The operation * on the set Z of integers is defined by x*y = 3x + 2y - 1, x, y E Z. Find the value of x such that x*2=5​

Answers

Answer 1

Answer:

x = 2/3

Step-by-step explanation:

Let's unpack the equation [tex]x*2=5[/tex] from our definition of [tex]*[/tex]:

[tex]x*2=3x+2(2)-1=5[/tex] (where [tex]x\in \mathbb{Z}[/tex])

Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:

[tex]3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3[/tex]


Related Questions

Homework
Answers are given at the end of
the chapter
Q1 Change 0.035 g to milligrams.​

Answers

Answer:

the answer 0.035 g = 35 milligrams

Answer:

Step-by-step explanation:

35miligram in 0.035g

The diagram below shows some measurements taken from a new bridge. How long is the bridge?

 feet   


Answers

Answer:

1,737.3 feet

Step-by-step explanation:

Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.

Let the missing leg for each triangle be x and y respectively.

Length of bridge = x + y

✔️x = √(1115² - 860²) = √503,625

x ≈ 709.7 (nearest tenth)

✔️y = √(1340² - 860²)

y ≈ 1,027.6 (nearest tenth)

✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft

Un contratista que se dedica a la construcción de una casa descubrió que debía pagar: $ 1.100 al empapelador y al pintor $ 1.700 al pintor y al plomero $ 1.100 al plomero y al electricista $ 3.300 al electricista y al carpintero $ 5.300 al carpintero y al albañil $ 2.500 al albañil y al empapelador

Answers

Answer:

1.100+1.700+1=100+5.300+2..500

Find the indicated function values for the following function:
f(x) = 2x² - 3x + 4
7. f(-2) =
a. 18
b. 2
C. 6
d. none of the above

Answers

Answer:

7. A

8. C

Step-by-step explanation:

7. 2(-2)^2 - 3(-2) + 4 = 18 (A.)

8. 2(3a)^2 - 3(3a) + 4 = C

Giving brainliest and 30 points!!!
The table shows the balance of a money market account over time. Write a function that represents the balance in y (dollars) after t years

Answers

Answer:   y = 200·1.15^t

Step-by-step explanation:

The ratio from one year to the next is 1.15, so the balance is a geometric sequence. Since t starts at zero, we can write the balance (y) after t years as

 y = initial value · (common ratio)^t

 y = 200·1.15^t

Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be true if a) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) is true. b) P(0) and P(1) are true; for all nonnegative integers n, if P(n) and P(n 1) are true, then P(n 2) is true

Answers

Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

P(2) is trueP(4) is true P(6) is true

this simply means  that ;  P(n) is true for all 'n' in the set

{ 0,2,4,6,8 ….. }

b) since P(0) and P(1) are true

we will assume that

P( 0+2 ) = P(2)  is true

also P(1) and P(2) are true

we will assume that

P(1+2) = P(3)  is true

Also from the previous answers it can be seen that P(2) + P(3) is true

we will assume

P(2+2) = P(4)  is true

This simply means that P(n) is true for all 'n' in the set

{ 0,1,2,3,4,5 ............ }

what is 29 divided 3 and what is the remainder?

Answers

Answer:

9 remainder2

Step-by-step explanation:

Answer:

29 divided by 3 is equal to 9, with the remainder 2.

Step-by-step explanation:

 29 : 3 = 9

- 27

   (2)

4(A) The table given shows the change in price in a sale.
TV
Laptop
Normal
Dhs 2000
Dhs 1800
price
Sale price
Dhs 1750
Dhs 1440
(a) Calculate the percentage increase or decrease for
(0) TV and
) Laptop
(b) Which item has the best reduced price?
Cho can anyone help me ​

Answers

Answer:

(a)

[tex]\%Decrease= 12.5\%[/tex] --- TV

[tex]\%Decrease= 20\%[/tex] --- Laptop

(b) Laptop

Step-by-step explanation:

Given

Normal                       Sales

[tex]TV = 2000[/tex]                  [tex]TV = 1750[/tex]

[tex]Laptop = 1800[/tex]             [tex]Laptop = 1440[/tex]

Solving (a): Percentage increase of decrease for both

Percentage change is calculated as:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

For TV

[tex]\%Change = \frac{1750 - 2000}{2000} * 100\%[/tex]

[tex]\%Change = \frac{-250}{2000} * 100\%[/tex]

[tex]\%Change = -0.125* 100\%[/tex]

[tex]\%Change = -12.5\%[/tex]

It is a decrease because it is negative

[tex]\%Decrease= 12.5\%[/tex]

For Laptop

[tex]\%Change = \frac{1440 - 1800}{1800} * 100\%[/tex]

[tex]\%Change = \frac{-360}{1800} * 100\%[/tex]

