out what x is

2×2=4

so x has to be 2

Select all of the ordered pairs that make the inequality y > x2 + 3x – 4 true. (0, 0) (2, 1) (–2, –1) (–5, –1)

Answers

Answer:

4times1/4(y-(-25/4))=(x-(-3/2)) small 2

4p(y-k)=(x-h)small 2

something like that I belive

or just y>xsmall2+3x-4

Answer:

A and C

Step-by-step explanation:

Metallic blocks x,y, and z were placed in the graduates a, b, c. The initial volume of liquid in the equal sized graduates was 40 ml. Which block was placed in which graduate.

Metallic blocks x,y, and z were placed in the graduates a, b, c. The initial volume of liquid in the

Answers

Answer:

hope it helps B-Y, C-Z, A-X

The bearing of a point K from a point L is 084 degrees. What is the bearing of L from K

Answers

Answer:

if point bearing of k-l is 084 degree so the bearing of point l-k is 84 degree

The bearing of a point L from a point K is 264 degrees.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The bearing of a point K from a point L is 084 degrees.

Now,

Since, The bearing of a point K from a point L is 084 degrees.

Hence, The bearing of a point L from a point K = 180° + 84°

                                                                         = 264°

Thus, The bearing of a point L from a point K is 264 degrees.

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Compute the following arithmetic problems in Z/8. Represent your answer with the least positive representative of the appropriate equivalence class (a) [3] + [4] 7 ] (b) [2] . ([2] + [7]) 2 ]] (c) ([6] + [5]). ([3] + [7])

Answers

The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.

Here, we are given three equations as follows, let us solve them one by one-

a. [ [3] + [4] 7 ]

Here [z] = remainder when z is divided by 8

Thus, [4] = 4

⇒ [ [3] + 4*7 ]

= [ 3 + 28 ]

= [ 31 ]

= 7

b.  [ [2] . ([2] + [7]) 2 ]

=  [ 2 . (2 + 7) 2 ]

= [ 2*9*2 ]

= [ 36 ]

= 4

c. ([6] + [5]). ([3] + [7])

= (6 + 5). (3 + 7)

= 11*10

= 110

The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.

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factorize:
(1 - a^2) (1 - b^2) + 4ab​

Answers

Answer:

(ab+a-b+1)(ab-a+b+1)

Step-by-step explanation:

(1 - a²) (1 - b²) + 4ab​= 1 -a²-b² +a²b² +4ab = (a²b² +2ab +1 )- (a²-2ab+b²)= (ab+1)² - (a-b)²= (ab+1 +a-b)(ab+1 -a+b)= (ab+a-b+1)(ab-a+b+1)

PLEASE HELP
What is the approximate volume of the cone
Use 3.14 for TT.
57 cm3
339 cm3
509 cm3
1526 cm3

Answers

The volume of the Illustrated cone used as an example is 51.3cm³.

How to calculate the volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

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G(Z)=z+1/3z−2, Find G(A+H)−G(A)/2

Answers

The expression G(A+H) - G(A)/2 simplifies to (2A + H + 1)/(3A - 6).

To evaluate the expression G(A+H) - G(A)/2, we first substitute A+H and A into the expression G(Z) = Z + 1/(3Z - 2).

Let's start with G(A+H):

G(A+H) = (A + H) + 1/(3(A + H) - 2)

Next, we substitute A into the function G(Z):

G(A) = A + 1/(3A - 2)

Substituting these values into the expression G(A+H) - G(A)/2:

(G(A+H) - G(A))/2 = [(A + H) + 1/(3(A + H) - 2) - (A + 1/(3A - 2))]/2

To simplify this expression, we need to find a common denominator for the fractions. The common denominator is 2(3A - 2)(A + H).

