Three consecutive integers are n, n, +1 and n+2. 4 times the sum of the least and greatest integers is 12 less than three times the least integer. What is the least integer?

Answers

Answer 1

Answer:

The smallest integer is -4.

Step-by-step explanation:

4(n + n+2) = 3*n - 12                          Combine the left

4(2n + 2) = 3n- 12                              Remove the brackets

8n + 8 = 3n - 12                                 Subtract 3n from both sides

8n-3n + 8 = 3n-3n - 12                      Combine

5n + 8 = - 12                                      Subtract 8 from both sides

5n = - 12 - 8

5n = - 20                                           Divide by 5

5n/5 = -20/5    

n = - 4

n + 1 = -3

n + 2 = - 2


Related Questions

A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.
Provide your answer below:

Answers

Answer:

12

Step-by-step explanation:

Pythogorean Theorem:

a squared + b squared = c squared

9 squared or 81 + ? squared = 15 squared or 225

Inverse Pythagorean Theorem:

c squared - a squared = b squared

225 - 81 = 144

sqrt (144) = 12

12 = b

Hope this helps! Good luck!

Can someone factor f(x)= 2x^4 -12x^3 +6x +20x and please show steps thank you

Answers

Answer:

I dont think the way you wrote it was right.

Step-by-step explanation:

Answer:

f(x) = 2x(x - 5)(x -2)(x + 1)

Step-by-step explanation:

Given

f(x)= 2x^4 -12x^3 +6x^2 +20x

Factoring in steps

f(x)= 2x^4 -12x^3 +6x^2 +20x =2x(x^3 - 6x^2 + 3x + 10) =2x(x^3 - x^2 - 2x - 5x^2 + 5x + 10)2x(x - 5)( x^2 - x - 2) = 2x(x - 5)(x -2)(x + 1)

In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate. On election day, 51% of voters actually voted for the Republican presidential candidate. (a) Identify the value of the sample proportion.

Answers

Answer: 0.48 .

Step-by-step explanation:

The sample proportion is a ratio of number of successes in a sample to the sample size.

Let p be the proportion of voters actually voted for the Republican presidential candidate.

Given:   In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate.

Sample proportion: [tex]\hat{p}=\dfrac{48}{100}=0.48[/tex]

Hence, the sample proportion is 0.48 .

12x64, 7th grade math

Answers

Answer:

768

Step-by-step explanation:

Answer:768

Step-by-step explanation:

help!! math question!

-4[tex]\frac{2}{5}[/tex] ÷ ( -5)

Answers

Answer:

is 22 over 25 and in decimal will be 0.88

Your answer would be -22
——
25

Which interval for the graphed function has a local minimum of 0?

Answers

Answer: your answer would be   [2, 4]

Step-by-step explanation:

tell me if im wrong please

Find the slope. (4,2) (7, 6.5)​

Answers

Answer:

B.

Step-by-step explanation:

m=y2-y1/x2-x1

6.5-2=4.5

7-4=3

4.5/3=1.5

the slope is 1.5

hope this helps :3

if it did pls mark brainliest

which of the following statements is true?

A: 1.7 less than 1 1/2

B: 3/4 less than pr equal to 7/8

C: -1 1/2 less than -1.5

D:0.01 greater than 0.q​

Answers

Answer:

the answer will be A 1.7 less than 1 1/2


Please answer this question! as fast as possible please anyone help

Answers

the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be

y=3x+-3

Hannah invested $820 in an account paying an interest rate of 1.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 16 years?

Answers

Answer:

$1,093.67 = $1,100 rounded to th next $100

Step-by-step explanation:

Final investment value

$1,093.67

Total interest earned

$273.67

Initial balance

$820.00

Total monthly deposits

$0.00

Effective Annual Rate (APY)

1.816%

The formula used in the compound interest calculator is A = P(1+r/n)^(nt)

A = the future value of the investment

P = the principal investment amount

r = the interest rate (decimal)

n = the number of times that interest is compounded per period

t = the number of periods the money is invested for

Answer:

1100

Step-by-step explanation:

- What is the equation and the slope of the line shown on the grid?

Answers

Answer:Undefined

Step-by-step explanation: The line is going straight so it makes it undefined

Please help. I’m confused and dumb-

Answers

Alternate Interior,corresponding are correct and you are not dumb!

The residual for a predicted relative abundance when the rainfall was 3 inches is 1.25. What is the actual relative abundance when the rainfall was 3 inches

Answers

Answer:

The actual relative abundance will be "7.59".

Step-by-step explanation:

The residual on something like a curve anywhere at a point becomes expressed as the maximum at either the position between some of the real y-value as well as the expected y-value. Consequently, the difference regarding true relative abundance as well as expected relative abundance seems to be 1.25 whether we presume that the x-variable represents rainfall, as well as they-variable, represents the relative abundance of locusts.

