Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers.

Answers

Answer 1

Answer:

the two consecutive negative integers are -2 and -1.

Step-by-step explanation:

Represent these negative integers by m and n.

Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.

Substituting m + 1 for n in the second equation, we get:

m^2 = m + 1 + 5, or

m^2 - m - 6 = 0

This factors into (m - 3)(m + 2) = 0.  The only negative root is -2.  

Thus, the two consecutive negative integers are -2 and -1.

Check:  Is the  square of the first five more than the second?

Is (-2)^2 = -1 + 5?  YES

The integers aer -2 and -1.


Related Questions

Sally had some marbles. After buying 12 more marbles, she had 25 marbles. How many marbles did Sally have before she bought more?

Answers

Answer:

13

Step-by-step explanation:

25 - 12 = 13

Answer:

13

Step-by-step explanation:

12 + 13 = 25 or 25 -12 = 13

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

There is really only one solution which is the third choice. When you are dealing with the equation in the form of y = mx + b, the b stands for the y-intercept. So, your y-intercept equals -1. When you are finding the x-intercept you can just substitute y for 0(the definition of x-intercept is where the graph crosses the x-axis, meaning y needs to be equal to 0) and you get that x equals 1/5.

There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom?
3 to 4
4 to 3
4 to 7
7 to 4

Answers

Answer:

3 to 4

Step-by-step explanation:

12÷4=3

16÷4=4

so that makes it 3 to 4

Just give me some ideas for this please.
Using what you know about fair and unfair games, as well as expected value, design a game that will be fair to both you and the player. Be creative in your design, trying not to mimic anything that you have already seen in this course or in searching the internet. Include a thorough description as well as a visual representation of the game that includes evidence of fairness.

Answers

Answer:

For game ideas, try to make a game that everyone will want to play. Make it fun, challenging, but still beatable, but not too easy. One thing you could do is a trivia game! With lots of different subjects so people can choose what they get questions about. Also, do a lot of research to get the questions! Hope this helped :)

Step-by-step explanation:

Answer:

KING OF QUESTIONS!!!

Step-by-step explanation:

Each player starts out with 10 tokens ( tokens can be anything I recommend spare change or coins. ) the tokens will be used as point tallies at the end of the game.  But to determine who goes first the question master asks a question from the starting deck( The easiest questions) and starting with player one the players answer and whoever answers with the correct answer will go first, the other players will form an orderly line from closest to the correct answer to farthest. ( If there are more than 1 successful answers you pull another card from the next deck. This is an increase in difficulty. And it will keep increasing until there is one person with the correct or closest answer or until they reach the end of the final deck. Remember that this event is highly unlikely) After this is done the game begins.  The question master asks a question the players will answer. The players that get it correct will receive 2 token. The players that do not but are close get 1 and the player to get the farthest from the correct answer loses 1 token. ( Tokens are worth 1 point.)

Roles:

Player 1 ( Answers the questions.)

Player 2 ( Answers the questions.)

Player 3 ( Answers the questions.)

Player 4 ( Answers the questions.)

Question Master & Token Master ( Asks the questions and gives the token to the correct answer. )

How to Win:

Quick Match- Play until a player reaches 30 tokens.

Long Match- Play until all but one player is eliminated.

Ways to Lose-  If a player loses all of there tokens or is cheating they are eliminated, this happens only when the player is caught cheating or stealing tokens from other players or when the player loses all of these tokens due to incorrect answers.

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% 40 % of this population prefers the color green. If 12 12 buyers are randomly selected, what is the probability that between 5 5 and 9 9 (both inclusive) buyers would prefer green? Round your answer to four decimal places.

Answers

Answer: 60% would like another color

Step-by-step explanation:

Urgent !!!! Can someone please help me

Answers

Answer:

The answer is D

Step-by-step explanation:

They are using 135 times the weeks, but the car already had 100 miles on it to start.  Juan buys a car that has 40 miles originally on it and he drives it 150 miles per week. So, the word problem is D

Help! Will give brainliest and 10 points!

Answers

Answer:

-3a^2 - 6a - 10

Step-by-step explanation:

You are subtracting 10a^2 + 6a + 2 from 7a^2 - 8.

You can set it up like the problem shows you, and subtract each term in the second line form a like term in the top line.

         7a^2            -8

(-)      10a^2 + 6a + 2

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

        -3a^2 - 6a - 10

Answer:  -3a^2 - 6a - 10

You invest $32,000 in an account that earns 5.75% interest compounded yearly. What is
the total amount of money you will have in the account after 20 years if you never
deposit any additional funds?

Answers

Answer:

$97,894.33.

Step-by-step explanation

I'll give brainliest

your options are:

a. 60
b. 120
c. 180
d. 40​

Answers

Answer:

the answer is A

Step-by-step explanation:

It is an acute angle but is larger than 40

The rent for an apartment was $6,600 per year in 2012. If the rent increased at a rate of 4% each year thereafter, use an exponential equation to find the rent for the apartment in 2021

Answers

Answer:

$9,393.78

Step-by-step explanation:

Using the equation:

A = P(1+r)^t

Where,

A = final amount

P = initial amount = $6,600

r = rate of increase = 4% = 0.04

t = time in years = 9 years (2012-2021)

A = 6,600(1 + 0.04)^9

= 6,600(1.04)^9

= 6,600(1.4233)

= 9,393.78

A = $9,393.78

Which of these are equivalent? NO LINKS. NEED HELP ASAP

Answers

Answer:

3 AND 6 - 2 AND 5!

Step-by-step explanation:

hope i helped!

