Which of these numbers is irrational? O A. - 5 9 O B. 1.618 C. 43 O D. VO​

Which Of These Numbers Is Irrational? O A. - 5 9 O B. 1.618 C. 43 O D. VO

Answers

Answer 1

Answer:

D) [tex]\sqrt{6}[/tex]

Irrational numbers are numbers that cannot be expressed in the form of p/q where q is not equal to zero.

Here is how to understand if a number irrational or not:

Irrational numbers will have decimal expansions which are non-terminating and non-recurring (no pattern or repetition o certain groups of numbers couldn't be observed and the decimal expansion will not ever end)

EXAMPLE: For non-recurring and non- terminating decimal expansions.

2.258755655554517144516517849616128478462131...................76.2879485165886225568656559781230414746108....................4987.251484561515484513184964989494555121266....................

In the above examples, it can be observed that all the decimal digits had no pattern and they will never end.

In this question, the answer is root 6. but it is not necessary that we have to find the decimal expansion, but we ccanfind it easily just by findinf if the given number is a perfect square or not.

EXAMPLE:

[tex]\sqrt{4}[/tex] is a rational number as 4 is a perfect square.[tex]\sqrt{100}[/tex] is a rational number as 100 is a perfect square.[tex]\sqrt{8}[/tex] is not a rational number as 8 is not a perfect square


Related Questions

A line passes through the point (-6,6) and has a slope of 3/2.

Answers

Answer:

y=3/2x+15

Step-by-step explanation:

Answer:

y=3/2+15

Step-by-step explanation:

dividing a faction by a fraction 3/5 divided 1/3​

Answers

(3/5) / (1/3) = 3*3/5*1 = 9/5 or 1 4/5

Answer:

9/5

Step-by-step explanation:

3/5 ÷ 1/3

3/5 ÷ 3/13/5 × 3/1 = 9/5

9/5

What is the range of the function graphed below?


Answers

Answer:

Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]

Step-by-step explanation:

Range of a Function

Given a real function f(x), the Range of f is the set of all the values the function can take when x varies within the domain of f.

If we have the graph of the function, a practical rule can be used to find the Range. Imagine a horizontal rule moving from minus infinity to plus infinity. If that rule touches the graph of the function, the vertical height or y-value belongs to the range.

Consider the function provided in the image. If our horizontal rule comes from minus infinity, it won't touch the graph until it reaches the value y=-4. Note the endpoint has a filled dot, meaning the point belongs to the function. The range starts from -4.

Going up in values of y, we touch the function until y=0. But that endpoint is marked with an empty dot, so that point does not belong to the function.

The first interval of the range is [-4,0)

Moving up the rule, we touch the function again when y=2 (included) and we note the function continues to go up to plus infinity (signaled with the arrow). Thus, the second interval is [2,+∞).

The range of f is the union of both intervals:

Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]

Answer:

B

Step-by-step explanation:

Ms. Bixby needs to make 11 pairs of butterfly wings for costumes for a play. Each
pair of wings is made with 12 를 yard of fabric. The fabric costs $6 per yard.
Apply properties of multiplication to find the total cost of the fabric.

Answers

Answer:

792

Step-by-step explanation:

Sorry if im wrong :)

help!
Instructions: Write an expression to represent the given scenario.

Your friend Isabella is growing her hair out so that she can cut it and donate it to a charity that makes wigs for childhood cancer victims. On average, hair typically grows 1.5 cm per month. Write an expression that represents the total growth Isabella should expect based on the number of months, m, she lets her hair grow.

Answers

Answer:

y = 1.5m

Step-by-step explanation:

Since we are finding the length after a certain number per month, that means we will be multiplying.

1.5 for EVERY month so it would look like

_ = 1.5m

We can replace the blank with the variable y.

y = 1.5m

Hope that helps and have a great day!

Y would Equal 1.5m because it is 1.5m PER month it’s just quick math :))

please help am confused

Answers

Answer:

9%

Step-by-step explanation:

432 ÷ 6 = 72

8 = 1% of 800

8 x 9 = 72 = 9%

Step-by-step explanation:

I = P×r%×t

432 = 800 × r/100 × 6

432 = 4800 × r/100

[tex]r = \frac{432 \times 100}{4800} [/tex]

r = 9%

A graph of a quadratic function is shown below.

What is the vertex of the parabola shown? (5 points)
A (10, 800)
B (800, 10)
C (30, 0)
D (0, 600)

Answers

Using it's concept, it is found that the vertex of the quadratic function is given by:

B (800, 10).

What is the vertex of a quadratic equation?

It is the point in which the parabola changes from increasing to decreasing, or vice versa, that is, the point in which it turns.

