The sum of a rational number and an irrational number produces an irrational number.

Answers

Answer 1

Answer:

True

Step-by-step explanation:

Example: sqrt(5) (which decimals continue forever) will mean that if you did 5+sqrt(5) it would still have those decimals.

Answer 2

Answer:

True. By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats. If you add a non-repeating, non-terminating decimal to a terminating decimal, you still have a non-repeating, non-terminating decimal. If you add a non-repeating, non-terminating decimal to a repeating decimal, you will no longer have a repeating decimal, so the result is irrational.


Related Questions

Ramesh is a cashier in a canara bank. He has notes of denomination of Rs 100,50,10 respectively. The ratio of number of these notes is2:3:5respectively. The total cash with ramesh is 400000.How many notes of each denomination does he have

Answers

Answer: Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.

Step-by-step explanation:

From the question, the ratio of number of 100, 50 and 10Rs notes is 2:3:5respectively and the total cash with ramesh is 400000.

Total ratio = 2+3+5 = 10

100Rs = 2/10 × 400000

= 80,000

50Rs = 3/10 × 400000

= 120,000

10Rs = 5/10 × 400000

= 200,000

Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.

A ladder is leaning against a wall. The length of the ladder is 15 meters and
the base of the ladder is placed 9 meters away from the wall. How far up
the wall will this ladder reach?

A.) 6 m
B.) 10 m
C.) 12 m
D.) 18 m​

Answers

Answer:

the ladder is “c2” 15 X 15 =225

9 feet out is still squared to 81.

So c2 (225) - b2 (81) is 144 (a2)

Sqrt of 144 is 12. The ladder will be 12′ up the wall.

Answer: 12m

Step-by-step explanation:

P.S I'm emo

Please answer correctly !!!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!

Answers

Answer:

smaller x = -5

larger x = 5

Step-by-step explanation:

-x^2 - 8 = -33

Add 8 to each side

-x^2 - 8+8 = -33+8

-x^2 = -25

divide each side by -1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

x = -5, x = 5

Answer:

[tex]lesser \: \: \: x =( - 5 )\\ greater \: \: \: x =( 5)[/tex]

Step-by-step explanation:

[tex] - {x}^{2} - 8 = - 33 \\ - {x}^{2} = - 33 + 8 \\ - {x}^{2} = - 25 \\ {x}^{2} = 25 \\ x = \sqrt{25} \\ x = + 5 \\ x = - 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Which value of x makes this inequality true?
X + 9 < 4x

Answers

We want to get out x's together on the right side of the inequality.

So, subtract x from both sides to get 9 < 3x.

Now divide both sides by 3 and we get 3 < x.

I personally like to have my variables on the left so we can move the 3 to the left and the x to the right but if we do that, we have to switch the inequality sign.

So we can rewrite this as x > 3.

I need the answer for this and how you got it please!!!

Answers

Answer:

Correct answer is B.

Step-by-step explanation:

They are equal.

Ricky has found that for every belt buckle he sells, he makes 7 + bx 4 dollars in profit, where b is the number of belt
buckles sold. How much profit will Ricky make by selling 52 belt buckles?

Answers

Answer:

215$ in profit

Step-by-step explanation:

So first, plug 52 into the equation. That makes it 7+52*4. In PEMDAS, multiplication goes first. So multiply 52*4. That makes it 208. So now plug 208 into the equation. That is 7+208. Finally, you finish the equation. 7+208 is 215, so Ricky make 215$ in profit.

if a=3 then what does 5(a+5) equal show all steps

Answers

Answer:

40

Step-by-step explanation:

5(a+5)

Let a =3

5(3+5)

Parentheses first

5(8)

Multiply

40

Answer:

40

Step-by-step explanation:

5(a+5)

5(3+5)

5(8)

40

What is the solution of the equation (x – 5)^2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

A) x=-3+3i√3/2 B) x=7+3i√3/2 C) x=2 D) x=8

Answers

Answer:

[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]

Step-by-step explanation:

(x – 5)^2 + 3(x – 5) + 9 = 0

This is a quadratic equation in x - 5.

Let u = x - 5, then the quadratic equation becomes:

u^2 + 3u + 9 = 0

We can use the quadratic formula to solve for u.

[tex] u = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(9)}}{2(1)} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{9 - 36}}{2} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{-27}}{2} [/tex]

[tex] u = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]

Since u = x - 5, now we substitute x - 5 for u and solve for x.

[tex] x - 5 = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]

[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + 5 [/tex]

[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + \dfrac{10}{2} [/tex]

[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]

Answer:

x = 7+/-3i sqrt3 over 2

Step-by-step explanation:

Choose the possible descriptions of cross sections formed by the intersection of a plane and a cylinder.

Answers

Answer:

Ellipses (special case is called a circle), hyperbolas, parabolas.

Step-by-step explanation:

These are all conic sections.

