What are the domain and range of the function

What Are The Domain And Range Of The Function

Answers

Answer 1
Option 3 !
x≠-4 (the denominator makes it so x≠4)
and y cannot be -11

Related Questions

Select the correct answer.
Consider function f.
f(x) = 2x²
What is the value of (ƒ•ƒ)(x)₂
O A.
8x4
OB. 16x4
OC. 4x4
4x2
D.

Answers

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} [/tex]

[tex] \: [/tex]

[tex] = (f \circ f)(x)[/tex]

[tex] = f(f(x))[/tex]

[tex] = 2 {x}^{2} [/tex]

[tex] = 2 {(2 {x}^{2} )}^{2} [/tex]

[tex] = 2(4 {x}^{4} )[/tex]

[tex] = 2.4 {x}^{4} [/tex]

[tex] = 8 {x}^{4} [/tex]

The answer is A.

I need help!!!!
True OR False
------------------------
m - 63 = 37, m = 100?

Answers

Answer:

The answer is true!!!

Step-by-step explanation:

If m=100, 100-63=37 which is true.

Answer: A) True

Detailed Solution:

m - 63 = 37
m = 63 + 37
=> m = 100

Therefore, m = 100 so this Statement is True.

The line contains the point (5,0) and is parallel to the line defined by "-3x=4y"

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST PLEASE PLEASE PLEEEEEEEAAAAASE

Write the recursive formula for the arithmetic sequence.
A(n)=(-1)+(n-1)(-5)

Answers

The recursive formula is  [tex]a_n= a_{n-1} -5[/tex].

What is Arithmetic Progression?

A set of numbers is an arithmetic progression (AP) or an arithmetic sequence such that the difference between successive words is unchanged.

Given:

A(n)=(-1)+(n-1)(-5)

A(n) = -1 - 5n + 5

A(n) = 4-5n

n=1

A(1)= 4-5= -1

n=2,

A(2) = -6

n=3

A(3)= -11

Hence, the recursive formula is [tex]a_n= a_{n-1} -5[/tex].

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Look at the pattern.

What is the next image in the pattern?

Answers

By following the pattern the next image in the pattern is (b) since the correct option is (b).

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers is arranged in a particular way, the arrangement is referred to as a pattern.

From the pattern given: In pattern one, the first column contains 2 blocks and the second column contains 1 block. In pattern second, the first column contains 3 blocks, the second column contains 2 blocks and the third column contains 1 block. In pattern third, the first column contains 4 blocks, the second column contains 3 blocks, the third column contains 2 blocks and the fourth column contains 1 block.

∴ You can observe that block the ks are arranged in descending numbers.

Hence, option (b) is correct.

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the price of an mp3 player is increased by 8%to £52.92
what was the original price?

Answers

Answer:

49£

Step-by-step explanation:

the price of an mp3 player is increased by 8%to £52.92

what was the original price?

52.92 = 108%

52.92 : 108 = 0.49

0.49 * 100 = 49£

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

check

49 * 1.08 = 52.92

the answer is good

50 people were asked if they speak French or German or Spanish. Of these people, 31 speak French 2 speak French, German and Spanish 4 speak French and Spanish but not German 7 speak German and Spanish 8 do not speak any of the languages all 10 people who speak German speak at least one other language How many people only speak Spanish?

Answers

The number of people that speak only spanish = 6

How to Interpret Venn Diagrams?

We are given;

Total number of people surveyed = 50

31 speak French 2 speak French, German and Spanish.

4 speak French and Spanish but not German.

7 speak German and Spanish.

8 do not speak any of the languages.

All 10 people who speak German speak at least one other language.

Thus;

From the Venn diagram;

Number of people that speak only French and German = 10 - 5 - 2 - 0 = 3

Number that speak only spanish = 50 - 22 - 3 - 2 - 4 - 5 = 6

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How do I solve an endless amount of numbers with a common ratio
..........

etc. 10+1+0.1+0.01+0.001....

