Explain how to distinguish between rational and irrational numbers

The inverse of the equation y = -12x + 7 is found by replacing 'y' with 'x' and 'x' with 'y', then solving the equation for y. The result is y = 1/12x - 7/12.

The equations y = -12x + 7 is given, and you are asked to find the inverse of this equation. The first step to finding the inverse of a function is to replace 'y' with 'x' and 'x' with 'y'. So, our equation becomes x = -12y + 7. Now, you need to solve this equation for y to find the inverse function. You do this by subtracting 7 from both sides then dividing by -12, which yields: y = (-x + 7) / -12 or y = 1/12x - 7/12. This is the inverse of the given function.

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The answer would be

A: (-2,5)

Hope this helped

In order to construct the bisector of ∠A using a compass the steps are as following :

1) Place the point of the compass on point A and draw an arc that intersects the sides of ∠A. Label the points of intersection as points B and C.

2) Place the point of the compass on point B and draw an arc in the interior of the angle.

3) Without changing the opening of the compass, place the point of the compass on point C and draw another arc in the interior of the angle.

4)  Label the intersection of the arcs in the interior of the angle as point D.

5) Use the straightedge to draw AD−→−.

Given condition is- The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids.

Let the total number of candies in the bag be = x

Then, Skittles are [tex]\frac{1x}{2}[/tex]

Candies left = [tex]x-\frac{x}{2}[/tex] = [tex]\frac{x}{2}[/tex]

M&Ms are = [tex]\frac{1x}{8}[/tex]

Now remaining candies are= [tex]\frac{3x}{8}[/tex]

Now Life savers are = [tex]\frac{9x}{32}[/tex]

Now adding all these 3 candies

[tex]\frac{x}{2}+ \frac{x}{8}+\frac{9x}{32}[/tex]

=[tex]\frac{29x}{32}[/tex]

Now the remaining candies sour patch will be =

[tex]x-\frac{29x}{32} =\frac{3x}{32}[/tex]

Hence, sour patch kids are [tex]\frac{3}{32}[/tex]

Answer:

To find the sum of  a + b where a and b are rational number.

1. when a and b are natural numbers

just add them . for example a =3, b=8

then ,a + b = 11

2. When a and b  are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When  a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

a+ b= -6 + 2= -4

a= 8, b= -2

a+ b= 8 +(-2) =6

I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction=[tex]\frac{p}{q}[/tex] and b = Any fraction=[tex]\frac{u}{v}[/tex]

now ,

[tex]\frac{p}{q} + \frac{u}{v}[/tex]

Find L.C.M of q and v

= if q and v are Co-prime , just multiply them to find their  L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

non common=2,3

L.C.M= 2×2×3×3=36

Suppose LCM of q and v = r

then ,[tex]\frac{p}{q} + \frac{u}{v}[/tex]

=[tex]\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\[/tex]

= [tex]{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k[/tex]

then ,

a + b=[tex]\frac{k}{r}[/tex]

i think the answer is going to be d

The system of equations has no solutions because the equations represent the same line and lines are parallel. Therefore, option a is the correct answer.

Let's analyze the system of equations:

−x+2y=6

−x+2y=0

Both equations have the same coefficients for x and y, which means they represent parallel lines.

However, they also have different constants on the right-hand side (6 and 0).

The system of equations is inconsistent because parallel lines with different y-intercepts do not intersect.

Therefore, there are no solutions.

The correct answer is: A. None

90 is the answer i did the math

487.2

Find mean by adding all numbers together and then dividing by the number of numbers

Answer:

The answer is 474 :))

420-600=-180 Hope this helps

Mason's ending elevation after descending 600 feet from a starting elevation of 420 feet is -180 feet, meaning he is below sea level.

To solve for Mason's elevation after his descent, we need to subtract the distance he traveled downward (600 feet) from his starting elevation (420 feet). We can represent this mathematically as:

Elevation after descent = Starting elevation - Descent

Elevation after descent = 420 feet - 600 feet

Elevation after descent = -180 feet

Therefore, when Mason stops, he is at an elevation of -180 feet. This means he is 180 feet below sea level, assuming the initial elevation is measured from sea level.

Remark

You have to be awfully careful with this inequality. If can cause you all kinds of grief.

The easiest way to do this is to begin by dividing by - 1. What that does is turn the inequality

from (-x/2) < - 1 to

x /2 > 1

The rule is when you divide by a negative, that turns the < sign to > or the other way around ie > to <.  You could actually show  that happening.

Start with your given

-(x / 2) < - 1                      Add 1 to both sides.

-(x / 2) + 1 < - 1 + 1           The 1 and - 1 cancel on the right.

-(x/2) + 1 < 0                    Add x/2 to both sides

-(x/2) + x/2 + 1  <  x/2      Add the like terms on the left.

1 < x/2                             Which is exactly what we predicted would happen

                                      Multiply by 2

2*1 < (x/2) * 2

2 < x

Answer:

250-p/24

Step-by-step explanation:

the amount of money Liam starts with= 250

Amount Liam on the present= p/24

The answer will be for x-intercept is (6,0)

And the y-intercept to be (0,-9)

Answer:

Option D is correct.

Step-by-step explanation:

Given:

Distance Juan runs around a football field = [tex]4\frac{1}{6}\:times[/tex]

Distance Antonio runs around a football field = [tex]3\frac{2}{3}\:times[/tex]

We need to find the distance they run in improper fraction.

We are given Distance in Mixed fraction. So we convert the distance in improper fraction.

