The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.

The equation that describes the situation is __________________
The positive set of integers is _________________
The negative set of integers is _________________

Answers

Answer 1

9514 1404 393

Answer:

x(x+2) = 637, 9-9, -7

Step-by-step explanation:

If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...

  x(x +2) = 63

__

The equation can be rewritten as ...

  (x +1)² = 64

  x = -1 ±√64 = -1 ±8

The positive solution is x=7, so the positive set of integers is {7, 9}.

The negative solution is x=-9, so the negative set of integers is {-9, -7}.


Related Questions

Which value of x makes the equation 9=34x true?
Select one:

x = 12

x=814

x = 6

x=634

Answers

did you write it wrong none of the options are possible answers the real answer is 9/34

Xavier writes a ratio out of 18 as the decimal 0.22222222.

Answers

Answer: 4/18

Step-by-step explanation:

The ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Xavier writes a ratio out of 18 as the decimal 0.22222222.

Let's suppose the x out of 18 can be written as 0.22222222

x/18 = 0.22222222

x = 3.999999 ≈ 4

It means 4/18 can be written as 0.22222222

Thus, the ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

Find the volume of the sphere. Round to the nearest tenth.

The volume is about _____ cubic meters.

Answers

Could You explain more I cannot Under stand Or see the Picture

Write and solve an equation to determine the height of a rectangular prism
with a width of 6 millimeters, a length of 20.5 millimeters, and a volume
of 984 cubic millimeters.

PLEASE HELP

Answers

Answer/Step-by-step explanation:

H = V/lw

H = 984/20.5*6

H = 984/128

H = 8

ANSWER:

H = 8

A cafeteria worker can make 18 cheese sandwiches in 4 minutes. At that rate, how many cheese sandwiches can he make in 14 minutes?

Answers

Answer

63

Step-by-step explanation:

18*3=54

18/2=9

63

Answer:

63

Step-by-step explanation:

18 divided by 4 is 4.5

4.5 times 14 is 63

Not sure if this is correct but i hope it is

Ed's dog Zoe ate almost 18% of the 4 dozen cookies he baked.
Which is the best estimate of the number of cookies Zoe ate?

Answers

Answer:

.72 or 1

Step-by-step explanation:

it is .72 in decimals but if you wanna round up to a whole number it's 1

PLSS help me ☝............

Answers

Answer:

New Coordinates: G'(0,4) Y'(3,3) M(3,7)

Movement: Translation 3 units up

Step-by-step explanation:

Since you're adding to the y-coordinate, your points will move up which makes this a translation

who is the current vice president of the us? is this a statistical question or a non statistical question why or why not? Explain your answer

Answers

Answer:

The current vice president (as of 4-16-2021) of the U.S. is Kamala Harris. This is a non-statistical question.

Step-by-step explanation:

A statistical question can be answered by collecting data and where there will be variability in that data. The proposed question (Who is the current vice president of the U.S.?) does not allow for variability in the data as there is only one legitimate answer to the question, thus it is NOT a statistical question.

Answer: statistical question

Step-by-step explanation:

cause your asking the current vice president.

A tutor earns $220 for 4 hours of tutoring. At the same rate, how much would the tutor earn for 3 hours of tutoring?

A. $150
B. $155
C. $165
D. $180

Answers

The answer choice that is correct is
C

can anyone solve these and show work? please help a girl out lol

Answers

17) 45-45-90 triangle so
45 | 45 | 90
n | n | n root 2
15 | x

n=n=x=15 u

y is hypotenuse, since 15 is n, hypotenuse is gonna be n root 2 so 15 root 2



18) 30-60-90 triangle

30 | 60 | 90
n | n root 3 | 2n
x | y | 15

2n=15
n=7.5=x
7.5 root 3=y

Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answers

Answer:

 

Step-by-step explanation:

Kristy is going to a college where tuition is $8,000 per year. She has a scholarship that pays 80% of tuition. Her aunt is giving her $1,000 per year. How much will Kristy need to borrow to pay tuition each year?​

Answers

8,000 x .80= 6,400
8,000-6,400= 1,600
1,600-1,000= 600 that is the amount of tuition she will need to pay each year.

What is 10×25 to the sixth power

Answers

Answer:

2.4414063e+14 (wow such a large number)

Step-by-step explanation:

10x25= 250

250 to the 6th power = 2.4414063e+14

A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.
.
Complete the sentence about the height of the prism.

The height of the prism is _____ inches,square inches,cubic inches

Answers

Answer:

I believe the answer would be 1575 cubic inches. Sorry if i'm wrong!

Answer:

The answer is 7 square in

Step-by-step explanation:

Do this formula

V=Bh

105=15h

h=7 square in

Ms. Vasquez's daughter lives 1,650 miles away. Ms. Vasquez won a gift card for 100 gallons of gas. If her car can travel 35 miles on each gallon, can she travel roundtrip to see her daughter on free gas? Explain how you know.

