Introduction to interval notation

Finding Domain and range

Given :

A line 2x + 1 =0 .

To Find :

The slope of the given line .

Solution :

We know , slope of line is given by the tangent of the angle between the x-axis and the line .

Now, for line 2x + 1 =0 i.e [tex]x=\dfrac{-1}{2}[/tex] .

The line is perpendicular to x-axis and cuts the x-axis at [tex]\dfrac{-1}{2}[/tex] .

Therefore , the angle between the line and x-axis is [tex]90^o[/tex] .

So , slope [tex]m=\tan\ 90^o[/tex] i.e undefined .

Therefore , the slope of given line is not defined .

Hence , this is the required solution .

Answer:

0.9

Step-by-step explanation:

I am not sure how to really explain but the 2 negatives equal a positive. So if there is 2 Negatives also know as -     = a positive. And a positive is just the the opposite of a negative

The product of the given fractions is 3/25.

The given fractions are -3/5 and -1/5.

The product of two fractions can often be expressed by an equivalent fraction where the numerator and denominator have been divided by a common factor. The product of two fractions is the product of the numerators and the product of the denominators.

Now, multiply the given fractions

-3/5 × -1/5

Multiply numerators and write the result in numerator and multiply denominators and write the result in denominator.

That is, -3/5 × -1/5 = 3/25

Therefore, the product of the given fractions is 3/25.

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Answer:

6.79

Step-by-step explanation:

6.79 x 10 = 67.9

The unknown number z would be 6.79

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given that 67.9 is ten times as much as unknown number;

Let the unknown number be z;

Z x 10 = 67.9

Now divide by 10 on both sides, we get;

Z = 67.9/10

Z = 6.79

Therefore,

6.79 x 10 = 67.9

Hence, the unknown number z would be 6.79

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I will assume you want it in the form of y>mx+b

0.5x-2y>3

0.5x-3>2y

0.25x-1.5>y

Answer:

[tex]x>4y+6[/tex]

Step-by-step explanation:

[tex]0.5x-2y>3[/tex]

First, we will have to add 2 to both sides.

[tex]0.5x-2y+2y>3+2y[/tex]

This equals to

[tex]0.5x>2y+3[/tex]

Now, we will make this into a fraction and divide. We will divide by 0.5.

[tex]\frac{0.5x}{0.5} >\frac{2y+3}{0.5}[/tex]

Now that we divided, we got our answer!

[tex]x>4y+6[/tex]

Hope this helps!

The expression equivalent to 6x + 18 is 3(2x + 6) thus option (B) is correct.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that are all constrained and create an equation.

Expression is very useful to determine the end or root value of constraint.

As per the given,

6x + 18

Take 3 as common,

3(2x + 6)

Hence "The expression equivalent to 6x + 18 is 3(2x + 6)".

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Plug in the value to solve the expression.

[tex](-7)^2+4(-7)-2[/tex]

[tex]49-28-2[/tex]

[tex]19[/tex]

Hope this helps.

頑張って!

Hey there!

a^2 + 4a - 2

= -7^2 + 4(-7) - 2

= -49 - 28 - 2

= -77 - 2

= -79

Therefore, your answer is: -79

Therefore, your answer is: -79

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

X= 12 or 18 (see below)

Step-by-step explanation:

This could be read two different ways.

0=2/3x-12

12=2/3x

12÷2/3=x

12*3/2=x

18=x

—-OR—-

0=2/3(x-12)

0=2/3x-8

8=2/3x

8÷2/3=x

8*3/2=x

12=x

Answer:

299

Step-by-step explanation:

Answer:

it would cost them $100

Answer:

it would cost them $100

Step-by-step explanation:

Answer:

158

Step-by-step explanation:

2(x square + y square)

2 (X+y) square -2 xy

2(10) square -2(21)

2×100-42

200-42

=158

Answer:

Lydia must sell 552 burritos

Step-by-step explanation:

Answer: 991

square root of 982081 hope this helps

Answer:

The restaurant is not at half way

Step-by-step explanation:

Given

[tex]Total\ Distance = 72[/tex]

[tex]Diego = 16x - 3[/tex]

[tex]Anya = 5x + 2[/tex]

Required

Accept or reject Diego's claim

To do that, we need to determine the value of x by:

Diego + Anya =Total Distance

Substitute values for each parameter

[tex]16x - 3 + 5x + 2 = 72[/tex]

Collect Like Terms

[tex]16x + 5x = 72 + 3 - 2[/tex]

[tex]21x = 73[/tex]

Divide both sides by 21

[tex]x = \frac{73}{21}[/tex]

Substitute the value of x in Diego and Anya's distance

[tex]Diego = 16x - 3[/tex]

[tex]Diego = 16 * \frac{73}{21} - 3[/tex]

[tex]Diego = \frac{1168}{21} - 3[/tex]

[tex]Diego = \frac{1168 - 63}{21}[/tex]

[tex]Diego = \frac{1105}{21}[/tex]

[tex]Diego = 52\frac{13}{21}[/tex]

[tex]Anya = 5x + 2[/tex]

[tex]Anya = 5 * \frac{73}{21} + 2[/tex]

[tex]Anya = \frac{365}{21} + 2[/tex]

[tex]Anya = \frac{365 + 42}{21}[/tex]

[tex]Anya = \frac{407}{21}[/tex]

[tex]Anya = 19\frac{8}{21}[/tex]

Since, both distances are not equal,

Then Diego's claim is false and incorrect

Answer:

36 and 49

Step-by-step explanation:

6x6 and 7x7

Answer:

1.39

Step-by-step explanation:

this is the answer

Step-by-step explanation:

2x+3

Answer:

2x+3x

Step-by-step explanation:

Answer:

$56.82

Step-by-step explanation:

The sum of all the stuff she bought is 10+20+23, so 53.

