Communicate and Justify:

Tau says that the
sum of -1 3/4 and 2 1/2 is the same as the difference
between 2 1/2 and 1 3/4. Is Tau correct? Explain why
or why not.

27 years are spent sleeping; 8 years are spent watching television.

What are examples of linear equations?

Let n constitute the quantity of years looking TV.

Then sleeping equals n+19. So:

             n+n+19=35

                2n=16

                  n=8

8 years are spent watching TV; 27 years are spent sleeping.

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Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

We are given the function;

f(x) = {3x - 1, if -9 < x ≤ -2

        {-5, if -2 < x ≤ 1

        {x - 6, if 1 < x < 7

Now, the domain of a function is defined as the set of all possible input values that make the function to exist. Meanwhile, the range of a function is the set of all possible output values that make the function to exist.

Looking at the given intervals and combining them all, we can tell that the domain is as follows; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

Now, the range for 3x - 1 is;

3(-9) - 1 = -28 and 3(-2) - 1 = -7

Range is greater than -28 and less than or equal to -7

Range of x - 6 will be greater than -5 and less than 1

Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

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Ms Patel purchased 38 shares of stock a and 41 shares of stock b

Total amount invested in the two stocks = $825

Value of stock a = $12.41

Value of stock b = $8.62

Let the number of shares of stock a be x

Let the number of shares of stock b be y

Therefore, forming the equation we get:

x + y = 79------(1)

12.41x + 8.62y = 825

1241x + 862y = 82500 ------(2)

Multiplying equation (1) by 862 we get,

862x + 862y = 68098------(3)

Equating equations (2) and (3) we get

379x = 14402

x = 38

Putting x = 38 in (1) we get

y = 41

Hence, she purchased 38 shares of stock a and 41 shares of stock b

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Answer:

408 buiscuits

Step-by-step explanation:

it easy you will just multiply 17(no of buiscuits) × 24(packets of buiscuits)

total = 17×24

total = 408 buiscuits in a box

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For the given wire, the length of each piece of wire will be 76inch and 24 inch and quadratic equation will be x² - 100x + 1800 = 0

An algebraic equation of a second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

Given,

Length of wire = 100 inches

Sum of the areas of two squares = 400 inch²

let length of one wire - x

the length of other wire will be - 100-x

Now, the area of the square = Side²

⇒ (x/4)² + ((100 - x)/4)² = 400

⇒ (1/4)²  (x² + 10000 + x² - 2(100)(x)) = 400

⇒ 10000 + 2x² + - 200x = 400 × 16

⇒ 2x² - 200x = 6400 - 10000

⇒ 2x² - 200x = - 3600

⇒ x² - 100x + 1800 = 0

⇒On solving for the value of x, we have x= 76 and 24

Now,

76/4 = 19,

24/4 = 6

So, we have the length of each wire as 76inch and 24inch

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Answer:

Step-by-step explanation:

The answer is postulate. That is a rule that is accepted as true without proof.

Answer: to the left -7

Step-by-step explanation: -1 + -6 = -7

D) Left one unit, then left another six units.

-1 + (-6) = -7

According to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.

A popular charting tool is a histogram. On an interval scale, it is used to describe either discrete or continuous data. It is widely used to show the key properties of distribution of the data in an easy-to-understand fashion.

Examine the histogram to see if it shows a normal distribution. Once you've plotted all of the frequencies here on the histogram, it will take on a shape. If the shape resembles a bell curve, it indicates that perhaps the frequencies are evenly distributed. A peak would appear on the histogram.

Ms. Wendell sells 25% of her her cows. While purchasing a cow, it is important to remember that weight is an important factor. While there may be some exceptions, the majority of cows sold in the United States weigh between 800 and 1200 pounds.

So, if your farm falls within this range, it would be wise to consider buying a cow from Mrs. Wendell .

Additionally, based on these numbers alone, it would make sense for you to purchase one or more cattle from Mrs. Wendell.

Therefore,

according to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.

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The distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.

Distance between two points in x y plane by distance formula is:

= √{(x₁ - x₂)² + (y₁ - y₂)²}

Substituting the values of the points:

= √{( -3 - 5 )² + ( 6 - 2 )²}

Solving it further:

= √{( -8 )² + ( 4 )²}

= √{ 64 + 16 }

= √80

= √(2× 2 × 2 × 2 ×5 )

= 2×2× √5

= 4√5

So, the distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.

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The value of x for given equation (2x - 20) /3 = 2x is x = -5

For given question,

we have been given an equation  2x minus 20 divided by 3 = 2x

i.e., (2x - 20) /3 = 2x

This equation models temperature change, where x represents the difference in degrees in the last 24 hours.

We need to solve given equation for x.

(2x - 20) /3 = 2x

(2x - 20)  = 3(2x)                ...........(Multiply by 3 on both sides)

2x - 20 + 20 = 6x + 20      ...........(Add 20 to both sides)

2x - 6x = 6x + 20 - 6x       ..........(Subtract 6x from both sides)

-4x = 20                            

x = -5                                  ..........(Divide by - 4 on both sides)

Therefore, the value of x for given equation (2x - 20) /3 = 2x is x = -5

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Answer:

Length is 11 meters

Step-by-step explanation:

Formula we use,

→ P = 2(l + w)

Then the length of rectangle will be,

→ 32 = 2(L + 5)

→ 2L + 10 = 32

→ 2L = 32 - 10

→ L = 22/2

→ [ L = 11 m ]

Hence, the length is 11 meters.