In this problem, it turns at x = 10 and y = 800, hence option A is correct.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

#SPJ1

Answer:

Step-by-step explanation:

Rewrite the expression in the form x^N X^3•x^4

Answers

X^7

what to always remember is when you multiply numbers of the same base add exponents

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!

Answers

Answer:

19.04

Step-by-step explanation:

convert 170% into decimal form number:

1.7

Then multiply by 11.2:

1.7 × 11.2 = 19.04

Pls consider marking my answer as Brainliest! It would mean a lot!

It will make my life if you help me with this forealzez

Answers

Answer:116

Step-by-step explanation:

By definition, a rhombus will have equal opposite angles.

Also by definition, the two angles on the same side of a rhombus are supplementary, or add up to 180 degrees.

Using this, we can make the equation 2c-12+c=180, 3c-12=180, 3c=192, and c =64

Now that we have found out c is 64, we plug it into the angle 2c-12 to get

2*64-12=116.

So again by definition, angle J will be 116 degrees since its an opposite angle.

Solve the quadratic equation below by completing the square. What are the solutions?
x^2 - 16x + 50 = 21
A. X= -8+sqrt 7
B. X= 8 + sqrt 7
C. X= 8 +sqrt 35
D. X= -8+sqrt 35

Answers

By completing squares we will see that the solutions are:

[tex]x =\pm \sqrt{35} + 8[/tex]

How to complete squares?

Here we have the quadratic equation:

[tex]x^2 - 16x + 50 = 21[/tex]

We can rewrite it as:

[tex]x^2 - 2*8*x + 50 - 21 = 0\\\\x^2 - 2*8*x + 29= 0[/tex]

Then we must have a 8² term to complete squares, then we need to add and subtract 35.

[tex]x^2 - 2*8*x + 29 +35 - 35= 0\\\\(x - 8)^2 - 35 = 0\\\\(x - 8)^2 = 35[/tex]

Now we can solve this:

[tex]x =\pm \sqrt{35} + 8[/tex]

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

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the farm covers an area of 13square miles. The farm is divided into 4 equal sections, as shown in this diagram. What is the area, in square miles, of each section?

Answers

Answer:

p[

Step-by-step explanation:

p[

simplify 3x(4x-5)+3 and its value for X = 3​

Answers

Answer:

Step-by-step explanation:

3x ( 4x - 5 ) + 3

12x^2 - 15x + 3

12 × 3^2 - 15 × 3 + 3

12 × 9 - 45 + 3

= 108 - 45 + 3

= 66

Hope this helps

plz mark as brainliest!!!!!!

I’ll give brainliest

Answers

Answer:

B

Step-by-step explanation:

We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.

We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.

Thus, the answer is B.

~ an aesthetics lover

Write the equation of the line that passes through the points (-3, -7) and (-3,-4) put your answer in fully reduced point slope form unless it is a vertical or horizontal line

Answers

Answer:

the equation is x=-3

Step-by-step explanation:

no matter what, the x values are the same, if you have the same values in the same line, it is most likey a vertical line

Type your response in the box. We each have a different level of health, and that level of health depends on many factors, including our lifestyles and habits. Some factors, however, might be outside our control. In your opinion, which is the biggest factor in determining how healthy you are? your level of physical activity your diet your level of stress factors outside your control, such as heredity Font Sizes

Answers

Answer:

Diet

Step-by-step explanation:

Health & fitness level has multiple factors. Some internal choice factors, some externally ascribed factors. Eg(s) - Diet, Excercise & Heredity, pollution respectively.

In my opinion, biggest factor affecting health is : Diet. As, it can affects health positively & negatively, by major extent. It can also help overcoming other health detrimental factors - eg lack of excercise, heredity issues, pollution related issues etc.

PLEASE I NEED HELP FIND THE X USE THE SCREEN SHOT

Answers

The answer is 29 for x

What are the x- and y-intercepts of the graph of 5x + y = 20?
x-intercept: 16
y-intercept: 0
x-intercept: 4
y-intercept: 20
x-intercept: 5
y-intercept: 1
x-intercept: 1
y-intercept: 5

Answers

x-intercept: 4

y-intercept: 20

Answer:

Step-by-step explanation:

x-intercept: 4

y-intercept: 20

how can you write the expression 2 − (p 6) in words? a two minus the sum of p and six b two added to the difference of p and six c the difference of two and p times six d the sum of two and p added to six

Answers

Answer:

C

Step-by-step explanation:

2-(p*6)

minus=the difference of

(p*6)=p times 6

Fully written out: The difference of two and p times six

During this basketball season trey took 250 shots and made 72 shots what was his shooting percent

Answers

Trey sucks at basketball. But just divide 72 by 250 and you’ll get your answer big shooter hope this helped.

Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.

Answers

Answer:

$216

Step by step

Explanation:

First we subtract  $ 20 from  $ 84  giving us a total of  $ 64 and when we add that to  $ 152  we get  $ 216

.