A conic section is defined by the cross section of a plane and a double-napped cone. There are other special cases called degenerate conics, which are lines and points (occurs when the equation does not follow the usual pattern, however, these are not considered main conics). The main types of conics are: ellipses, hyperbolas, and parabolas.

The illustration below gives more insight into the question.

I hope this helps.

The amount of time a certain brand of light bulb lasts is normally distribued with a mean of 900 hours and a standard deviation of 55 hours. Out of 720 freshly installed light bulbs in a new large building, how many would be expected to last between 800 hours and 1030 hours, to the nearest whole number?

Answers

Answer: 689

Step-by-step explanation:

Solve: |2x - 1| < 11

Answers

Answer:x<6

Step-by-step explanation:

2x<11+1

2x<12

X<6

Multiply the following complex numbers:
(5+3i)(4+ 2i)
A. 14-22i
O B. 14+ 22i
O C. 26 - 22i
O D. 26 + 22i

Answers

Answer:

B, or 14 + 22i.

Step-by-step explanation:

When multiplying complex numbers, use the FOIL method.

Therefore:

(5 + 3i)(4 + 2i)

FOIL the equation:

5×4 + 5 × 2i + 3i × 4 + 3i × 2i

Simplify. Remember that i² = -1.

20 + 10i + 12i -6

Combine like terms:

14 + 22i

Therefore, the solution is B, or 14 + 22i.

Write the equation for the linear function that goes through –3 on the y-axis and has a slope of 0.5.

y= ????

Answers

Answer: y = [tex]\frac{1}{2} x[/tex] - 3

Step-by-step explanation:

The equation for a line is in the form y = mx + b, where "m" is the slope and "b" is the y-intercept.Since the slope is 0.5 (which is [tex]\frac{1}{2}[/tex]), we can plug that value in for "m": y = [tex]\frac{1}{2} x[/tex] + bSince the line goes through -3 on the y-axis, that is the y-intercept. So, we can just plug in that value for "b": y = [tex]\frac{1}{2} x[/tex] - 3And there's your answer: y = [tex]\frac{1}{2} x[/tex]-3

Work out
3/4 times 1/2

Answers

Answer:

[tex]\frac{3}{4} * \frac{1}{2} = \frac{3}{8}[/tex] alternatively, the answer is 0.375

f(x)=(x-3)^2+5 plot the vertex and the axis of symmetry of this function.

Answers

Answer:

The vertex is located at (3,5)

The axis of symmetry is x = 3

The plot is in the image attached

Step-by-step explanation:

First we need to find the vertex of the quadratic function. We can find the x-coordinate of the vertex using the formula:

x_v = -b / 2a

Where 'a' and 'b' are coefficients of the quadratic equation in the model:

ax^2 + bx + c = 0

Then we need to expand the terms of f(x):

f(x) = (x-3)^2 + 5

f(x) = x^2 - 6x + 9 + 5

f(x) = x^2 - 6x + 14

So we have a = 1 and b = -6

Then the x-coordinate of the vertex is:

x_v = 6 / 2 = 3

We can use this value in f(x) to find the y-coordinate of the vertex:

f(x_v) = 3^2 - 6*3 + 14 = 5

So the vertex is located at (3,5)

The axis of symmetry is the vertical line traced in the vertex, so it is x = 3

The plot is in the image attached. The circle at (3,5) is the vertex, and the blue line is the axis of symmetry.

Need help with equations with variables on both sides, giving 100 points, tysm if you help :) 6 (2x-4) = 8(x +2) A. 3 B. 10 C. 2 D. -2 3 (4p - 2) = -6 (1 - 2p) A. no solution B. all real numbers C. 0 D. -6 5 ( x- 2) = 3 (x + 6) -8 A. 10 B. 1 C. -1 D. 0 6 (2x-3) = - (x - 9) + 4x A. -6 B. -3 C. 9 D. 3

Answers

Answer:

B. 10

C. All real numbers.

Step-by-step explanation:

6 (2x-4) = 8(x + 2)

Distribute the numbers outside of the factors:

12x - 24 = 8x + 16

Subtract both sides by '8x'

12x - 8x - 24 = 8x - 8x + 16

4x - 24 = 16

Add '24' to both sides:

4x = 40

Divide both sides by 4:

x = 10. Therefore, B. 10 is the correct answer.

3(4p - 2) = -6(1 - 2p)

Distribute the numbers similarly to the example before:

12p - 6 = -6 + 12p

Subtract '12p' from both sides:

12p - 12p -6 = -6 + 12p - 12p

0 -6 = -6

Add '6' to both sides:

0 - 6 + 6 = -6 + 6

0 = 0

Therefore, the solution consists of all real numbers.

Charlotte’s essay on pigs was 824 words in length. Wilbur’s essay was only 360 words long. What is the ratio of Charlotte’s essay to Wilbur’s?

Answers

Answer:

824/360 or 824:360

Step-by-step explanation:

quick mafs

Answer:824/360,p or 824:360 or 824 to 360

Which point on the graph represents the y-intercept?