Multiplying each term by the common denominator:

[(A + H)(2(3A - 2)(A + H)) + (3(A + H) - 2)] - [(2(A + H)(3A - 2)) + (A + H)] / [2(3A - 2)(A + H)]

Simplifying the numerator:

(2(A + H)(3A - 2)(A + H) + 3(A + H) - 2) - (2(A + H)(3A - 2) + (A + H)) / [2(3A - 2)(A + H)]

Combining like terms:

(2A^2 + 4AH + H^2 + 6A - 4H + 3A + 3H - 2 - 6A - 4H + 2A + 2H) / [2(3A - 2)(A + H)]

Simplifying the numerator:

(2A^2 + H^2 + 9A - 3H - 2) / [2(3A - 2)(A + H)]

Finally, we can write the simplified expression as:

(2A^2 + H^2 + 9A - 3H - 2) / [2(3A - 2)(A + H)]

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Total Number of Boys 58 Number of boys who can roll their tongues 40 Total Number of Girls 78 Number of girls who can roll their tongues 62 What percentage of the class members can roll their tongues? Record your answer and fill in the bubbles on your answer grid. Be sure to use the correct place value.

Answers

The percentage of the class members can roll their tongues is 75%

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Total  class members =  Total Number of Boys +  Total Number of Boys

                                    =   58 +  78

                                    =   136

Total  class members who can  roll their tongues

=  Number of boys who can roll their tongues + Number of girls who can roll their tongues

=  40 + 62  

= 102

Percentage of the class members can roll their tongues

= (Total  class members who can  roll their tongues ) / (Total  class members )

= 102/136

=  0.75

= 75%

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in a class of 40 students,only 20% of the students are participating in art club.how many students are not taking part of the club​

Answers

Answer:

32

Step-by-step explanation:

20% of 40 = 8

40 - 8 = 32

32 students are not taking part of the club.

Someone please answer this I’m confused

Someone please answer this Im confused

Answers

the answer is 7q-42

1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extra
line to run the ad for one week. Jacqueline plans to sell her house and places a 15-line
ad.
a. What will Jacqueline's ad cost to run for one week?
b. What will Jacqueline's ad cost to run for four weeks?

Answers

Answer:

a)  $92.75

b)  $371

Step-by-step explanation:

Let x = number of lines in the ad

Let x = total charge per week to run the ad

Given:

Charge per week for first 4 lines = $35Charge per week for each additional line = $5.25

Create equations based on the given information:

y = 35   for x < 4

y = 35 + 5.25(x - 4)  for x ≥ 4

Part (a)

Given:

Jacqueline's ad = 15 lines

⇒ y = 35 + 5.25(15 - 4)

      = 35 + 5.25(11)

      = 35 + 57.75

      = 92.75

So the ad will cost $92.75 to run for 1 week.

Part (b)

Cost to run the ad for 4 weeks = 4 × cost of 1 week

                                                    = 4 × 92.75

                                                   = $371

2. Columbia Records unvelled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948,

In two fomats: 10 inches in diameter and 12 Inches in diameter. If the thickness of one

vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and

12 inch records.

Answers

u can download the answer in the link

Solve −4(2x − 1) = −6(x + 2) − 2. (1 point)

(a)−5
(b)5
(c)9
(d)−9

Answers

Answer:

c. 9

Step-by-step explanation:

-8x+4=-6x-12-2

-8x+6x=-12-2-4

-2x=-18

2x=18

x=18/2

x=9

Answer:

C. \(9\)

Step-by-step explanation:

\(-4(2x -1) = -6(x +2) -2 \\ -8x +4 = -6x -12 -2 \\ -8x +4 = -6x -14 \\ -8x +4 +6x = -6x -14 +6x \\ - 2x +4 = -14 \\ - 2x +4 -4 = -14 -4 \\ -2x = -18 \\ \frac{-2x}{-2} = \frac{-18}{-2} \\ x = 9\)

The product of which expression contains four decimal places?
O 5.3478x6.4214
O 6.4x9.1
O 521x3.82
O 14.2x0.784


???

Answers

Answer:
45.2x0.784

Step-by-step explanation:

This problem equals 35.4368, which has four decimal points

50 POINTS!!!
Help me with this pls
Answer with explanation = Brainliest
Absurd answers = report

50 POINTS!!!Help me with this pls Answer with explanation = BrainliestAbsurd answers = report

Answers

Answer:

A)

Step-by-step explanation:

A systems of equations that are 2 completely separate lines will have 1 solution.

