Unit 1 : Algebra basics Homework 1: the real numbers

Answers

Answer 1

Real numbers may be explained as all set of numbers which may be used for counting, fractions or decimals. Real numbers may be any set of natural, whole, integer, rational or irrational numbers.

NATURAL NUMBERS which are all set of positive whole numbers from 1. Examples : (1, 3, 5, 8, 100)

WHOLE NUMBER are set of all natural numbers .while numbers also include the value value (0, 1, 200, 500) are whole numbers

INTEGERS : include all positive and negative natural or whole number values. They include (-1, - 10, 10, 5)

RATIONAL numbers are real numbers which can be expressed in the form m/n where both m and n are integer values and the denominator, n ≠ 0 Examples : (1/2, 0.9, 10/1, √4, 3.5)

IRRATIONAL numbers are real numbers which are not integer values and cannot be expressed in the form m/n Non-terminating and non-repeating decimal numbers are IRRATIONAL numbers. (√3, 1.43136..., 1.4141..., π)

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Related Questions

ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!

Answers

Answer:

D because it costs less for 7 hours

Answer:

The company that would give you the best deal would be Company D.

Step-by-step explanation:

Company A:

First you set up as an equation.

y=25x+50

I used 25x because 25 represents the hourly rate and x represents the hour it increases.

y=25(7)+50

We have to substitute 7 in for x because it says "If you had planned for 7 hours".

Multiply 25 and 7. You should get 175.

y=175+50

Add 175 and 50. You should get 225.

y=225.

You do the same thing for the rest of the problems.

Company B:

y=30x+40

y=30(7)+40

y=210+40

y=250

Company C:

y=20x+60

y=20(7)+60

y=140+60

y=200

Company D:

y=5x+150

y=5(7)+150

y=35+150

y=180

The company that would give you the best deal would be Company D.

3. For the sequence defined by tn= 3n + 8,
find each indicated term.
a) t1
b) t7
c) t14

Answers

Step-by-step explanation:

Hi there!

According to the question;

nth term (tn) = 3n+8

a).

T1 = 3*1+8

= 11

b).

t7 = 3*7+8

= 29

c).

t14 = 3*14+8

= 50

Therefore, t1 = 11, t7 = 29, t14 = 50.

Hope it helps!

Answer:

11, 29, 50

Step-by-step explanation:

To find the appropriate term , substitute the term number into the rule, that is

(a) t₁ = 3(1) + 8 = 3 + 8 = 11

(b) t₇ = 3(7) + 8 = 21 + 8 = 29

(c) t₁₄ = 3(14) + 8 = 42 + 8 = 50

Can someone help me write the equation of this graph?

Answers

Answer:

Step-by-step explanation:

The asymtope's equation is y = 3

Just use dy/dx to find the gradient of the curve at this point and sub in y = 3 :)

Please mark as brainliest (I really need it) :)


Group of answer choices

2

3/2

6

3

Answers

it's most likely c but i could be wrong

PLEASE HELP!!
Anybody can solve this question
I dont understand its Statistics

Explain if you can (optional)​

Answers

Answer:

Step-by-step explanation:

Simplify:

6 - 2 =
14 14

Answers

Answer:

6-2=1414

Step-by-step explanation:

6-2=1414

now

sub 6 from 2

4=1414

now divide 1414 by 4

1414÷4

[tex]1414 \div 4[/tex]

you will get the answer

Step-by-step explanation:

[tex] \frac{6}{14} - \frac{2}{14} \\ have \: same \: denomenator \: so \: we \\ \: can \: substract \: it \: directly \\ \frac{6 - 2}{14} \\ = \frac{4}{14} = \frac{2}{7} \\ thank \: you[/tex]

one ball is to be chosen from a box containing red, blue, and green balls. If the probabilitythat
the chosen ball is red 1/5 and the probability that it is blue is 1/3, what is the probability that it
is green?

Answers

Answer:

1/4 I think is that answer

I need an in-depth answer

Answers

Answer:

The three numbers are 29, 31, and 33.

Step-by-step explanation:

Let's imagine that the three consecutive odd integers are 2x−1, 2x+1, and 2x+3. And we are told the sum is 93 right? So, let's equal the three numbers to 93.