Answers

Answer:

11 .21 add the number together

Notice that the given sum is equivalent to

[tex]10 + 1 + \dfrac1{10} + \dfrac1{10^2} + \dfrac1{10^3} + \cdots \\\\ ~~~~~~~~~~~~ = 10 \left(1 + \dfrac1{10} + \dfrac1{10^2} + \dfrac1{10^3} + \dfrac1{10^4} + \cdots\right)[/tex]

or 10 times the infinite geometric series with ratio 1/10.

To compute the infinite sum, consider the [tex]n[/tex]-th partial sum

[tex]S_n = 1 + \dfrac1{10} + \dfrac1{10^2} + \cdots + \dfrac1{10^{n-1}}[/tex]

Multiply both sides by the ratio.

[tex]\dfrac1{10} S_n = \dfrac1{10} + \dfrac1{10^2} + \dfrac1{10^3} + \cdots + \dfrac1{10^n}[/tex]

Subtract this from [tex]S_n[/tex] to eliminate all but the outermost terms,

[tex]S_n - \dfrac1{10} S_n = 1 - \dfrac1{10^n} \implies S_n = \dfrac{10}9 \left(1 - \dfrac1{10^n}\right)[/tex]

As [tex]n\to\infty[/tex], the exponential term will decay to 0, leaving us with

[tex]1 + \dfrac1{10} + \dfrac1{10^2} + \cdots = \dfrac{10}9[/tex]

Then the value of the sum we want is

[tex]10\times\dfrac{10}9 = \boxed{\dfrac{100}9}[/tex]

Step 4: Make a prediction with your data.
a) Using your equation from step 2d, ( y=0.14x+0.75 ) estimate the GPA of a student who studies for 15 hours a
week. Justify your answer.

Answers

Answer:

estimated gpa:  2.85

Step-by-step explanation:

Evaluate y=0.14x+0.75 at x = 15 (hours):

y = 0.14(15 hours) + 0.75

  = 2.1 + 0.75

y  =  2.85  =  estimated gpa corresponding to 15 houirs of study

Help asap!!! For a brainlest

33+6f<33

Shoe your work and steps

Answers

Answer:

f < 0

Step-by-step explanation:

33 + 6f < 33 ( subtract 33 from both sides )

6f < 0 ( divide both sides by 6 )

f < [tex]\frac{0}{6}[/tex] , that is

f < 0

Area of a sector
Find the perimeter of this sector.
Give your answer rounded to 3 SF.

Pls help

Answers

The perimeter of the sector is 96.34 m if the radius of the circle is 48 m and the measure of the central angle is 115 degrees.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have given a part of the circle.

As we know:

s = rθ

s is the arc length

r is the radius of the circle

θ is the central angle in radians

The central angle is 115 degrees which is in radians:

θ = 2.00713

s = 48×(2.00713)

s = 96.34 m

The perimeter of the sector = s = 96.34 m

Thus, the perimeter of the sector is 96.34 m if the radius of the circle is 48 m and the measure of the central angle is 115 degrees.

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387 kilograms = x grams
Answer:
a. 387,000g
b. 38,700g
c. 387g
d. 3.87g

Answers

Answer:

a

Step-by-step explanation:

I kilogram is 1000 grams

Hello! Im Sezina

The answer is letter A (just multiply the given by 1,000)

find the number of primes less than 190 using the principle of inclusion-exclusion.

Answers

The number of primes less than 190 using the principle of inclusion-exclusion are 42

Principle of inclusion- exclusion

The principle of inclusion-exclusion is known as a counting technique that computes the number of elements satisfying at least one of several properties and guaranteeing that the numbers are not counted twice.

Prime numbers are numbers only divisible by 1 and itself.