Answers

Answer:

yes, since it takes 48 gallons of gas to go one direction to go back it is 96

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If her daughter lives 1,650 miles away, and her gift card is for q00 miles of gas, and her car can travel 35 miles on each gallon, it would take about 47 gallons to make the 1,650 mile trip to her daughter. Leaving 53 gallons on her car.

To make the 1,650 mile trip back to her own home, it would take another 47 gallons. Since she still has 53 gallons left from her trip there, she will be able to make the trip back with still 6 gallons in her tank.

1) Solve 2 + 7x + 12 = 0 using factoring and the zero product property.

a) Factor2+7x+12

b) Use the zero product property to solve for x







b) Use the zero product property to solve for x

Answers

Answer:

7x+14=0, 7x=-14, x= -2

Step-by-step explanation:

add like terms, then get x on one side, number on the other, then divide both sides by 7

The function, f(x), is plotted below.



Evaluate the limits, if they exist. If not, write DNE.

Limit as x approaches negative 1 minusf(x) =

Limit as x approaches 3 plusf(x) =

Limit as x approaches 1 f(x) =

Answers

Answer:

1

2

DNE

Step-by-step explanation:

find the circumference and the area of a circle with the diameter of 8 m.

Answers

Answer:

circumference = 8 x 3.14 = 25.12 m

area = 3.14(4²) = 50.24 m²

Step-by-step explanation:

Answer:

C= about 25.13

A= about 50.27

Step-by-step explanation:

The formula for circumference is 2* pi* r

The formula for area is pi *r^2

Tristian has 35 rock songs, 50 dance songs and 15 rap songs on his play list. If his music player randomly selects a song, what is the probability that it is a dance song?

Answers

Answer:

1/2

Step-by-step explanation:

35+50+15 = 100

probability of the dance song = 50/100 = 1/2

Answer:50%

Step-by-step explanation:

35+15+50=100

50 divided by 100 is 0.5 or you can do it as a fraction and get 50/100

Please read the question and answer if you can 6th grade

Answers

Answer:

112 in

Step-by-step explanation:

14 x 8 = 112

The shaded region is half of the rectangle and also a triangle

Use formula: (L * W)/2
L = 14, W = 8
14 * 8 = 112/2 = 56
Solution: 56 in^2

A woman sold an article for $1400.00 and made a profit 25%. Find the cost price and the profit​

Answers

Answer:

$1120 and $280.

Step-by-step explanation:

$1400 = 125%

100% = $1120

The cost of the price was $1120.

$1400 - $1120 = $280.

The profit was $280.

Hope this helps!

Write the additive inverse and multiplicative inverse of 3-7i?

Answers

Step-by-step explanation:

additive inverse means multiplying 3-7i by it's conjugate which would be

(3-7i)(3+7i)=3^2+7^2=9+49=58

the multiplicative inverse of a number z is 1/z

1/(3-7i)

multiply numerator and denominator by 3-7i's conjugate and it equals 58

(3-7i)/58

3/58-7/58i

Hope that helps :)

Tell whether b=6 is a solution of 8b=48

Answers

Answer:

b= 6 for sure

Step-by-step explanation:

A cylinder has a height of 15 millimeters. Its volume is 10,597.5 cubic millimeters. What is the
radius of the cylinder?

Answers

Answer: 15

Step-by-step explanation: r=V

πh=10597.5

π·15≈14.9962


Helpppppppppppppooopp

Answers

Answer:

I can't see clearly

Step-by-step explanation:

3x+5y=30 complete the table of values​

Answers

Answer:

O

Step-by-step explanation:

A coffee shop recently sold 10 drinks, including 4 mochas. What is the experimental
probability that the next drink sold will be a mocha?
Simplify your answer and write it as a fraction or whole number.
P(mocha) =
Submit
Work it out
Not feeling ready yet? These can help:

Answers

Answer:

2/5

Step-by-step explanation:

IXl answer

The experimental probability that the next drink sold will be a mocha is 2/5.

Number of mochas =4

Total drinks =10

What is probability?

Probability is the quantification of possibilities.

P(event) = Favorable outcomes/ Total outcomes

P(mocha) = 4/10

P(mocha) =2/5 =0.4 or 40%

Thus, the experimental probability that the next drink sold will be a mocha is 2/5.

To get more about probability visit:

https://brainly.com/question/24756209

find the rate of change of the linear function from the point (0,8) to the point (24,4)

Answers

9514 1404 393

Answer:

  -1/6

Step-by-step explanation:

The slope (rate of change) is given by ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -8)/(24 -0) = -4/24 = -1/6

The rate of change of the linear function is -1/6.

_____

The equation is y = -1/6x +8.

CAn someone help me plsss

Answers

13.76

Divide 27.52 by 2 to get 13.76

Find the perimeter of the semicircular region

22 mm

Answers

Answer:

The permiter is 22mm since its still  the same

Step-by-step explanation:

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