The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the value of the larger integer.

Answers

Answer 1

Answer:

The numbers can be written as x and x + 1. Set the product of the numbers equal to 1,332 to get x(x + 1) = 1,332. You can solve the quadratic equation by using the quadratic formula, completing the square, or factoring. When you solve the quadratic equation, you find that x = –37 and 36. Since the question asked for positive integers, the only viable solution is x = 36. To solve for the larger integer, you add 1 to 36 to get an answer of 37.

Step-by-step explanation:

sample response

Answer 2

The first consecutive number is 36 and the second consecutive number is 37.

What are the consecutive numbers?

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Let the first consecutive number be x and the second consecutive number be (x+1).

The product of two consecutive positive integers is 1,332.

[tex]\rm x\times (x+1)=1332\\\\x^2+x=1332\\\\x^2+x-1332=0\\\\x^2+37x-36x-1332=0\\\\x(x+37)-36(x+37x)=0\\\\(x+37)(x-36)=0\\\\x+37=0, \ x=-37\\\\x-36=0, \ x=36[/tex]

(Ignoring the negative value of x).

The first consecutive number = x = 36

The second consecutive number = x+1 = 36 + 1 = 37

Hence, the first consecutive number is 36 and the second consecutive number is 37.

Learn more about consecutive numbers here;

https://brainly.com/question/12556742

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Related Questions

15 POINTS PLSS HELP THIS IS MY 3RD TIME POSTING THIS BC NO ONE WILL HELP ME PLSSS AND NO WRONG ANSWERS PLS I REALLY NEED HELPP

Answers

Answer:

to find the equation of the line you use y=mx+b

Step-by-step explanation:

m means the slope and the b is the y intercept of the line. so in this case the b is 5. the m is 6 so the answer is y=6x+5

Jayden is trying to pick out an outfit for the first day of school. He can choose from 2
pairs of pants, 3 t-shirts, and 6 pairs of shoes. How many different outfits does
Jayden have to choose from?

Answers

Answer:

36

Step-by-step explanation:

Use the counting principle.

2 * 3 * 6 = 36

Answer: 36

Answer: 30 outfits

Step-by-step explanation:

2 x 5 x 3 =30

There are about 23 Hershey kisses in an 11-ounce bag of candy. Write and solve a proportion
that you can use to find the number of Hershey kisses in a 5-ounce bag.

Answers

Answer:

about 10 hershy kisses

Step-by-step explanation:

Sorry If wrong :(

PLS HURRY! ANSWER FOR BRAINLY.

question:

Which statement best describes the equation
x = 3?
A. The equation can not be graphed.
B. The equation represents a function, but not a linear function.
C. The equation represents a linear function.
D. The equation represents a line, but not a linear function.

Answers

Answer:

D

Step-by-step explanation:

A: Not A. It can be graphed. It is a vertical line where x = 3. Every point must have an x value of 3. (3,4), (3,0), (3.- 6) are all on x = 4. It can be graphed, but it is not a function.

B:  Not B. It is not a function at all. To be a function, it can only have 1 y value associated with it.

C: It's not a linear function because it is not a function.

D is your answer

This equation shows how the amount of time that a receptionist named Terrence spends on the phone is related to the number of phone calls he routes to employees.

t = p + 17

The variable p represents the number phone calls he routes, and the variable t represents the number of minutes he is on the phone. In all, how many phone calls does Terrence have to route to spend a total of 20 minutes on the phone?

phone calls

Answers

hmmm I dunno sorry ......

Del enunciado: " De cada 2 conejos, hay 5 gallinas" ¿cuál es la razón entre gallinas y total de animales? *

Answers

Answer:

La razón entre el número de gallinas y el total de animales es: [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

La razón es una comparación entre dos magnitudes comparables.

En otras palabras, la razón es el cociente entre dos números o dos cantidades comparables entre sí, expresado como fracción.