Prime numbers less than 190 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181

They are 42 in number

Therefore, the number of primes less than 190 using the principle of inclusion-exclusion are 42

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The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F Question 8(Multiple Choice Worth 1 points) (04.06 MC) In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB. Graph of two intersecting lines. One line g of x is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line f of x is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line. The graph represents which system of inequalities? y ≤ −2x + 3 y ≤ x + 3 y ≥ −2x + 3 y ≥ x + 3 y ≤ −3x + 2 y ≤ −x + 2 y > −2x + 3 y > x + 3 Question 9(Multiple Choice Worth 1 points) (04.06 LC) Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and i

Answers

The graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3

How to depict the graph?

The equation of the line will be:

y = mx + b

In this case, we can observe that both lines have the same y intercept and that the lines are solid.

Hence, graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3. The graph is attached.

When the coordinate grid shows points A through, the point that is a solution to the system of inequalities is negative 6 point G at negative 3, negative 10 point H at negative 4.

Finally, the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 is the graph of two intersecting lines where both lines are solid.

One line of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.

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Please help asap
What is the domain and range of T

Answers

Answer:

Domain = {-3, -2}Range = {-4, -3, 4}

Step-by-step explanation:

The domain is the set of x-values, and the range is the set of y-values.

the average height of 10 pupils is 140cm if a new pupil joined the group the average height of 11 pupils become 148
cm find the height of new pupils ​

Answers

Answer:

228 cm

Step-by-step explanation:

the average is calculated as

average = [tex]\frac{sum}{count}[/tex] , then

[tex]\frac{sum}{10}[/tex] = 140 ( multiply both sides by 10 to clear the fraction )

sum = 1400

let the height of new pupil be x , then

[tex]\frac{sum+x}{11}[/tex] = 148 ( multiply both sides by 11 )

sum + x = 1628 , that is

1400 + x = 1628 ( subtract 1400 from both sides )

x = 228

height of new pupil is 228 cm

What is the median of the data?

Answers

Answer:

The median is 3.

Step-by-step explanation:

Since, most of the values presented are 0-8 and median is the middle of any data set. It has to be 3.

The median is 3
Have a nice day

Does the taxable capital gains added to the banker’s income move them to a higher tax rate?

Answers

The taxable capital gains added to the banker’s income move them to a higher tax rate. the statement is true.

What is income tax?

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Qualified plans provide two tax benefits that are not available in other types of investments.

Tax rates will be higher in the future with the increment of time, but the benefits of the tax-deferred savings plan will overcome higher tax rates over time.

The taxable capital gains added to the banker’s income move them to a higher tax rate. the statement is true.

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Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 1-√6 , 1+ √6 , and 7-i

Answers

Step-by-step explanation:

Use this algebra 2 theorem:

If r and q are roots of a polynomial function then

the polynomial function can be expressed as

[tex](x - r)(x - q)[/tex]

Here the roots are

1- root of 6, 1+ root 6, and. 7-i so our. function can be expressed as

[tex](x - (1 - \sqrt{6} ))(x - (1 + \sqrt{6} ))(x - (7 - i))[/tex]

The first two binomials are difference off squares so the we have

[tex] {x}^{2} + x( - 1 + \sqrt{6} ) + x( - 1 - \sqrt{6} ) + ( - 5)[/tex]

[tex] {x}^{2} - 2x - 5[/tex]

The other root is (7-i).

Also note since (7-i) is a root, then (7+I) is also a root.

So

[tex](x - (7 - i)(x - (7 + i)( {x}^{2} - 2x - 5)[/tex]

[tex]( {x}^{2} - 14x + 50)( {x}^{2} - 2x - 5)[/tex]

Simplify and it gives us

[tex] {x}^{4} - 16 {x}^{3} + 73 {x}^{2} - 30x - 250[/tex]

The graphs of the functions f (x) = 2x+ 7 and g(x) = x2 -1 intersect in t
xy-coordinate plane. What are the points of intersection?