A systems of equations that are the same line will have infinite amount of solutions.

A systems of equation that have parallel lines will have no solution.

We see that B, C, and D are all 2 completely separate lines with their own slope and y-intercept. Therefore, they will have 1 solution.

A is our answer because we see that they have the same slope but different y-intercepts. This means that they are parallel lines and will never intersect each other, thus providing us with no solution.

To solve this system of equations, Ayana isolated y in the first equation and then substituted for y in the second equation. What was the result? | 2y = 8 z2 + y = 5 O A. x2 + 8x = 5 O B. x2 + 4x2 = 5 O c. x2 + 4x = 5 D. x2 + 8x2 = 5

Answers

2y=8x

if Anya Isolated y, then 2y/2=8x/2

y= 4x

Substituting for y in the second equation x^2+y = 5 gives

x^2+(4x)=5

x^2 + 4x = 5

4(cos⁶A-sin6A) = cos³2A+3cos2A​

Answers

Answer:

On Paper

Step-by-step explanation:

On the Paper

I hope this helped!

4(cosA-sin6A) = cos2A+3cos2A

For the problem 9 + 2(3) do you get the same final answer if you add first as you do if you multiply
first?

Answers

no

if you add first you get 33
9+2(3)
11(3)
33

if you multiply first you get 15
9+2(3)
9+6
15

15 would be correct because multiplication comes first in pemdas :)

Answer:

No

Step-by-step explanation:

no you do not get the same answer

This is the order in which you should approach problems, doing otherwise may lead to a wrong answer

P - parenthesis -- meaning solve whatever is the the parenthesis

E - exponents -- an example of an exponent is \(2^{3}\) which equals 8

MD - multiplication/division

AS - addition / subtraction

for our particular problem, we have

9 + 2(3)

multiplication trumps addition thus we perform multiplication first

9 + 6 = 15 ---CORRECT

if we were to addition first we would get

9 + 2(3) = 11(3) = 33 This would be WRONG

note: multiplication and division are on the same level

         subtraction and addition are on the same level

if you encounter a problem like 4 ÷ 2 * 3. perform the calculation from left to right thus we would have 4 ÷ 2 = 2 and then 2 * 3 = 6

same applies for addition subtraction

find and sketch the domain of the function. f(x,y)= sqrt (y) + sqrt [25-(x^2)-(y^2)]

Answers

The domain of the function is a semicircle with a radius of 5 and centered at the origin, where y is non-negative.

The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is defined as:

\(f(x,y) = \sqrt{y} + \sqrt{[25 - x^2 - y^2} ]\)

To find the domain of this function, we need to determine the values of x and y that would result in the function producing a real-valued output.

For the square root of y to be real, y must be non-negative. That is, y ≥ 0.

For the square root of [\(25 - x^2 - y^2\)] to be real, we must have:

\(25 - x^2 - y^2 \geq 0\\x^2 + y^2 \leq 25\)

This is the equation of a circle with radius 5 centered at the origin. Therefore, the domain of the function is the set of all points (x, y) that lie inside or on this circle and have y ≥ 0.

In interval notation, we can write:

Domain: {(x, y) |\(x^2 + y^2 \leq 25, y \geq 0\)}

To sketch the domain, we can plot the circle with radius 5 centered at the origin and shade the region above the x-axis. This represents all the valid input values for the function. The boundary of the domain is the circle, and the domain includes all points inside the circle and on the circle itself, but not outside the circle.

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convert 150 lb to kg

Answers

The answer is 68.039 kilograms

Write the expression in simplest form 2+3a+9a

Answers

Answer: 2+12a

Step-by-step explanation:

add like terms: 3a+9a

Find three rational numbers between - 2 and - 3

And please write in step by step explination. ​

Answers

Step-by-step explanation:

follow these steps with tbe no. of -2 and - 3 you will come with answer

Find three rational numbers between - 2 and - 3And please write in step by step explination.

Answer:

- 21/10, -5/2 and -11/4.

Step-by-step explanation:

Rational numbers can be written as a/b where a and b are integers ( b not zero).