En este caso, la cantidad total de animales es la suma de la cantidad de conejos y la cantidad de gallinas:

2 conejos + 5 gallinas= 7 animales

Entonces la razón entre el número de gallinas y el total de animales es: [tex]\frac{5}{7}[/tex]

Vertex:
Vertex form:​

Answers

2.5 and the other form 4

Answer:

y = (x + 1) - 4

Step-by-step explanation:

Vertex Form: y = a(x-h)^2 + k

First, we need to find the parent function. The parent function is (0,0)

Then we need to find where the parabola moved. WE don't need to look at the curved line, we just need to focus on the vertex. We see that the vertex is (-1,-4) Which means the vertex moved one unit towards the left and went down 4 units.

Now it is time to make the actual equation. First, we start with y=

y =

Now we need to put in the  (x - h)^2. We see that the graph moved one unit towards the left, so we plug it in with h. Also, keep in mind, the graph isn't being stretched vertically, so the term is 1.

y = 1(x -- 1)^2 = 1(x + 1)^2

Now we need to find the k. The k term is how the graph changed by the y axis. Since it moved down 4 units. We can plug in -4.

y = 1(x + 1) + (-4) = 1(x + 1)^2 - 4

Our final answer is:

y = 1(x + 1) - 4

six and fifty-three hundredths as a decimal-


Yes, I'm D-U-M-B!

Answers

Answer:

6.58

Step-by-step explanation:

ahahahaha lol

Answer:

6.58

i hope this helps:)

Step-by-step explanation:

brainliest please?

HELPP ILL PUT YOU THE BRAINIEST The set of all values that a function can take as inputs is called the

Answers

it is the domain i think

Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10.

Answers

Step-by-step explanation:

Nsjssjsjsjshsnmsksjnsnsns

hello I need help in this​

Answers

There are 22 books total on the shelf and 9 of them are biographical books so the probability is 9/22

PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!

Answers

Answer:

it's arm will regenerate and grow back

plz mark me as brainliest

Answer:

B. The arm will regenterate

Jonah has two small bags of assorted doughnuts. Each bag contains exactly 8 powdered doughnuts.
Bag 1 contains 20 total doughnuts.
Bag 2 contains 24 total doughnuts.
What is the probability of Jonah grabbing
a powdered doughnut from
Bag 1?

Answers

Answer:

There is a 40% probability of Jonah grabbing  a powdered doughnut from  Bag 1.

Step-by-step explanation:

Total number of doughnuts in the bag 1 =20

Total powdered doughnuts in each bag = 8

Probability of selecting powdered doughnut from  Bag 1 by Jonah =

[tex]\frac{8}{20} * 100\\40[/tex]%

On a certain hot summer's day, 344 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $537.00. How many children and how many adults swam at the public pool that day?​

Answers

Answer: 302 children and 42 adults

Step-by-step explanation:

x= Children y= Adults

x+ y = 344

1.50x + 2y= 537

Then I would use elimination and multiply the first equation by -2.

-2x-2y= -688

+1.5x+2y= 537

Add the equations and get

-0.5x= -151

Divide by -0.5

x= 302

Then plug x back into the equation.

302+y=344

Subtract 302 from both sides.

y=42

Hiroto reduces a rectangular photograph by 0.5 by scanning it onto his computer. The image on the screen measures 3 inches by 5 inches. Which rectangle represents the original photograph? Rectangle A B C D Width 1.5 3.5 6 15 Length 2.5 5.5 10 25 A B C D

Answers

Answer:

C i think

Step-by-step explanation:

The money spent on gym classes is proportional to the number of gym classes taken. Max spent $45.90 to take 6 gym classes.
What is the amount of money, in dollars, spent per gym class?

Answers

Answer:

$7.65

Step-by-step explanation:

its the right answer, TRUST ME!!!!

Which is NOT true?
A 9 + 4 = 17 - 4
B 8 + 7 = 14 + 3
C 11 = 19 - 8
D 5 + 8 = 20 - 7

Answers

Answer:

B is not true

Step-by-step explanation:

8+7= 15 and 14+3= 17

15 is not equal to 17

Answer:

B is the one equation that is NOT true.

Step-by-step explanation:

A: 9+4 is 13, and 17-4 is 13 as well. This equation is true, 13=13.

B: 8+7 is 15, and 14+3 is 17. This equation is false, because 15 is not equal to 17. Although we have our answer, we need to still check the other equations.

C: 11 is, well, 11, because nothing changed on that side of the equation. 19-8 is 11, so this is true because 11=11.