Answers

Answer:

See below

Step-by-step explanation:

This is a line and a parabola......where they intersect the two equations are      equal :

2x+7 = x^2 - 1

x^2 - 2x -8 = 0

(x-4)(x+2) = 0         shows the x-coordinate for intersections at x = 4 and -2

sub these x values into one of the equations to calculate the y coordinate

 y = 2(4) + 7 = 15      so one point is  4,15

y = 2(-2) + 7 = 3      the other point is then  -2, 3

When a range of values is used to estimate a population parameter, it is called a. A point estiamte b. A range estimate c. A statistical parameter d. An interval estimate.

Answers

[tex] \: \huge \underline \mathbb{ \green{Answer}} \\ \\ \: \: \tt \boxed{\blue{d. \: \: an \: \: interval \: \: estimate}}[/tex]

If side b measures 5√3, what is the length of side c?

Answers

Answer:

10

Step-by-step explanation:

cos(30) = b / c

c = b / cos(30)

c = 5xsqrt(3) / 0.866

c = 10

please help this is so confusing

Answers

The answer is 24

You want to replace the x in the expression x^2-2x with 6
36-12
24
Hope this helps

Answer:

f(x)=f(6)= 6^2 - 2*6=36-12=  24

Step-by-step explanation:

This is a function, so we replace x with 6. When we do this, we use it to replace x in the above equation, so instead of having x^2-2x, we have 6^2 -2x. Then we just solve the equation, leaving us with the final solution of 24.

What is the inverse of the function g(x)=-3(x + 6)?
Please help me ASAP

Answers

Answer:

Inverse g(x) = -x/3-6

Step-by-step explanation:

To understand this just think g(x) as y so

we got y= -3(x+6) after that we change the minus three to left

so we got -y/3 because -3 is multiply. After that plus 6 came and become minus 6.

After all,you have to replace x in y place.

y = -3(x +6)

-y/3 = x +6

-y/3 -6 = x

-x/3 -6 = g(x)

How to do proportional relationships in math 7th grade ?? Please explain ?!!

Answers

Answer:

Try searching online

Step-by-step explanation:

go to your browser then search up
How to do proportional relationships in math 7th grade ?? Please explain ?!!

0.738×0.28 is 0.20664 but is rounded to 0.21. which rule or rules are applied to this calculation? select all that apply.

Answers

The rules of the calculation are:

Round the result to the same number of significant figures as the value with the least number of significant figuresRound up if the digit to be dropped is 5 or greater.

How to determine the rule?

The complete question is added as an attachment

The equation is given as:

0.738 × 0.28 = 0.20664

When approximated, we have:

0.738 × 0.28 ≈ 0.21

The above approximation can mean any of the following:

To 2 decimal placesTo the nearest hundredthTo 2 significant digits

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Determine the measure of each indicated angle.

Answers

The value of x is +2 and -2 and the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

∠ABC = 13x² ∠ACB = 12x² and ∠CAB = 20x²

The angles will be calculated as follows:-

13x² + 12x² + 20x² = 180

45x²  =  180

x²  =  4

x   =  ±2

The angles will be:-

∠ABC = 13x²  = 13 x ( 2² ) = 52

∠ACB = 12x²  = 12 ( 2² )    = 48

∠CAB = 20x²  = 20 ( 2² )  = 80

Therefore value of x is +2 and -2 the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

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Solve for X
2x+ 17
3x-4

Answers

Answer:

x = 21

Step-by-step explanation:

3x - 4 = 2x + 17 because of alternate angles

3x - 2x = 17 + 4

x = 21

Today an electronics store took
5% off the price of a computer,
and for the next two days, it will
take 5% off the previous day's
price. if the price of the
computer yesterday was
$2000.00, what will be the price
of the computer two days from
now?

Answers

Answer:

$ 1805

Step-by-step explanation:

2000 × 95%

= 1900

1900 × 95%

= 1805

Reflect shape A in the x-axis.
I have 20 min to complete this

Answers

Answer:

Step-by-step explanation:

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