2x − 1 + 2x + 1 + 2x + 3 = 93

6x + 3 = 93

     -3     -3

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

6x = 90

/6    /6

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

x = 15

Now, plug in x into 2x−1, 2x+1, and 2x+3 to find the three numbers.

2x − 1                   2x + 1                 2x + 3

2(15) - 1                2(15) + 1             2(15) + 3

30 - 1                    30 + 1                 30 + 3

= 29                      = 31                      = 33

Answer:

30, 31, 32

Step-by-step explanation:

I hope this helps

28. Ashton is hosting a banquet. He plans to spend $400, plus/minus $50, at a
cost of $25 per guest,
a. Find the maximum and minimum number of guests.
b. If there can be up to 7 guests per table, what is the minimum number of
tables Ashton should reserve so everyone has a seat?

Answers

Answer:

If he can spend $400 +- $50 ($350 or $450) the maximum number of guests at $25 each is 18 and the minimum is 14. If there can be up to 7 guests, he should prepare to have at least 3 tables to ensure everyone gets a seat if he goes with the $450 option.

Step-by-step explanation:

Please mark Brainliest if this helped :)

Division is one of the four fundamental arithmetic operations. The minimum number of tables Ashton should reserve so everyone has a seat is 2.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Ashton's budget is $400±50. Therefore, the maximum and the minimum budget that Ashton can spend on the banquet are,

Maximum budget = $400 + $50 = $450

Minimum budget = $400 - $50 = $350

A.) Now, the maximum guest will cost the maximum budget, therefore, we can write

Maximum guest = Maximum budget / Budget per guest

                           = $450 / $25

                           = 18

Minimum guest = Minimum budget / Budget per guest

                           = $350 / $25

                           = 14

B.) Since the minimum number of guests that can come to the banquet is 14, and only 7 people can seat at a table, therefore, the minimum number of tables Ashton should reserve so everyone has a seat is 2.

Learn more about Division here:

https://brainly.com/question/369266

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A number cannot be divisible by both 4 and 5 at the same time.
True or False?

Answers

Answer:

true.........

20÷5=4..

20÷4=5

Answer:

Step-by-step explanation:

Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
8
3
6
1
Choose 1 answer:
اے
Subtract 5 from the input to get the output.
в)
Multiply the input by 0. Then add 5 to the result to get the output.
Divide the input by 2. Then subtract 1 from the result to get the output.

Answers

Answer:

Subtract 5 from input.

Step-by-step explanation:

10-5=5

8-5=3

6-5=1

Note:if you need to ask question let me know about it.

Five runners are entered into a competition. Four of the runners have had their turns. Their
completing times are 7.4 s, 7.75 s, 7.09 s, and 7.86 s. What time must the last runner get in order to win
the competition?

Answers

Answer:

Just writing anything above these numbers

Step-by-step explanation:

Answer:

let t be winning time     t < 7.09 seconds

Step-by-step explanation:

let's first order the times from least to greatest:

7.09, 7.40, 7.75, and 7.86

Now, in order to have the winning time, the last runner must have a time less than the fastest runner so far. So, the winning time is less than 7.09 seconds.

Make sure to add units. I know that my teachers are REALLY picky about that, though yours may not care.

Find the perimeter of a triangle DEF with vertices D (3,2), E (4,2), F (3,-2)

Round the answer to the nearest hundredth please ASAP!!!

Answers

Answer:

8.4

Perimeter=a+b+c

3.2+4.2+3.-2

= 8.4

The perimeter of the triangle will be 5 + √17.

What is the perimeter of the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees. The sum of all the sides of the triangle will be known as the perimeter of the triangle.

A triangle DEF with vertices D (3,2), E (4,2), and F (3,-2).

Distance between DE will be

DE² = (4 - 3)² + (2 - 2)²

DE² = 1

DE = 1

Distance between EF will be

EF² = (3 - 4)² + (-2 - 2)²

EF² = 1 + 16

EF = √17

Distance between DF will be

DF² = (3 - 3)² + (-2 - 2)²

DF² = 16

DF = 4

Then the perimeter of the triangle will be

P = DE + EF + DF

P = 1 + √17 + 4

P = 5 + √17

The perimeter of the triangle will be 5 + √17.

