Determine the domain D of the mapping f : x ---2x - 3, if C={-3, -1, 5} is the range and f is defined on D

Answers

Answer 1

The domain is ={-3, -1, 5} for the given function f(x) = 2x  -  3.

How to determine the domain and range?

The domain of the function is defined as the set of the numbers we are allowed to put in the function while the range is the assumed data put in the function.

Given function:-

f(x)  =  2x   -   3

The domain will be C={-3, -1, 5}

The range can be any random value which we can put in the function.

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Related Questions

What is the surface area?
10 mm
6 mm
4 mm
square millimeters

Answers

Answer:

square millimeters

Step-by-step explanation:

The surface area will always have answer in

square millimeters / meters / centimeters, etc.

pls help............​

Answers

Answer:

a is 3  and b is 10 i am pretty sure

Step-by-step explanation:

Which set of steps shows the solution to the equation 2y = −8? (5 points) Hint: Use inverse operations. What is the opposite of multiplication? a y = −8 − 2; y = 6 b y = −8 ÷ (−2); y = 4 c y = −8 ÷ 2; y = −4 d y = −8 − (−2); y = −6

Answers

Answer: c) y = -8/2

Step-by-Step Explanation:

This is because division is the inverse operation of multiplication. So 2 from the LHS will become divided by 2 on the RHS. Here’s the Solution :-

2y = -8
=> y = -8/2 = -4

y = -4 is the Solution of this Equation.

Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)? distance formula: startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot (x – 1)2 (y 2)2 = 25 (x 2)2 (y – 1)2 = 5 (x 2)2 (y – 1)2 = 25 (x – 1)2 (y 2)2 = 5

Answers

The equation of a circle that contains the point (–5, -3) and has a center at (-2, 1) is (x + 2)² + (y - 1)² = 25

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle contains the point (–5, -3) and has a center at (-2, 1), hence:

[tex]radius=\sqrt{(1-(-3))^2+(-2-(-5))^2}=5\ units[/tex]

The equation is:

(x - (-2))² + (y - 1)² = 5²

(x + 2)² + (y - 1)² = 25

The equation of a circle that contains the point (–5, -3) and has a center at (-2, 1) is (x + 2)² + (y - 1)² = 25

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If two triangles are congruent, which of the following statements must be
true? Check all that apply.
A. The corresponding sides of the triangles are congruent.
B. The corresponding angles of the triangles are congruent.
C. The triangles have the same size.
D. The triangles have the same shape.

Answers

Answer:

[A] The corresponding sides of the triangles are congruent.

[B] The corresponding angles of the triangles are congruent.

[C] The triangles have the same size.

[D]  The triangles have the same shape.

Step-by-step explanation:

SAS which it is stands for {side, angle, side} and the meaning of SAS is that we have two triangles where we see two sides and the included angle are equal.

In Order for two triangles to be congruent must have the following below:

Two figures are said to be congruent if they have same size and same shape.If two figure are congruent that means the corresponding sides will also be congruent.If two figure are congruent that means the the corresponding angles will also be congruent.

Hence, base on the given all the following are correct:

A. The corresponding sides of the triangles are congruent. √

B. The corresponding angles of the triangles are congruent. √

C. The triangles have the same size. √

D. The triangles have the same shape. √

Kavinsky

Answer:

A

Step-by-step explanation:

b/c the sides are corresponding and corresponding angles are always equal

What quadratic function has 13 and 2 as its zeros?
(write a quadratic function f whose zeros are 13 and 2.)
*please answer by today if available*

Answers

[tex]\text{The roots are 13 and 2.}\\\\\text{Now, the quadratic function,}\\\\~~~~~~~f(x) =x^2 -(13+2)x + (13)(2)\\\\\implies f(x)= x^2 -13x-2x + 26\\ \\\implies f(x) = x^2 -15x+26[/tex]

Now let's explore how to use Desmos to help solve questions like the following.

The movie theatre charged $6 for children tickets (x) and $9 for adult tickets (y). The total revenue for Friday night was $1500. How could you type this out as an equation?

Answers

6x+6y=1500 like this i think

Brad and tom are comparing their classes scores on a math test . both of their classes had mean scores of 80 on the test, but brad's class had a range of 6 while tom's class had a range of 30 . if the highest possible score was 100, which class had the lowest score in it

Answers

Answer:

Tom's class had the lower score

Step-by-step explanation:

Because the range is larger for Tom's class than it is for Brad's class, it is rather likely that students in Tom's class did not do as well on the test than students in Brad's class did.

Triangle DEF is similar to triangle GHI. Find the measure of side IG. Round your answer to the nearest tenth if necessary.