[tex]\%Change = -0.2* 100\%[/tex]

[tex]\%Change = -20\%[/tex]

It is a decrease because it is negative

[tex]\%Decrease= 20\%[/tex]

Solving (b):

Laptop has the best reduced price  because it has a larger percentage decrease

64 Books on 4 Shelves how maany books per Shelf?

Answers

Answer:

256

Step-by-step explanation:

Answer:

16 is the answer because 64/4 is 16 so 16*4 is 64 meaning that there are 16 books on each shelf

Step-by-step explanation:

hope this helped

please answer! will give brainliest

Answers

Answer:

9.5 I think

STEPS-

9+4+11+14=38

38/4=9.5

Simplify lol (5) 9+ lo (5) 21-lo (5) 7​

Answers

Given:

Consider the given expression is

[tex]\log_59+\log_521-\log_57[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\log_59+\log_521-\log_57[/tex]

It can be written as

[tex]=\log_5(9\times 21)-\log_57[/tex]       [tex][\because \log_ax+\log_ay=log_a(xy)][/tex]

[tex]=\log_5\dfrac{9\times 21}{7}[/tex]       [tex][\because \log_ax-\log_ay=log_a\dfrac{x}{y}][/tex]

[tex]=\log_5(9\times 3)[/tex]

[tex]=\log_527[/tex]

Therefore, the simplified form of the given expression is [tex]\log_527[/tex].

What is the ratio of 18 inches to 1 yard? (Change 1 yard to 36 inches before writing the ratio)

Answers

Answer:

1:2

Step-by-step explanation:

18 inches to 1 yard

We need to convert 1 yard to 36 inches

18 inches : 36 inches

Divide each side by 18

18/18 : 36/18

1:2

Can you help me here is the inage

Answers

Answer:

150x=y

Step-by-step explanation:

2x150=300

4x150=600

6x150=900

8x150=1200

Question 27
27. If an increase in one quantity brings about a corresponding decrease in the
other and vice versa, then the two quantities vary
a) sometimes directly and sometimes inversely b) directly
c) inversely d) none of these
ОА
Ов
Ос
OD​

Answers

Answer:

c) inversely

Step-by-step explanation:

In Mathematics an inverse relationship can be defined as a relationship between two variables, in which an increase in the value of one variable leads to a decrease in the value of the other variable i.e as the value of one variable becomes large, the value of the other variable becomes small.

Mathematically, an inverse relationship is given by the formula;

A = K/B

Where;

A and B are the variables.

K is the constant of proportionality.

Hence, if an increase in one quantity brings about a corresponding decrease in the other and vice versa, then the two quantities vary inversely.

A box of corn flakes has a square base with sides that measure 7 centimeters in length and the height of the box is 20 centimeters. If V represents the volume of the box, what is the maximum volume of corn flakes this box can hold?
A. 900
B. 925
C. 950
D. 980

Answers

Answer:B

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

X^(2)+8=5 exponent of variable in this equation is​

Answers

Answer:

The exponent of the variable of this equation is 2.

And here's the solution to the equation:

[tex]x^{2} +8=5[/tex]

[tex]x^{2} = 5 - 8[/tex]

[tex]x^{2} = -3[/tex]

[tex]x[/tex] ∉ R


Form a paragraph proof for the following. Make sure you include all the
explanations.
HELP ASAP PLS

Answers

Answer:

Line BD is Congruent to Line BD due to the Reflexive property. Angle Bad is congruent to angle BCD because of the third angle theorem therefore triangle ABD is congruent to triangle CBD because all angles and sides are congruent

I don't know if that will satisfy your teacher because some prefer different things but that leaves no ground to be inferred and explains everything word for word.

A consulting firm has bid on two projects, A and B. The probability of landing A is 0.70. The probability of landing B is 0.60. The probability of landing both is 0.50.
What is the probability of landing A given it lands B?

Answers

Given:

The probability of landing A is 0.70.

The probability of landing B is 0.60.

The probability of landing both is 0.50.

To find:

The probability of landing A given it lands B.

Solution:

We have,

[tex]P(A) = 0.70[/tex]

[tex]P(B) = 0.60[/tex]

[tex]P(A\cap B) = 0.50[/tex]

The probability of landing A given it lands B is

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{0.50}{0.60}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{5}{6}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=0.8333...[/tex]

[tex]P\left(\dfrac{A}{B}\right)\approx 0.83[/tex]

Therefore, the probability of landing A given it lands B is about 0.83.

If i put a 100$ into the stock market and the stock market increase by 2% per year. how much money would i have after a year

Answers

Answer:

$102

Step-by-step explanation:

2% of $100 = 0.02 * $100 = $2

The increase is $2.