Now you need to find the tax, so you multiply 53 x 7.2%, and to change a % to a number you move the decimal place two to the left, so you get .072

$53 x .072 = $3.816 sales tax

$53 for the stuff plus $3.816 tax = $56.816

and since money is only two decimal places and the 6 is higher than 5, you have to round up to the nearest penny, so $56.82!

Answer:

56.81$ she paid

Step-by-step explanation:

3(2x+4),  2(3x+6) and 6(x + 2) are the expressions are equivalent to 6X +12

An expression is combination of variables, numbers and operators.

The given expression is 6X +12

We have to find the equivalent expressions of 6x+12

Let us take 6 as a common factor we get

6(x+2)

so 6(x+2)  is equivalent expression of 6X +12

Now let us take 3 as common factor

3(2x+4)

so 3(2x+4)  is equivalent expression of 6X +12

Now let us take 2 as common factor

2(3x+6)

so 2(3x+6)  is equivalent expression of 6X +12

Hence,  3(2x+4),  2(3x+6) and 6(x + 2) are the expressions are equivalent to 6X +12

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Answer:

C.0.1

Step-by-step explanation:

Because this is 10% confidence confirmed

Answer:

The weight is 4 pounds :D

Step-by-step explanation:

Answer:

Let x be the amount Nick's little sister is given.

x = 10 - 4

Answer:

The equation of the tangent line

[tex]y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )[/tex]

Step-by-step explanation:

Step(i):-

Given function y = x cot (x) ....(i)

Differentiating equation (i) with respective to 'x' , we get

[tex]\frac{dy}{dx} = x (-Co sec^{2} (x)) +cot(x) (1)[/tex]

Step(ii):-

The slope of the tangent line

[tex]\frac{d y}{d x} = -x Co-sec^{2} (x) +cot x[/tex]

[tex](\frac{d y}{d x} )x_{=\frac{\pi }{4} } = -\frac{\pi }{4} Co-sec^{2} (\frac{\pi }{4} ) +cot \frac{\pi }{4}[/tex]

We will use trigonometry formulas

[tex]Cosec(\frac{\pi }{4} ) = \sqrt{2}[/tex]

[tex]sec(\frac{\pi }{4} ) = \sqrt{2}[/tex]

[tex]Cot(\frac{\pi }{4} ) = 1[/tex]

Now the slope of the tangent

[tex]\frac{dy}{dx} =-\frac{\pi }{4} (\sqrt{2})^{2} )+1[/tex]

[tex]\frac{dy}{dx} =-\frac{\pi }{2} +1[/tex]

Step(iii):-

Given

Substitute [tex]x=\frac{\pi }{4}[/tex] in y = x cot (x)

               [tex]y = \frac{\pi }{4} cot (\frac{\pi }{4} )[/tex]

              [tex]y = \frac{\pi }{4}[/tex]

The point of the tangent line  [tex](x ,y ) = (\frac{\pi }{4} , \frac{\pi }{4} )[/tex]

The equation of the tangent line

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

[tex]y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )[/tex]

Answer:

5 + y - 2 - 6 y + y; 8 y + 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is not too clear. check the attachment for better view of the question.

From the options The set A = {2, 3, 4} will be compared to other options to determine which of the remaining set is equivalent to the set A.

x e R means the values in the set are real numbers and real numbers can either be rational or irrational. R= Hence the real numbers between  1 and 5 are not restricted to only positive integer values but also decimal numbers. and since set A does nit contain ant rational number, hence both set B and C are not equivalent to set A.

Also, set B is not equivalent to set C even though the values in both sets are integers. They are not equal because 1 is included in set B but not in set C.

Set D and E are equivalent because they both contains integers between 1 and 5. Integers are positive whole numbers between 1 and 5 since the both sets doesn't contain any negative value. Hence the set A = set D = set E

Answer:

4x= 14

Step-by-step explanation:

Answer:

9.25

Step-by-step explanation:

M₄ means the area using 4 rectangles with heights equal to the function evaluated at the midpoints.

The width of each rectangle is (4−0)/4 = 1.

The area of each rectangle is:

M₁ = (1) (1.12) = 1.12

M₂ = (1) (1.80) = 1.80

M₃ = (1) (2.69) = 2.69

M₄ = (1) (3.64) = 3.64

The total area is therefore:

M = 1.12 + 1.80 + 2.69 + 3.64

M = 9.25

Answer : The equation for 'h' is [tex]h=\frac{2A}{b}[/tex]

Step-by-step explanation :

The given equation is:

[tex]A=\frac{1}{2}bh[/tex]

Now we have to determine the equation for 'h'.

[tex]A=\frac{1}{2}bh[/tex]

Multiplying the equation by 2.

[tex]2\times A=2\times \frac{1}{2}\times bh[/tex]

on simplifying, we get:

[tex]2\times A=bh[/tex]

Dividing the equation by 'b'.

[tex]\frac{2\times A}{b}=\frac{bh}{b}[/tex]

[tex]\frac{2\times A}{b}=h[/tex]

or,

[tex]h=\frac{2A}{b}[/tex]

Therefore, the equation for 'h' is [tex]h=\frac{2A}{b}[/tex]

Answer: B

Step-by-step explanation:

let the nisha be x and nishan be y

Step-by-step explanation:

ATQ

your statement is x=2y

Answer:

You would have to break the polynomial down into smaller binomials or monomials. Take x^2-6x-9 for instance. It would break down into (x+3)(x-3) through the a^2+2ab+b^2 formula. After that set the two nomials equal to zero and solve for x. After that, you would plug back in x to see whatever x works. You may more than two nomials after breaking it apart so keep that in mind.