Distance Juan runs around a football field = [tex]4\frac{1}{6}=\frac{4\times6+1}{6}=\frac{25}{6}[/tex]

Distance Antonio runs around a football field = [tex]3\frac{2}{3}=\frac{3\times3+2}{3}=\frac{11}{3}[/tex]

Therefore, Option D is correct.

Final answer:

To multiply 14 by 25, you multiply each digit of 25 by 14 individually and then sum the results, yielding a product of 350.

Explanation:

The student has asked to multiply 14 by 25 and express the answer in simplest form. Multiplication is a basic arithmetic operation, and it is a straightforward process. To multiply 14 by 25, you can use the following steps:

Multiply the ones digit of the second number by the first number: 5 x 14 = 70.

Multiply the tens digit of the second number by the first number: 2 x 14 = 28. Remember that since this 2 represents 20 in the number 25, the result (28) will actually represent 280 when you include it in the final answer.

Add the results from steps 1 and 2: 70 + 280 = 350.

Thus, the product of 14 and 25 is 350.

Hello!

Here's how to solve for x.

27=17+2x

Our first step is to subtract 17 from both sides, leaving us with

27-17=17(-17)+2x --- > 10=2x

We then divide both sides by 2 to isolate  x!

10/2=2x/2

10 divided by 2 gives us 5 meaning that x=5

Answer:

15 5/9 °C

Step-by-step explanation:

Put 60 where F is in the equation and do the arithmetic.

... C = (5/9)(60 -32) = (5/9)(28) = 140/9

... C = (135 +5)/9 = 15 5/9

Answer is 0.2

To fnid the decimal, dovide the percentage by 100. 20/100 is 0.2.

I hope youre still around to read this

The correct answer is:  " 0.2 " .

_____________________________________

20 % =  20/ 100 = 2/10 = 0.2 .

____________________________________

Answer,

X = 18

Hope this helps :-)

13x=234

divide 13 on both sides

x=18

The range is how long the graph extends vertically. So, the lowest value is -9 (since the graph extends down until -9) and the highest value is 9 (since the graph extends up until 9). The lowest value goes in the first box and the highest value goes in the second box. The range is:

-9 ≤ g(t ) ≤9

7.154 is your answer to 0.98 times 7.3

Hello there.

This question is so easy to me.

[tex]0.98*7.3[/tex]

Explanation:

↓↓↓↓↓↓

Multiply without the decimal points, then you put in the decimal point in your answer.

[tex]98*73=7154[/tex]

0.98 it can also has two decimal places.

7.3 it can also has one decimal place.

Therefore, your answer it has three decimal places.

Answer⇒⇒7.154

Hope this helps!

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Have a great day!

-Charlie

B

the surface area (SA ) is made up of 2 rectangles 2 by 6, 2 rectangles 2 by 5 and 2 rectangles 6 by 5

SA = 2( 2 × 6 ) + 2(2 × 5 ) + 2(6 × 5 )

    = 24 + 20 + 60 = 104 m²

Five less then f

f-5

The expression for the number of pineapples Filip has, given that Francesca has 'f' pineapples and that she always has 5 more than Filip, is 'f - 5'. This algebraic expression signifies that Filip will always have five less than whatever amount Francesca has.

The subject of your question relates to algebraic expressions, which is an essential concept in Mathematics. To create an expression that represents the number of pineapples that Filip has, we need to understand the relationship provided in the question, which is that Francesca has five more pineapples than Filip. If Francesca has 'f' pineapples, we can express the number of pineapples Filip has as 'f - 5' because Filip will always have five less than whatever amount Francesca has.

Here's why that is: Let's say Francesca has 10 pineapples. According to the question, Filip would have 10 (Francesca's pineapples) - 5 (since he has 5 less) = 5 pineapples. No matter how many pineapples Francesca has, if you subtract five from it, you get the number of pineapples that Filip has.

This example demonstrates how algebraic expressions are used to represent relationships or scenarios mathematically. Remember, 'f - 5' is the simplified form of the expression, and it illustrates the consistent difference of 5 pineapples between Francesca and Filip.

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Don't you just add them together to get -33x^3?

The number in the hundreds place is 0

Answer:

B) 0

Step-by-step explanation:

The number that represents the digit in the hundreds place of the number 1098 is 0. Since we know that a hundred (100) has two zeros, this means we will count 2 values starting from the back of the given number (1098). The value before the last number counted will represent the digits in the hundred place. The two values counted from the back are 8 and 9. The value preceding 9 is 0, thereby making 0 to represent the digit in the hundred place.

the 1st one is true but the 2nd one is not true

Answer:

+22

Step-by-step explanation:

Given g(x) = -x^2 + 4x - 11, g(4) is -(4)^2 + 4(4) - 11, or just -11.

Then -2 times g(4) = -2(-11) = +22

5 5/8 cups, 8 people 4 1/2 cups, 2 people 1 1/8 cups, 4 1/2 = 4 4/8

4 4/8  + 1 1/8= 5 5/8

40°, 50° and 90°

the sum of the angles in a triangle = 180°

sum the parts of the ratio : 4 + 5 + 9 = 18 parts

divide 180 by 18 to obtain 1 part

[tex]\frac{180}{18}[/tex] = 10° ← 1 part

4 parts = 4 × 10 = 40°

5 parts = 5 × 10 = 50°

9 parts = 9 × 10 = 90°

The answer is Vertical angles are equal.

Answer:

Vertical angles are equal

Step-by-step explanation:

just did this assignment :)