$100 + $2 = $102

Answer: $102

Answer:

100 x 0,2 x 1 year(12/12 months)

=$102 after a year

Please help me to find out this question .This question is from chapter simple Interest
PRINCIPLE=₹2630
RATE=8%
TIME=2 1/Fund the S.I and amount ​

Answers

Answer:

The simple interest is of 526.

The total amount is 3156.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

In this question, we have that:

[tex]P = 2630, I = 0.08, t = 2.5[/tex]

The simple interest is:

[tex]E = P*I*t = 2630*0.08*2.5 = 526[/tex]

The simple interest is of 526.

The total amount is:

[tex]T = E + P = 2630 + 526 = 3156[/tex]

The total amount is 3156.

Can someone help me? I'll reward points + brainalist

Answers

For number two, answer is: r=2
A= π•r^2
C=2 πr
2r=r^2
If r=2 then,
2•2=2^2
4=4
Answer for number three is: A=5981m^2
Explanation for number 3 in photo below.
Good luck.

need help badly geometry question :(

Answers

Answer:

D. 13.02

Step-by-step explanation:

Apply trigonometric function to find the height (h) of the wall.

Reference angle = 40°

Hypotenuse = 17 ft

Adjacent = h (height of the wall)

Apply CAH:

Cos 40 = Adj/Hyp

Cos 40 = h/17

17*Cos 40 = h

13.0227555 = h

h ≈ 13.02 ft

Nicki needs to purchase AT LEAST 65 party decorations. The Party Palace charges
$0.50 per decorative streamer and $0.25 per balloon, including tax. Which
combination of streamers and balloons can Nicki purchase with $20.00 at the Party
Palace?

Answers

Answer:

B

Step-by-step explanation:

B is the most likely answer due to

13x.5=6.5

and

53x.25=13.25

13.25+6.5=19.75$

Now stop making a high schooler do your work xD

Jill wants to solve the following system using the elimination method:
Y = X + 8
y = 3x - 11
What number should the equation = x + 8 be multiplied by to eliminate x?
3

Answers

Answer:

3

Step-by-step explanation:

y= x + 8..... (1)

y= 3x - 11..... (2)

y - x = 8..... (3)

y - 3x = -11..... (4)

eliminating x:

(3) × 3: 3y - 3x = 24 ........ (5)

(4) × 1: y - 3x = -11 ......... (6)

(5) - (6): 2y = 35

Divide both sides by 2, therefore, y = 17.5

substitute the value of y into (3)

y - x = 8

17.5 - x = 8

17.5 - 8 = x

9.5 = x

I hope it'll help

PLS HELP!!! What is the total surface area of the square pyramid whose net is shown below?

400 in^3

1200 in^3

800 in^3

1600 in^3

Answers

Answer:

(20×20)+(2×20×30)

400+1200

1600inches^2

Answer:

1600 in^2

Step-by-step explanation:

We only have to add the areas of one square in the centre and 4 surrounding triangles.

area of the square=20×20=400 in^2

area of one triangle=1/2×20×30=300 in^2

area of four triangles=4×300=1200 in^2

So, total surface area of the square pyramid=400+1200=1600 in^2

*The units given should be in^2.

Question 4 of 10
In each family of functions, the
the family
function is the most basic function in
O A simple
O 8. parent
O c. quadratic
O D linear

Answers

Answer:

In each family functions, the parent function is the most basic function in the family.

In each family of functions, the parent function is the most basic function

How to complete the blank?

A linear function is represented as:

y = mx + b

A quadratic function is represented as:

y = ax^2 + bx + c

The above and others of similar formats are the most basic of their families, and they are referred to as the parent function

Read more about parent function at:

https://brainly.com/question/17079244

#SPJ6

Jamie has 3 dogs, 4 cats, 2 lizards and 2 sisters. He wants to find the
percent of his pets that are lizards. Classify each statement as true or
false based on the information. *
True
False
The number of sisters is not
needed to find the percent of
pets that are lizards.
O
To find the percent of pets
that are lizards, 2 is the part
and 11 is the whole
ооо.
To find the percent of pets
that are lizards, 2 is the part
and 9 is the whole

Answers

1. True
2. False
3. True

The sum of two numbers is 3472.
one of the numbers is 1968.
find the other number​

Answers

Answer:

1504

Step-by-step explanation:

3472-1968=1504

CHECK

1968+1504=3472

HELP MEEE 5(−4) = 15-4x

Answers

Answer:

8.75

Step-by-step explanation:

GEOMETRY

PLEASE HELP

PICTURE INCLUDED

Answers

Answer:

x = 25°

Step-by-step explanation:

3x + 30 + 2x + 3x + 30 + 4x = 360° (a full circle contains 360°)

12x + 60° = 360°

12x = 300°

x = 25°

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