Answers

Point W represents the y-intercept

Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

32 polo, 28 measles

Step-by-step explanation:

4p + 2m = 184  <-- doses

p + m = 60        <-- vaccines

solve:

4p + 2m = 184

-2p - 2m = -120     <-- multiplied both sides by -2

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

2p = 64

p = 32

plug back in:

32 + m = 60

p = 32

m = 28

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!

Answers

Step-by-step explanation:

see the attachement

hope it helps you....

Ana tiene 14 años menos que Beto y ambas edades suman 56 años

Answers

42 because 56 mines 14 equals 42

Solve for x. 5x - 1 = 26 x = x = 5 x = -5

Answers

Answer:

x = 27/5

Step-by-step explanation:

5x - 1 = 26

Add 1 to each side

5x - 1 = 26

5x-1+1 = 26+1

5x = 27

Divide each side by 5

5x/5 = 27/5

x = 27/5

Solve: 2x – 3 = 5(x + 6)

Answers

Answer:

-11 =x

Step-by-step explanation:

2x – 3 = 5(x + 6)

Distribute

2x -3 = 5x + 30

Subtract 2x from each side

2x -3 -2x = 5x -2x +30

-3 =3x +30

Subtract 30 from each side

-3-30 =3x+30-30

-33 = 3x

Divide by 3

-33/3 = 3x/3

-11 =x

Answer:

x=(-11)

Step-by-step explanation:

2x - 3=5(x+6)

2x - 3 = 5x + 30

    +3          +3

2x = 5x + 33

-5x   -5x

-3x = 33

(divide both sides by -3)

x=(-11)

The ratio of boys to girls in a class is 4:5
A. What fraction of the class are boys?
B. What fraction of the class are girls?

Answers

Answer:

Boys = 4/9

Girls = 5/9

Step-by-step explanation:

You add the ratio parts to find what the fraction is over.

5 + 4 = 9

Then you just need to know which part is boys and which is girls.

Boys to Girls = 4:5

Therefore Boys = 4/9 and Girls = 5/9.

Fraction of the class are boys = 4/9

Fraction of the class are girls = 5/9

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given:

ratio of boys to girls = 4:5

Now, total of the ratio is = 4+5 = 9

So, fraction of the class are boys = 4/9

and, fraction of the class are girls= 5/9

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ2

WILL MARK BRAINIEST!!! 25 POINTS!!! PLZ HELP ME! Determine the equivalent system for the given system of equations.

Answers

Answer:

4x-5y=2, 24x-47y=22

Step-by-step explanation:

I mean I would write out all the steps for the answers if I wasn't feeling lazy.

4x-5y=2

10x-21y=10

[tex]x=-\frac{4}{17},y=-\frac{10}{17}[/tex]

Here you can have the answers:

4x-5y=2

3x-y=4

[tex]x=\frac{18}{11} , y=\frac{10}{11}[/tex]

4x-5y=2

24x-47y=22

[tex]x=-\frac{4}{17},y=-\frac{10}{17}[/tex]

4x-5y=2

10x+3y=15

[tex]x=\frac{81}{62},y=\frac{20}{31}[/tex]

4x-5y=2

14x+26y=12

[tex]x=\frac{56}{87},y=\frac{10}{87}[/tex]

It seems that 4x-5y=2, 24x-47y=22 is the correct answer.

How many imaginary roots can an equation have?

Answers

Answer:

Step-by-step explanation:

if it is an even degree polynomial then it can have imaginary roots =degree of polynomial.

if it is an odd degree polynomial (say 2n+1 degree) then it can have at the most 2n imaginary roots.

Help please........................

Answers

Answer:

70,000$

Step-by-step explanation:

Thanks so much for a word document

Answer:

What do you need,and what's the question

1. How many ways are there to get a sum of 10 when two dices are thrown?
2.How many ways are there to get a sum of 11 when two dices are thrown?
3. How many ways are there to get a sum of 12 when two dices are thrown?


Please Answer Quickly And Kindly Explain Properly, Thanks!

Answers

Answer:

1.3 2.2 3.1

Step-by-step explanation:

1. 6:4 4:6 5:5

2. 5:6 6:5

3. 12 6:6

those are the ways you can get these numbers cause every two different numbers can show up on the opposite dice

Jack and Jill go up a hill, the
distance they travel is 75m and
it takes them 2 minutes and 30
seconds, what was their average
speed in m/s?

Answers

Answer:

0.5m/s

Step-by-step explanation:

75m/150s(2min 30 sec)

?m/s

So,

75m÷150/150s÷150

0.5m/s

plzz mark brianliest if its correct

Which expressions are equivalent to
z + (z + 6)?
Choose all answers that apply:
А
(z + 2) + (z + 6)
B
(z + 6) + 6
C
202
z + 3)​

Answers

The answers are C, and/or A.

I'm not entirely sure, I apologize..

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