More about the perimeter of the triangle link is given below.

https://brainly.com/question/25813512

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Answer this please ASAP

Answers

ans:- 144 inches squared

ur welcome..

Answer:

144

Step-by-step explanation:

12*12=144

squares have all the same sized sides.

A= 4, B= 9, and C= 3. so Ac= what

Answers

Answer:

AC = 12

Step-by-step explanation:

AC = 3(4)

AC = 12

Answer:12

Step-by-step explanation:Ac  when ever there are 2 varibales together you multiply them.

Bananas cost $3 a bunch and apples cost $0.50 each. If b represents the number of bunches of bananas and a represents the number of apples, which of the following expressions represents the total cost?
-
3b + 0.5a
3.50(b + a)
3.50ab
3.50b + a

Answers

3b + 0.5a

the variables b and a are unknown values that represent the number of bananas and apples to be bought. These are next to each of its prices for it to be multiplied once we know the variable.

The costs of the fruits are to be added and you will end up with the total cost of fruits.

i need help with atleast 2 of these questions pls

Answers

9.

J (0 , -10)

gradient/slope(m) = 2.

We're asked to find K if K is the X- Intercept.

At the x intercept... the corresponding y value is zero. This concept should be pretty clear.

Reason is...

At the Point where the line touches the x axis...If you trace the y value... It will be at point zero(0).

With this Knowledge

We're able to interprete that the points of K is

(x" , 0)

Where x" represents the x coordinate of K

So

J ( 0, - 10)

K ( x" , 0)

m= 2.

Applying the Gradient/Slope Formula

m = y₂ - y₁/x₂ - x₁

x₁ = 0 y₁ = -10

x₂ = x" y₂ = 0

Substituting

2 = 0 - ( -10)/ (x" - 0)

2 = 10/x"

x" = 10/2

x" = 5.

Coordinates of Point K is ( 5 , 0).

THIS IS YOUR ANSWER!.

10.

Total Time Taken = 16secs

10a). We're asked to calculate the rate of speed change for the first 5secs.

This is another way of saying "Calculate Acceleration" in the first 5sec of Motion.

Why?

Acceleration is the rate of change of speed or the rate at which speed changes.

acceleration = v - u/t

where v = Final Speed

u = initial Speed.

Looking at the graph

You see that

Initial speed(u) = 1m/s

Final Speed(v) = 9m/s

t = 5secs

Acceleration = 9 - 1/ 5

a = 8/5

a = 1.6m/s².

10b)

We're asked to calc "t" from the graph.

Given that the acceleration at "t" untill 16sec(end of motion) is 2m/s².

This simply means that Constant Acceleration was held from "t" to the end of the Motion.

Do not confuse Constant Acceleration for Constant Velocity.

At Constant Velocity... Acceleration is zero(0)

At Constant Acceleration...Velocity Changes Uniformly or at the same rate each second and this is what we're dealing with in this question.

Taking the same step as we used in calculating acceleration above

Given a= 2m/

a = v - u/t

Where t means time change or difference.

From "t" to 16

The change in time is 16 - "t"

2 = 21 - 9/( 16 - t)

2 = 12/16-t

16-t = 12/2

16 - t = 6

t = 16 - 6

t = 10secs.

Have a great Day!.

hey please help i’ll give brain

Answers

Answer:

[tex]8 + x = 2 + 8 \\ 8 + x = 10 \\ x = 10- 8 \\ \\ x = 2 \\ then8 + 2 = 2 + 8 \\ thank \: you[/tex]

Answer:

2

Step-by-step explanation:

8 + 2 = 10, so basically, 10 - 8 = 2. Meaning the missing number to when 8 is added to something to equal 10, would be 2.

Question : -4+12+(-7)

Answers

Answer:

1

Step-by-step explanation:

it just is

Solve 3x − x + 2 = 12.

Answers

Answer:

is 5

Step-by-step explanation:

Move all terms to the left side.

3x−x+2−12=0

Reduce like terms.

2x−10=0

Factor.

2(x−5)=0

Determine the roots from the equation. In this case, x=5 is the only solution to the equation.

