Find range of the real function
[tex]f = \left \{ \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R \right \}[/tex]
from R into R​.

Answer:

Step-by-step explanation:

x =(-7+√-7)/-2=(7-i√ 7 )/2= 3.5000+1.3229i

 or:

x =(-7-√-7)/-2=(7+i√ 7 )/2= 3.5000-1.3229i

Answer:

c) 2⁻⁹

Step-by-step explanation:

1) use negative power rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]

1/2⁹

2) simplify ₂⁹ to 512

1/512 ( same as (8) ⁻3

Answer:

c

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 8 = 2³ , then

[tex](8)^{-3}[/tex]

= [tex](2^3)^{-3}[/tex]

= [tex]2^{3(-3)}[/tex]

= [tex]2^{-9}[/tex] → c

Answer:

hope you like my answer its letter B

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the given expression.

[tex] \rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } } [/tex]

If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} } [/tex]

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } } [/tex]

We know that:

[tex] \rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1[/tex]

[tex] \rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)[/tex]

Therefore, the expression becomes:

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}} [/tex]

[tex] \rm = \dfrac{1 - \sin(x)}{\cos(x)}[/tex]

[tex] \rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) } [/tex]

[tex] \rm = \sec(x) - \tan(x) [/tex]

[tex] \sqrt{ \frac{ \cos(n) }{1 + \: \sin(n) } } [/tex]

see the attachment!!

hope it helps

#carryolearning

Answer:

Domain: {2,8,30,46}

Range: {-1,9,16}

Step-by-step explanation:

Yes, it is function because each of the elements of x are related or mapped with only one and unique elements of y. That's why the relation is a function.

Answer:

I think its um 1.2 im sorry if im wrong

Step-by-step explanation:

Answer:

−10.9

Step-by-step explanation:

−4.6p−6.3p+3.9

Combine −4.6p and −6.3p to get −10.9p.

dp/d (−10.9p+3.9)

−10.9p ^1−1

so it is −10.9

Answer:

Answer:

hen she divided 9 by integer b and got −3. Find. Colleen divided integer a by −5 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b. a b = Categories Uncategorized. Leave a Reply Cancel reply. Your email address will not be published.

Step-by-step explanation:

A triangle’s three angles sums up to 180 degrees. So the first thing you should do is subtract 50 from 180

180 - 50 = 130

Since it’s an isosceles triangle, ∠A and ∠B are of equal size. So we divide the result, 130, by two. This would give us the m∠A, which is 65.

130/2 = 65

Answer:

The slope is -1

Step-by-step explanation:

Slope formula:

In (9,-9):   9 is x1 and -9 is y1

In (1,-1):      1 is x2 and -1 is y2

m= y2-y1/x2-x2

m= -1+9/1-9

Which is 8/-8

Simplify:

-1

The slope is -1

Hope this helps!

Answer:

-1

Step-by-step explanation:

To find slope, take the two points and find the RISE/RUN, which is y-y/x-x. Stay consistent with how you order the numbers. In this case, I'll do -1 -(-9) / 1 - 9. That will give you 8/-8, which when simplified gives you -1.

Answer:

33x + 55y

Step-by-step explanation:

1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.

Therefore, the answer is 33x + 55y.

Answer:

15 and 20.

Step-by-step explanation:

The 2 numbers are both divisible by 5.

Listing numbers whose LCM is 60 and divisible by 5.

20 and 30 :- not this as the HCF is 10.

15 and 20 : - HCF = 5 and LCM = 60.

Aviv is thinking of the numbers 60 and 5.

Let's consider the factors of 5 and the prime factorization of 60 to find the two numbers Aviv is thinking of.

The prime factorization of 60 is \(2^2 \times 3 \times 5\).

Since the lowest common multiple of two numbers is the product of their highest powers of prime factors, and we know the lowest common multiple is 60, this suggests that one of the numbers includes \(2^2\), \(3\), and \(5\) as prime factors.

However, we also know that the highest common factor of the two numbers is 5. This means that the second number must include \(5\) as a prime factor.

Putting these pieces together, the two numbers that Aviv is thinking of are \(2^2 \times 3 \times 5 = 60\) and \(5\).

So, Aviv is thinking of the numbers 60 and 5.

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Answer:

x = 7/2 = 3.500

x = 4

 x=  0.0000 - 1.4142 i  

 x=  0.0000 + 1.4142 i

Step-by-step explanation:

sorry if its wrong

Answer:

[tex](a^{2}+b^{2})^{1/3}[/tex]

Step-by-step explanation:

(a² + b²)^1/3

Any number to the power 1/2 means to square root the number

Any number to the power 1/3 means to cube root the number etc.

Answer:

Answer C

Step-by-step explanation:

seeing as how the x coordinates of the points are 2,3,4,6,7, we know that the answer must have these numbers, and only these numbers, as the domain. The only answer that has that is answer C.

Answer:

16

Step-by-step explanation:

N equals 12, so

4 + 12 = 16

Answer:

4 + n = 16

Step-by-step explanation:

n = 12 so 4 + 12 is 16

Answer:

6,1 because 61's square root is 3721

Answer:

1.81

Step-by-step explanation:

becase 4.51 -2.7 equls 1.81 its kinda simple

Answer:

Answer is 1.81

Step-by-step explanation:

The way you get this is by subtracting normally.⤵⤵⤵

[tex] \: \: \: \: 4.51 \\ \frac{ - 2.70}{} [/tex]

1 - 0 = 1

Since you can't subtract 7 from 5 you have to carry over from the next number (4). Take from 4, that leaves 3 in its place, and now you got an extra 1, so you can subtract 7 from 15 to get 8. Now subtract 2 from that 3 to get 1. That's how you get the answer 1.81 .

It's basically a normal subtraction problem, you just have to Remember to put the decimal point in the right place.

Hope this helped :)

Answer:

Step-by-step explanation:

Volume = mass * density

Substitute values and calculate:

Answer:

Open the brackets for this,

x + 9 = -14

x = -14 - 9

x = -23.

-23 is the correct option.

if you're looking for someone to double-check I just did and you're right.

Answers:

============================================

Explanation:

The parallel lines show that x = 60 since the 60 and the x angles are alternate interior angles. Alternate interior angles are congruent when we have parallel lines like this.

Focusing on the largest triangle, the three angles add to 180 degrees

x+y+50 = 180

60+y+50 = 180

y+110 = 180

y = 180-110

y = 70

This triangle appears to be equilateral, but it's not entirely so (it's fairly close however). That 50 degree angle in the bottom right corner would need to be 60 degrees for it to be equilateral.

Answer:

put it in desmos.................

Two point three tens times m equals zero point forty six hundredths

The given equation in the form of a statement can be written as Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and  four times of t.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be written in the form of an statement as:

Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and  four times of t.

Hence, the given equation in the form of a statement can be written as Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and  four times of t.

Learn more about Equation here:

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