Answer:

-60

Step-by-step explanation:

i need help with the first question asap. please explain how you did the problem and why or why not they are porportional

Answers

Answer:

No, The graph does not represent two proportional quantities, because the line does not passes through the origin point (0, 0)

Step-by-step explanation:

The equation of the proportional quantity is y = k x, where k is the constant of proportionalityThis equation represented graphically by a line passes through the origin point (0, 0) because if we substitute x by 0 in the equation y = kx, y must be equal to zero

To solve the question graphically, we will use the ordered pairs on the table

→  x  →  y  ⇒  ordered pair

→  1  →  3  ⇒  (1, 3)

→  7  →  1  ⇒  (7, 1)

→  4  →  2 ⇒  (4, 2)

Plot the points

→ Look at the attached graph down

x-axis represents the number of hoursy-axis represents the number of people

∵ The line does not cut the y-axis at the origin point (0, 0)

→ That means the equation of the line can not be in the form y = k x

∴ The line does not represent a proportional equation

∴ The number of people and the number of hours are not proportion

can someone help me on this question pretty please

Answers

Answer:

50 dollars an hour

Step-by-step explanation:

It is 50 dollars an hours .

10) Choose the correct answer.
Simple Inequalities:



please help

Answers

Answer: your picture doesnt have all the options for the answer but the first two are incorrect. The correct one would have both little dots filled in with black

Step-by-step explanation:

Answer: 3 ≤ x ≤ 7

Step-by-step explanation:

The number line will have a filled in circle at 3 and a filled in circle at 7.

A filled in circle indicates that the number IS a solution.

An open circle indicates that the number is NOT a solution.

Hope this helps!

Which of the following equations could you solve by first adding six and then dividing by negative three?
6.3 x= -9
+ 6 = -9
-3
-3 - 6 = -9
3 x-6 = -9

Answers

I’d say A

Because 6.3 plus 6 is 12.3 minus negative 3 is 9

Answer:

-3 x - 6 = -9

Step-by-step explanation:

Can someone please give me a free disney plus account

Answers

Answer:

Uh- I cant ;w;

Step-by-step explanation:

Answer:

yes I can if you still want one

Step-by-step explanation:

Write an equation for the line that passes through (2,5) and (6,7)

Answers

Answer:

[tex]y=\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Find the slope of the line first using the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the two given points into this formula.

[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]

Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.

Point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).

[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]

Simplify the equation so it's easier to read.

[tex]y-5=\frac{1}{2} (x-2)[/tex]

Distribute 1/2 inside the parentheses.

[tex]y-5=\frac{1}{2}x-1[/tex]

Add 5 both sides of the equation.

[tex]y=\frac{1}{2}x+4[/tex]

Answer:

The slope is the change in y over the change in x.

(7-5) / (6-2) = 2 / 4 = 1 / 2

In y = mx + b, we know y, m, and x. Now solve for b:

Let's use the point (2, 5).

5 = (1/2)(2) + b

5= 1 + b

b = 4

Now put it together:

y = (1/2)x + 4

Step-by-step explanation:

Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?

Answers

s = side length of square

4s = perimeter of square

L = length of rectangle

W = width of rectangle

P = 2L+2W = perimeter of rectangle

4s = 2L+2W .... since we want the perimeters the same

4s = 2(L+W)

s = 0.5(L+W)

s^2 = (0.5(L+W))^2 ... square both sides

s^2 = 0.25(L+W)^2

The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.

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

The area of the rectangle is LW

Let's subtract this from the area of the square and see what we get

A = area of square = s^2

B = area of rectangle = LW

C = difference in area

C = A - B

C = s^2 - LW

C = 0.25(L+W)^2 - LW

C = 0.25(L^2+2LW+W^2) - LW

C = 0.25L^2+0.5LW+0.25W^2-LW

C = 0.25L^2-0.5LW+0.25W^2

C = 0.25(L^2-2LW+W^2)

C = 0.25(L-W)^2

Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.

So C is always positive as long as [tex]L \ne W[/tex]

If C > 0, and C = A - B, then

C > 0

A-B > 0 .... replace C with A-B

A > B .... add B to both sides

This shows the square area is always larger than the rectangle.

Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.

We make [tex]L \ne W[/tex] to have a nonsquare rectangle.

(x - 3)? > -3(x + 2) for x = 3

Answers

Answer:

The Left side (0) is greater then the right side (-15)

Step-by-step explanation:

(x - 3) is greater than -3(3+2)

Help me !!! Solve: 3b − 2 = 7

Answers

Answer:

B=3

Step-by-step explanation:

3b - 2 = 7
+2 +2
3b = 9
Divide by 3 on both sides...
b = 3
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