D: 5+8 is 13, and 20-7 is 13. This equation is also true, because 13=13.

The only equation that is not true, is B. (8+7 = 14+3)

Is the equation cosine theta - sine theta =1 an identity? Explain

Answers

Answer: No, because an identity is an equation that is always true and cos(theta) - sin(theta) does not always equal 1.

Hope this helped! :)

Carly loves to run while Riley prefers walking. Carly can run 3 miles per hour faster
than her sister Riley can walk the same distance. If Carly ran 15 miles in the same time
it took Riley to walk 9 miles, which equation can be used to find the speed of each
sister?

Answers

Answer:

Step-by-step explanation:

Write 3^4 in expanded form. (3^4 means 3 raised to the fourth power.)

A: 3x3
B :3x3x3
C: 3x3x3x3
D: 3x3x3x3x3

Answers

Answer:

c because 3.3.3.3 is 3 to the 4th power expanded

what is the range of the following data set ? 16, 19, 24, 27, 29, 32, , 33, 34

Answers

The range is 18. Hope this helps!

A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bagels, and z onion bagels. Which expression represents the total amount Max spent at the bakery?
A.
1.09x + 1.59yz
B.
1.09x + 1.59y + 1.59z
C.
1.09x + 3.18(y + z)
D.
(1.09 + 1.59)(x + y + z)

Answers

Answer:

The answer is B.

Step-by-step explanation:

Answer:

B.

1.09x + 1.59y + 1.59z

I hope this helps

what is the volume of the following prisim? i will be so grateful

Answers

Answer:

i dont know this is to hard

Step-by-step explanation:

pay back for saying that on my question  

A company rents out 18 food booths and 26 game booths at the county fair. The fee for a food booth is $100 plus $10 per day. The fee for a game booth is $95 plus $5 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

4,270 + 310d

Step-by-step explanation:

Let

d = number of days

Each food booth = 100 + 10d

18 food booth = 18(100 + 10d)

= 1,800 + 180d

Each game booth = 95 + 5d

26 game booth = 26(95 + 5d)

= 2,470 + 130d

Total amount the company is paid = total cost of food booth + total cost of game booth

= (1,800 + 180d) + (2,470 + 130d)

= 1,800 + 180d + 2,470 + 130d

= 1,800 + 2,470 + 180d + 130d

= 4,270 + 310d

Total amount the company is paid = 4,270 + 310d

How can this expression be written another way?
32k + 24
Factor using the distributive property and the greatest common factor to write an equivalent expression
Enter your answer by filling in the boxes
32k + 24 = __ (__)

Answers

32k + 24 = 8 (4k + 3)

Hope this helps

Evaluate the expression 6 + 5 × 32 - 8.

43
11
6
91

Answers

Answer:

158

Step-by-step explanation:

All i know is that these answer choices cannot be found in the calculator

Answer:

158.....

PEMDAS

you multiply first 6+160-8

then you add or subtract

158

If you add Natalie's age and Fred's age, the result is 42. If you add Fred's age to 3 times
Natalie's age, the result is 70. Write and solve a system of equations to find how old Fred and
Natalie are.

Answers

Answer:

N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28

Step-by-step explanation:

Using variables N=natalies age and F=Freds age

N+F=42 ----> N=42-F (take this and plug it into the other equation)

F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]

-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]

So N+28=42 or N=14.

anybody can help me with this

Answers

The answer is 21.08241 because for an approximate result, multiply the length value by 1609

Answer:

the answer is a/ 21 kilometers

How do you find the product of 3x^2y^5 and 4x^3y^7

Answers

Answer:

S

=

{

(

2

,

5

)

}

Step-by-step explanation:

Two thirds of the money in my pocket is 50 cents. a, what is one third of the money in my pocket​

Answers

Answer:

25 cents

Step-by-step explanation:

1.) Set up an equation you can solve from the wording of the question:

(2/3)*m = 50, where "m" represents the money in your pocket.

2.) Solve for that equation:

m = 50*(3/2) = 150/2 = 75, so now you know the money you have in your pocket is 75 cents

3.) Multiply the money you have in your pocket by 1/3 to find 1/3 of the money you have in your pocket:

75*(1/3) = 25

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