So three naumbers between - 2 and -3 are

-2.1, -2.5 and -2.75  which can be written as:

- 21/10, -5/2 and -11/4.

A feed trial to compare three dietary supplements was conducted using 24 pigs of approximately the same body weight. The 24 pigs came from four litters, with each of the four litters containing six pigs. Within a given litter, the six pigs were randomly assigned to the three dietary supplements, with two receiving each supplement. The pigs were housed in 24 identical pens and fed their assigned diets under identical conditions. This is an example of a block design. What are the blocks in this design?a. The 24 different pigsb. The three different dietary supplementsc. The four different littersd. The 24 identical pensIt is don't D

Answers

The blocks in this design are c. the four different litters. The pigs within each litter were grouped together as a block, and the three dietary supplements were randomly assigned to the two pigs within each block.

This helps control for any variation between litters that could affect the results of the feed trial. The 24 identical pens are not the blocks in this design, but rather the units where the treatments were applied.

A litter is defined as the live birth of several young at once in an animal from the same mother and typically from the same pair of parents, especially three to eight young. The term is most frequently used to refer to the offspring of mammals, although it can also refer to any animal that bears numerous offspring.

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O Find f o g, g o f, and g o g. f(x) = 3√x-1, g(x) = x^3 + 1 X- (a) fog (b) gof (c) gog

Answers

The compositions are:

(a) f o g(x) = 3x³²

(b) g o f(x) = 81x√x - 30√x + 1

(c) g o g(x) = x⁹ + 3x⁶ + 3x³ +

To find f o g, g o f, and g o g, we need to substitute the functions f(x) and g(x) into each composition and simplify the expressions.

(a) f o g:

f o g(x) = f(g(x))

f o g(x) = f(x³ + 1)

f o g(x) = 3√(x³ + 1 - 1)

f o g(x) = 3√(x³)

f o g(x) = 3x³²

(b) g o f:

g o f(x) = g(f(x))

g o f(x) = g(3√x - 1)

g o f(x) = (3√x - 1)³ + 1

g o f(x) = (3√x - 1)(3√x - 1)(3√x - 1) + 1

g o f(x) = (27x - 9√x + 9√x - 3)(3√x - 1) + 1

g o f(x) = (27x - 3)(3√x - 1) + 1

g o f(x) = 81x√x - 27√x - 3√x + 1

g o f(x) = 81x√x - 30√x + 1

(c) g o g:

g o g(x) = g(g(x))

g o g(x) = g(x³ + 1)

g o g(x) = (x³ + 1)³ + 1

g o g(x) = (x⁹ + 3x⁶ + 3x³ + 1) + 1

g o g(x) = x⁹ + 3x⁶ + 3x³ + 2

So, the compositions are:

(a) f o g(x) = 3x³²

(b) g o f(x) = 81x√x - 30√x + 1

(c) g o g(x) = x⁹ + 3x⁶ + 3x³ +

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is the fraction 12/98 a perfect square??​

Answers

Answer:

No

Step-by-step explanation: By dividing 12/98 you would get a decimal(0.12244897959) by this not being a whole number it can not be a perfect square.

No
because when u divide that you get a decimal

A technique is set at 20 mA, 100 ms and produces 300 mR intensity. Find the new time (ms) if the current is doubled and the intensity is constant

Answers

Using inverse square law, the time when the current is doubled and the intensity remains constant is 25ms

What is the new time when the current is doubled?

To find the new time (in milliseconds) if the current is doubled and the intensity remains constant, we can use the concept of the Inverse Square Law in radiography.

According to the Inverse Square Law, the intensity of radiation is inversely proportional to the square of the distance or directly proportional to the square of the current. Therefore, if the current is doubled, the intensity will be quadrupled.

Given that the initial intensity is 300 mR (milliroentgens) and the current is doubled, the new intensity will be:

New Intensity = 4 * Initial Intensity = 4 * 300 mR = 1200 mR

Now, we need to find the new time required to produce this new intensity while keeping the intensity constant. Since the intensity is directly proportional to the square of the current, we can set up the following equation:

(New Current / Initial Current)² = (Initial Time / New Time)

Squaring both sides:

(2 / 1)² = (100 ms / New Time)

4 = 100 ms / New Time

Cross-multiplying:

4 * New Time = 100 ms

New Time = 100 ms / 4

New Time = 25 ms

Therefore, if the current is doubled and the intensity remains constant, the new time required would be 25 milliseconds.