Answers

The measure of side IG from similar triangles DEF and GHI is 34.8 units.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Hence:

IG/GH = FD/DE

x / 19 = 11/6

x = 34.8

The measure of side IG from similar triangles DEF and GHI is 34.8 units.

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help me please it’s due

Answers

Answer:

13.82 in.

Step-by-step explanation:

To find the circumference of a circle, you multiply the diameter by pi ([tex]\pi[/tex]):

[tex](4.4)(\pi )=13.82301[/tex]

Rounded to the nearest tenth, 13.82301 is 13.82. Therefore, 13.82 is the answer.

I hope this helps!

Find the surface area of ALL FIVE shapes.

Answers

Answer:420000fdStep-by-step explanation:

Using the side lengths, determine whether the triangle is acute, obtuse, or right. 20 15 15 obtuse right acute

Answers

Answer:

acute

Step-by-step explanation:

it is an acute triangle

Find the area of each figure. If necessary use 3.14 for pi and round to the nearest hundredth

Answers

Answer:

23.88 cm squared

Step-by-step explanation:

3.6 x 5.9 = 21.24

1.1 x 4.8 x 1/2 = 2.64

21.24 + 2.64 = 23.88

Use an identity to find the value of

Answers

Answer:

-sin Ф

Step-by-step explanation:

sin( O + 180) = sinФ cos180 + sin180 cosФ

                     =  sin Ф * -1 + 0 * cos Ф

                     =   -sin Ф

sin(A+B)=sinAcosB+cosAsimB

So

sin(Ø+180)sinØcos180+cosØsin180-sinØ+0-sinØ

Please Hurry 70 Points
When given the diameter of a sphere, how can the volume be calculated? Describe the steps needed to find the volume.

Answers

Answer:

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre.

Step-by-step explanation:

Find the lcm, of x, 2x, 3x

Answers

Since x, 2x, 3x contain numbers and variables, it takes two steps to find the LCM. Find the LCM for the numerical part 1; 2; 3; then find the LCM for the variable part x¹ ; x¹; x¹.

The LCM is the smallest number by which all numbers are divided without leaving a remainder.

List the prime factors of each number.Multiply each factor the greatest number of times that occurs in any of the numbers.

The number 1 is not a prime number because it only has one positive factor, which is itself.

not cousin.

Since 2 has no divisors other than 1 and 2.

2 is a prime number.

Since 3 has no divisors other than 1 and 3.

3 is a prime number.

The least common multiple LCM of 1,2,3 is the result of multiplying all the prime factors the greatest number of times that appear in each term.

2 × 3

Multiply 2 by 3.

6

The factor for is x itself.

x¹ = x

The Least Common Multiple LCM of x¹ ; x¹; x¹ is the result of multiplying all the prime factors the greatest number of times that appear in each term.

x

The LCM for x;2x;3x is the numerical part 6 multiplied by the variable part.

6x ====> Answer

A spinner Is divided into elght equal sections. Each section is labeled with one number, from 1-8. Maggle spins the
pointer on the spinner five times, each at a different speed. Four of the times the pointer lands on the section labeled 7.
Which statement BEST explains these results?
The section labeled 7 is slightly bigger than the other sections
The bottom of the spinner is not flat.
The section labeled 7 appears more than once on the spinner.
The pointer of the spinner is not balanced.

Answers

Answer:

Step-by-step explanation:

The bottom of the spinner is not flat.

Which function has a range limited to only negative numbers?

Answers

The function that has a range limited to only negative numbers is Square Root.

Can one has the range of a function to be negative?

The function of this kind is known to be a kind of radical function that is said to have even index e.g. a square root.  and thus, this radicand  is one that can have a negative value for some or for the  values of x.

Note therefore, that The function that has a range limited to only negative numbers is Square Root and thus it is correct.

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Answer:

A or the first Graph

Step-by-step explanation:

My attachment proves this answer is true

Suppose you invest $500 at an annual interest rate
of 3.9% compounded continuously. how much will
you have in the account after 4 years?

Answers

Answer:

$584.41

Step-by-step explanation:

From this information, we can write the following equation:

[tex]P = 500(e)^{0.039t[/tex] where t is the number of years.

To find out the amount after 4 years, we can simply plug in 4 for t:

[tex]P = 500(e)^{0.039(4))\\[/tex]

≈ $584.41

Answer:

$584.41

Step-by-step explanation:

From this information, we can write the following equation:

where t is the number of years.

To find out the amount after 4 years, we can simply plug in 4 for t:

≈ $584.41

(Brainliest!)
Line WS is parallel to line KV. Line RT is perpendicular to line KV. Explain the relationship of line RT to line WS. Provide at least one reason to support your answer.