Answer:

x = 5

Step-by-step explanation:

hope it is help full

mark me a brainlist

terri's pedometer indicated that she walked 99,610 steps in one week. based on her stride which is approximately 2 feet per step, how many miles did she walk in one day?

a. 18.9 miles
b. 5.4 miles
c. 66.0 miles
d. 9.4 miles

Answers

Answer:

a.18.9 miles is the answer

Identify the problem with the following study. A local newspaper published the results of a study that claimed "482 people use the public library". The study was produced by using a random sample of 87 people from the town​

Answers

Answer:

well, only 87 people were asked. How did they get 482?

also, they should have asked the people in the library.

To mix a particular shade of purple paint, read paint and blue paint are mixed in the ratio 5:3. To make 80 gallons of this shade of purple paint, how many gallons of red and blue paint should be used?

Answers

Answer:

50 gallons of red

30 gallons of blue

Step-by-step explanation:

5 parts of the whole must be red, 3 parts of the whole must be blue, and there are 5+3=8 parts in total.

therefore, 1 part = 80/8 = 10 gallons

red : 5 parts

5×10 = 50 gallons

blue : 3 parts

3×10 = 30 gallons

Which is best estimate of 90/7 ÷ 1 3/4?

2

6

12

24

Answers

Answer:

6

Step-by-step explanation:

90/7 divided by 1 3/4 is 7.34 so the closest one to it is 6

Convert 25 30 20" into seconds.​

Answers

Step-by-step explanation:

ANS is 3.47

ok friend

please like and comments

ok

Can someone help me

Answers

Answer:

first statement

Step-by-step explanation:

64 < 77 < 81 , then

[tex]\sqrt{64}[/tex] < [tex]\sqrt{77}[/tex] < [tex]\sqrt{81}[/tex] , that is

8 < [tex]\sqrt{77}[/tex] < 9

Thus [tex]\sqrt{77[/tex] is to the left of 9 on the number line

Answer:

OPTION A IS CORRECT.

BRAINLIST PLEASE!!!

Solve using elimination
-3x+9y=12
2x-8y=-16

Answers

Answer:

x=8 y=4

Step-by-step explanation:

eliminate x: make x of two equation equal to each other

2(-3x+9y=12) : -6x+18y=24 ___[1]

-3(2x-8y=-16) : -6x+24y=48 ___[2]

[2]-[1]= 6y=24

           y=4

substitute y to any equation;

2x-8y=-16

2x-8(4)= -16

2x= -16+32

2x= 16

x=8

Answer:

x=14 and y=6

Step-by-step explanation:

-3x+9y=12.............(i)×2

2x-8y=-16..............(ii)×3

Multiplying equation (i) by 2 and equation (ii) by 3 and adding (i) and (ii)

-6x+18y=12

6x-24y=-48

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

0-6y=-36

or, -6y=-36

So,y=6

From (i)

-3x+9y=12

or,-3x+9×6=12

or,-3x+54=12

or,-3x=12-54

or,-3x=-42

So,x=14

Last question pls help then i will give away al points pls help.

Answers

Answer: i give up typing essays ill just give it to you straight azure clicks per second is 8.5 or 17/2

bronze click per second is 9.5 38/4

crimsons time is 2.28 i guessed the closest and used a calulator good thing i learned this recently

clicks for desert is 34.9 or 35 not too clear but 34.9 is closer but you can choose i got this from guesing the division and i got 35/4.2 and 34.9/4.2

emeralds time is 0.40 3/.40 or 3/0.40

clicks for the last one or fuscia is 6 6/0.70 is well 8 gawd dammit you made me rite anotha essay

through: (1, 1), slope = 6

Write the slope-intercept form of the equation of the line through the given point with the givenslope.

Answers

Answer:

[tex]y=6x-5[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept

We're given that the slope is 6. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=6x+b[/tex]

Now, to solve for the y-intercept, plug in the point (1,1) and solve for b:

[tex]1=6(1)+b\\1=6+b\\b=-5[/tex]

Therefore, the y-intercept of the line is -5. Plug this back into [tex]y=6x+b[/tex]:

[tex]y=6x+(-5)\\y=6x-5[/tex]

I hope this helps!

a+b/c=d/4 solve for a

Answers

Answer:

a = d/4 - b/c

Step-by-step explanation:

Subtract b/c from both sides. We can subtract a fraction

so

a = d/4 - b/c

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