The predicted relative abundance for 3 inches rainfall will be:

= [tex]6.7 - (0.12\times 3)[/tex]

= [tex]6.34[/tex]

The residual will be:

= [tex]actual - predicted \ relative \ abundance[/tex]

= [tex]1.25[/tex]

Now,

The actual relative abundance will be:

= [tex]1.25 + predicted \ relative \ abundance[/tex]

= [tex]1.25 + 6.34[/tex]

= [tex]7.59[/tex]

Remember that perhaps the residual positive value means that even the calculation underestimates the relative abundance. The real relative abundance, however, is 7.59.

The cost of 24 pounds of cat food is $54. What is the cost per pound of cat food?
O $2.20
O $2.50
O $2.00
O $2.25

Answers

the cost per pound of cat food is $2.25

Answer:

$2.25

Step-by-step explanation:

To find the cost per pound you have to divide $54 by 24.

Heeeeellpppp
x^5 + 6x + 11x + 6 = 0

Answers

Answer:

The answer for x is

x=0.35262048

Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

Answers

Complete question is;

Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.

Answer:

Deposits are; +21.68, +42.09, and +65.44.

Withdrawals are; -4.64, -23.11, and -9.78

Step-by-step explanation:

We are told that the deposits are;

$21.68, $42.09, and $65.44.

Now, she withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

We are told to write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.

A rational number is a number that can be expressed as the ratio of two integers. In this question, by inspection, all the given values for deposits and withdrawals can be expressed as the ratio of 2 integers.

Thus;

Deposits are; +21.68, +42.09, and +65.44.

Withdrawals are; -4.64, -23.11, and -9.78

Round 985, 932 to the nearest thousand.

Answers

Answer:

900

Step-by-step explanation:

Use: Ck
n!
k! (n-k)!
to solve the combination.
During a lunch seminar chocolate,
caramel, and strawberry toppings
were available. How many two-topping
sundaes are possible?

Answers

Answer:

3

Step-by-step explanation:

Chocolate-caramel

Carmel- strawberry

Chocolate-strawberry

That’s 3 ways.

Sasha traveled 200 miles in 4.5 hours at this rate how many miles can you travel in 10 hours round your final answer to the nearest mile

Answers

Answer:

844miles

Step-by-step explanation:

its 844 miles

If a data set is negatively skewed, which would be the best measure of spread? Select one:

Interquartile Range

Standard Deviation

Range​

Answers

Answer:

Not real sure, but it should be Standard Deviation, if a data set is negatively skewed it would need a good measure for data spread.

Jack spent $6.34 on haircut. $35.70 on groceries and $18.77 on a cake. How
much money has he left, if he had $88.76 to start with?

Answers

$88.76 - $6.34 - $35.70 -$18.77 = $27.95

What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, .
ΟΟΟΟ
-6
-4
4
6

Answers

The sequence you add 6 each time so I say 6

Mr. Granados deposited $5,300 into an account. He made no additional deposits or withdrawals. Mr. Granados earned 6.5% annual simple interest on the money in the account. What was the balance in dollars and cents in Mr. Granados' account at the end of 6 years?

Answers

5,300. 6.5. 6 is how you get the answer

HELP ME I WILL GIVE BRAINLIEST California has a population of approximately 4 × 10^7 people and South Dakota has a population of approximately 8 × 10^5 people.

Answers

Answer:

40000000 800000

Step-by-step explanation:

whats the question here?

Answer:

California has a population of 40,000,000

South Dakota has a population of 800,000

Step-by-step explanation:

Not sure exactly what the question is

What are the x-intercepts of this quadratic function? g(x) = - 2(x - 4) * (x + 1)

A. (- 4, 0) and (- 1, 0)
B. (4, 0) and (- 1, 0)
C. (- 4, 0) and (1, 0)
D. (4, 0) and (1, 0)

Answers

I believe it’s C, but please correct me if I’m wrong!

Hi,

The correct answer is B.

The equation is g(x) = -2(x − 4)(x + 1).

In this equation (x - 4) and (x + 1) are the x-intercepts. In this form (x - 4) and (x + 1) are zeros.

Therefore the x-intercepts are (4,0) and (-1,0).

XD

PLEASEEE SOMONEE HELP ASAP!!
If the pattern shown continues how many black keys appear on a keyboard with 35 white keys ?

Answers

Answer:

25 black keys

Step-by-step explanation:

Let the number of requires black keys = 'x'

White key : Black keys = 7 : 5

7 : 5  :: 35 : x

Product of extremes = product of means

             7 *x = 35 * 5

                  x = [tex]\frac{35*5}{7}[/tex]

                 x = 5 *5

                 x = 25

PLLLLLLLLLLLLLLLZZZZZZ HELP IVE BEEN STUCK ON THIS ONE

Answers

Answer:

yeet device and hope it breaks.

Step-by-step explanation:

Take a picture and say it died

What is the answer here

Answers

Answer is B. 6a/b^7

If correct make brainliest?

the length of a rectangle is 7m more than twice the width, and the area of the rectangle is 99m to the second power. find the dimensions of the rectangle.​

Answers

Answer:

The area of a rectangle is 99 m^2 , and the length of the rectangle is 7 m more than double the width

Step-by-step explanation:

just need the answer

Answers

Answer:

the pic is black send another one

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