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Find the slope of each line defined below and compare their values.
Equation of Line A:
5
y=-=x- 5
3
Submit Annua
Select values from Line B:
The slope of Line A is
of Line A is
X
-8
-6
-4
-2
0
0
-1
-2
-3
-4
and the slope of Line B is
the slope of Line B.
Therefore the slop

Find the slope of each line defined below and compare their values.Equation of Line A:5y=-=x- 53Submit

Answers

Answer: slope of A is -5/3 and the slope of B is -1/2

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will be P81,000 per year. Taxes and insurance will be 4% of the first cost per year. The company expects capital to earn not less than 25% before income taxes. Determine the ERR of the project. a. 23.7% b. 24.5% c. 25.9% d. 22.4% Find the mean for the number of yards gained by Roger during his seven carries in thefootball game: {2, 6, 20, 11, 8, 12, 4}.A 08B 09C 63D 07 A region is in the middle of a very cold and snowy winter. As a result, hot chocolate has become more desirable, and many of the shipping channels for imported goods have closed due to the weather. What will happen to the price and quantity sold of hot chocolate made with imported cocoa? a client who has been taking acetaminophen 1000 mg every 4 hours presents to the urgent care center with increased abdominal pain, elevated alt, ast, and bilirubin levels. the nurse suspects the client is experiencing: The magazine Sports Illustrated asked a random sample of 750 Division 1college athletes, "Do you believe performance-enhancing drugs are aproblem in college sports?" Suppose that 30% of all Division I athletesthink that these drugs are a problem. Let p be the sample proportion whosay that these drugs are a problem. The sampling distribution of p isapproximately Normal becauseThere are least 7570 Division I college athletesnp = 225 and n(1-P) = 525a large sample size like n = 750 guarantees itthe sampling distribution of p always has this shapea random sample was chosen A new car valued at $20000, depreciates at 8% per year. What is the value of the car one year after purchase? 3. In which ways was Trevor treated differently by his family, when he was very young?Trevor's grandmother didn't spank him the way she spanked his cousins.true or false when auditing treasury stock, one will normally expect to see an entry in which journal?multiple choicecash disbursements.cash receipts.purchases.sales. I NEED HELP, WILL GIVE BRAINLIEST TO CORRECT ANSWER!Polygon FLAME has coordinates (6,2), (3,4), (5,1), (1, 4), and (2, 5). What is the perimeter of Polygon FLAME? Approximate all calculated values to the tenths place. Why is there need of a Standard Time? The rules of subject matter jurisdiction determine:whether a case is heard in state or federal court.whether a bench trial should take place.whether punitive damages are j. p. morgan trader bruno iksil placed a giant risky trade and lost $6 billion for the bank. his boss and assistant conspired to cover up the losses by filing false reports. these crimes are known as: A bond is issued 5 year bond at 15% coupon rate.The market interest rate for the bond is 18%.What is the current bond price? Assuming thebond is semi-annually compounding. find the red area give that the side of the square is 2 and theradius of the quarter circle is 1. semiconductor saturable absorber mirrors (sesams) for femtosecond to nanosecond pulse generation in solid-state lasers To check the area on the right side of your vehicle, you should: |x+10|, if x=-12Ahhhh I'm not sure how to do this Let f(x,y)=6y5x+1 Evaluate f(1,2). Which of the following statements regarding digestion and absorption of carbohydrates is TRUE? Lactose intolerance results from an insufficiency of the enzyme amylase. Digestible polysaccharides are broken down into the monosaccharides glucose, galactose, and fructose, which can be absorbed. Sucrose is the main form of carbohydrate that can be absorbed by active transport across the intestinal epithelium. Carbohydrate digestion begins in the stomach. Cellulose from plants is a polymer of glucose that can be easily digested and absorbed by the human GI tract. Need help on this question ASAP please please and thank you!