Answer:

slope = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (- 6, - 5 ) and (x₂, y₂ ) = B (- 4, - 8 )

m = [tex]\frac{-8-(-5)}{-4-(-6)}[/tex] = [tex]\frac{-8+5}{-4+6}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

4n² + 5n - 636

splitting the middle term

4n² + 53n - 48n - 636 = 0

n(4n + 53) - 12(4n + 53) = 0

(n - 12) (4n + 53) = 0

n = 12 and n = -53/4

Answer:

156

Step-by-step explanation:

Answer:

Try drawing whatever makes you feel satisfaction or happiness. There is inspiration all around you. :)

LIST ON WHAT TO DRAW

just draw something colourful

draw something you that you like or admire

or if my options aren't helpful just look for something at the internet

draw anything that you might be in your mind

HOPE IT HELPS

The smallest positive integer is 1.

Positive Numbers definition the meaning of positive whole numbers in numerical states that "Numbers that are more noteworthy than zero are positive numbers". Numbers can be grouped into three kinds: negative whole numbers, zero, and positive whole numbers. Normal numbers are extremely normal to people since they come from counting objects like apples or sheep.

If s is integer

S = n (a + l)/2

Normal numbers can be utilized to assess your assets, the amount of you possess. There is no biggest regular number. The following regular number can be found by adding 1 to the ongoing normal number, creating numbers that go on "for eternity". Every one of the numbers we use for counting are positive whole numbers. Positive numbers are entirely of a bigger gathering of numbers called whole numbers. Numbers are the entire numbers, both positive and negative. By entire numbers we mean numbers without divisions or decimals.

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According to the given statement;

Quotient in lowest terms for 8 divided by 1 4/5  is 4.4444444

A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. Let's use an illustration to better comprehend this idea. The pizza in the following image has been sliced into 8 equally sized pieces. Now, if we wish to refer to a single portion of the pizza, we can do so by using the notation 1/8, which indicates that we are talking about one portion out of 8 equally sized portions.

According to the given values;

8 : 1( 4/5) = 40/9

= 4 4/9

≅ 4.4444444

Hence, Quotient in lowest terms for 8 divided by 1 4/5  is 4.4444444.

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The Answer is 4.25

hope fully this helps

Answer:

√18 = 3√2

Step-by-step explanation:

√18

√(9×2)

√9 × √2

3 ×√2

= 3√2

Answer:

I think x=4

Step-by-step explanation:

Add 32x+11x

and the answer of that divided by 172.

Hope is correct and can help you.:)

Answer:

x=4

Step-by-step explanation:

The triangle with vertices located at A(1 , 7), B(4 , 2), and C(7 , 7) has its centroid located at (4 , 16/3).

The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.

To get the centroid of a triangle, use the formula given by:

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

where C is the centroid of the triangle located at (x , y)

x1, x2, and x3 are the x-coordinate of the vertices of the triangle

y1, y2, and y3 are the y-coordinate of the vertices of the triangle

Let Point 1(x1 , y1) =  A(1 , 7)

Point 2(x2 , y2) = B(4 , 2)

Point 3(x3 , y3) = C(7 , 7)

Plug in the values in the formula.

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

C(x ,y) = [(1 +4 + 7)/3 , (7 + 2 + 7)/3]

C(x ,y) = (12/3 , 16/3)

C(x ,y) = (4 , 16/3)

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Answer:

280t^2

Step-by-step explanation:

(7t) (5t x 8)

(7t) (5x8t)

(7t) (40t)

280t^2

Hope this helps u ; )

[tex]Draw\ \overline {AB}\perp\overline {CD}\ at\ point \ A.[/tex]

Answer:

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180

Answer:

1. Distributive property

2. Reflexive property

3. Multiplication property of equality

4. Transitive property of equality

5. Addition property of equality

6. Substitution property

Step-by-step explanation:

Answer:

Her error was saying only negative number s

Hope this helps

Answer:

360° = 131° + 110° + 107° + 108°

360° = 456° + x

.: x = -96°

Answer:500

Step-by-step explanation:

If the area of the rectangle (as shown below in the reference.jpeg attached hereby for reference) is 32 sq. units, then the area of the triangle shown besides the rectangle will be 16 sq. units.

As per the question statement, area of a rectangle (as shown below in the reference.jpeg attached hereby for reference) having a length of 8 units and width of 4 units is 32.

We are required to calculate the area of the triangle (shown beside the above-mentioned rectangle in the reference.jpeg attached hereby).

From the diagram, it is clear that that base of the triangle is 4 units and since it is a right-angled triangle, it's altitude or height is 8 units.

Now the formula to calculate the area of a triangle (A) having base "b" and height "h", goes as [tex]A=(\frac{1}{2}*b*h)[/tex]

Inserting the values of our concerned triangle in the above mentioned formula, we get, Area = [tex](\frac{1}{2}*4*8)=(\frac{4*8}{2})=\frac{32}{2}=16[/tex].

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According to the given data the domain of g[f(x)] is all real numbers.

√2 and -√2.

The correct option is 1.

The collection of potential inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function. The collection of things that the machine will accept as inputs is known as the domain in the function machine paradigm.

We will respond to this question using two functions:

f(x) = x² and g(x)

= x²/ x-2

Because the domain of f(x) is the set among all real numbers,

Except for 2, the domain of g(x) is all real integers.

Now

g[f(x)]= g(x²)

=  x²/ x-2

Except for real numbers, the domain of g[f(x)] is all real numbers.

√2 and -√2.

The following is the best definition of the domain of g[f(x)]:

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I understand that the question you are looking for is:

Which description best explains the domain of (g(f(x))?