The 2nd, 3rd, 5th, & 6th are the answers

The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?

Answers

Answer:

just interest = 251,550. Plus loan = 446,550

Step-by-step explanation:

195,000 x 0.043(interest as a decimal) = 8385 per year.

8385 x 30(years) = 251,550

The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.

What is compound interest?

Compound interest is applicable when there will be a change in principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given that

the principle amount of $195000

The rate of interest is 4.3%

Time period 30 years.

By compound interest formula

A = P × [tex](1 + 0.00r)^{n}[/tex]

where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.

A = $195000[tex](1 + 0.043)^{30}[/tex]

A = $689546.985

For more information about compound interest

https://brainly.com/question/26457073

#SPJ2

Solve the system using the substitution method. y = -5x – 13 6x + 6y = -6 please help me NO LINKS!

Answers

Answer:

Step-by-step explanation:

y=-5x-13

Since we know the value of y we can substitute it in

6x+6(-5x-13)=-6

6x-30x-78=-6

-24x=72

-x=3

x=-3

Now that we know the value of x we can solve Y

y=-5(-3)-13

y=15-13

y=2

f(x) = 9x-7. If f(x)= -7, find x.​

Answers

Answer: the answer is 56

Step-by-step explanation: since the f(x) is -7 it would be 9 times -7 then minus 7 and get the answer.

Help me please!!! ...................
........

Answers

Answer:

P = P (1 + r / n) ^ rt

Step-by-step explanation:

Work out
5.2
% of
628.55
km
Give your answer rounded to 2 DP.

Answers

18.63 is your answer please give brainliest!

A dump truck is filled with 82.162 pounds of gravel. It drops off 77.219 pounds of the gravel at a construction site. How much gravel is left in the truck?

Answers

Answer:

I believe the answer is 4.943 :)

Step-by-step explanation:

82.162-77.219= 04.943

find the volume of the 2 dice if the length of the base of the cube is 4cm

A) 64cm cubed
B) 96cm cubed
C) 108cm cubed
D) 128cm cubed​

Answers

Answer:

I think the answer is A 64cm cubed

How many 6-digit numbers are there in all?​

Answers

Answer:

900,000 6

∴ there are 900,000 6-digit numbers in all.

PLS HELP ME QUICK I NEED THIS GOOD GRADE PLS HELPPPP! Tell whether each statement is true or false. If false, provide a counterexample. The set of whole numbers contains the set of rational numbers. Every terminating decimal is a rational number. Every square root is a rational number. The integers are closed under addition.

Answers

Answer:

1. The set of whole numbers contains the set of rational numbers.  FALSE.

The set of integers contains the set of rational numbers

2. Every terminating decimal is a rational number.       TRUE

3. Every square root is a rational number.       FALSE

Many square roots are irrational numbers, meaning there is no rational number equivalent.

4. The integers are closed under addition.      TRUE

how do i find a unit rate​

Answers

Answer:

numerator divided by denominator

Step-by-step explanation:

numerator divided by denominator

What is the value of x? i will give brainliest please help

Answers

Answer:

I completely forgot how to do this I'm sorry

Step-by-step explanation:

I need help ASAP


How do I find the radius of a cone even if they don’t give the diameter


Who ever can answer this gets 30 points!!!

Answers

Answer:

dowload the link up the other one answer

Find the area of polygon MNOP formed by the coordinates given below.

M (8,5)
N (8,-4)
O (-7,-4)
P (-7,5)
A.
48 square units
B.
135 square units
C.
15 square units
D.
150 square units

Answers

Answer:

B

Step-by-step explanation:

got it right on edg

O There were 9 bags of
candy donated for the
neighborhood party.
Each bag contained
245 pieces. How much
candy did they have
for the party?

Answers

9*245 =2205
hope this helps

Help please
Mark True or False in the table on your answer document to indicate whether
each comparison is true

Answers

Answer:

1. false

2. false

3. true

Step-by-step explanation:

The Royal Fruit Company produces two types of fruit drinks. The first type is 30% pure fruit juice, and the second type is 80% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90 pints of a mixture that is 35% pure fruit juice?

Answers

Answer: I- 81 pints,  II-9 pints

Step-by-step explanation:

Given

The first type of juice has 30% pure Juice

The second type of juice has 80% pure Juice

The final mixture has 95 pints of 35% pure juice

Suppose we take x pints from the first Juice

So, the second Juice contributes 90-x

for 35% content

[tex]\Rightarrow 35=\dfrac{x\times 30+(90-x)80}{90}\\\\\Rightarrow 3150=30x+7200-80x\\\\\Rightarrow 50x=4050\\\Rightarrow x=81\ \text{pints}[/tex]

First contributes 81 pints. second contributes 9 pints

What is the equation of the following line please help

Answers

Answer:

C

Step-by-step explanation:

Someone please please help me on this problem

Answers

Answer:

81 Pesos

Step-by-step explanation:

Use a proportion.

$3 is to 2 Pesos as $121.10 is to x Pesos.

3/2 = 121.1/x

3x = 2 * 121.1

3x = 242.20

x = 80.7333...

Answer: 81 Pesos

A coastline recedes at a rate of 3cm per year. How much of the coastline dissappears after 4 years?

Answers

Answer:

12 cm of coastline

Step-by-step explanation:

Multiply the years (factor) by the receding amount, 3cm, (constant) BAM answer.

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