Please help fast! I'm being timed

Answers

Answer:

If [tex]\displaystyle\mathsf{\overline{WS}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{KV}}[/tex], and [tex]\displaystyle\mathsf{\overline{KV}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{RT}}[/tex], then  [tex]\displaystyle\mathsf{\overline{RT}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{WS}}[/tex]

Step-by-step explanation:

We are given the diagram of parallel lines, [tex]\displaystyle\mathsf{\overline{WS}}[/tex] and [tex]\displaystyle\mathsf{\overline{KV}}[/tex], which are intersected by line [tex]\displaystyle\mathsf{\overline{KV}}[/tex]. The prompt requires us to determine the relationship between [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{RS}}[/tex].

Definitions:

Parallel lines are non-intersecting lines that are coplanar and have the same slope.  

Perpendicular lines: the intersection between two lines that form right angles. Perpendicular lines also have negative reciprocal slopes.    

Transversal : a line that intersects at least two distinct coplanar lines in at least two or more definite points.  

Explanation:

We will use the given diagram and the following theorems/postulates to prove the relationship between lines [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{WS}}[/tex].

The Parallel Postulate states that given line [tex]\displaystyle\mathsf{\overline{WS}}[/tex] and a point that is [tex]\displaystyle\sf\doubleunderline{\underline{\underline{not}}}[/tex]  on line [tex]\displaystyle\mathsf{\overline{WS}}[/tex] , then there is exactly one line through that point that is parallel to line [tex]\displaystyle\mathsf{\overline{WS}}[/tex].  The Perpendicular Postulate states that given line [tex]\displaystyle\mathsf{\overline{KV}}[/tex] and point R that is not on line [tex]\displaystyle\mathsf{\overline{KV}}[/tex], then there is a definite line through point R that is perpendicular to line [tex]\displaystyle\mathsf{\overline{KV}}[/tex]. The Perpendicular Transversal Theorem states that given a transversal, [tex]\displaystyle\mathsf{\overline{RT}}[/tex], which is perpendicular to one of the parallel lines, [tex]\displaystyle\mathsf{\overline{WS}}[/tex], then it means that transversal [tex]\displaystyle\mathsf{\overline{RT}}[/tex] is also perpendicular to the other parallel line, [tex]\displaystyle\mathsf{\overline{KV}}[/tex].

Now that we have established the necessary postulates and theorem, we can state that:  

If  [tex]\displaystyle\mathsf{\overline{WS}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{KV}}[/tex], (Parallel Postulate) and  [tex]\displaystyle\mathsf{\overline{KV}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{RT}}[/tex], (Perpendicular Transversal Theorem ), then [tex]\displaystyle\mathsf{\overline{RT}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{WS}}[/tex] (Perpendicular Postulate). ________________________

Keywords:

Parallel Lines

Perpendicular lines

Perpendicular Transversal Theorem

____________________________

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sorry would not let me copy and paste i need the answer to number 7

Answers

Step-by-step explanation:

well, what do we expect in theory ?

a coin has a 50/50 chance for beads or tails. so, a probability of 1/2 for either one.

the probability for a survival number in a die is 1/6.

remember, the probability is always desired results over total possible results.

so, the combination is a simple multiplication.

the probability to get a certain side of the coin AND a certain number on the die is

1/2 × 1/6 = 1/12

so, this is what we would expect in theory : every combination happens in 1/12 of all cases.

now, what do we see in our practical experiment ?

there were 24 events (so, the total possible results are 24).

how many of them had heads and a 3 (the desired results) ?

there was only 1 result (in fact, there was only one 3 independently from the coin result, which is surprisingly low for 24 rolls of a die).

so, our experiment shows us a ratio or experimental probability of

1/24

for the desired result of heads with a 3 on the die.

we expected to get a ratio of

1/12 = 2/24

so, in reality, we got 1/24 less than theoretically expected.

The rectangular floor of a classroom is 26 feet in length and 24 feet in width. A scale drawing of the floor has a length of 13 inches. What is the area, in square inches, of the floor in the scale drawing?​

Answers

Step-by-step explanation:

The area of the floor of the scale drawing and the scale factor are 72 in² and 1/4 respectively

Actual Length = 36 feets

Actual width = 32 feets

Model width = 9 inches

The scale factor = 9 / 36 = 1/4

The length of the model canbe calculated thus :

Actual Length × scale factor

Model width = 32 × 1/4 = 8 inches

The Area of a rectangle can be calculated using the relation :

Area = Length × width

Area of floor = 8 inches × 9 inches = 72 inch²

Therefore, the area of the floor of the scale drawing is 72 in²

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The area of the rectangular floor in the scale drawing is A = 156 inches²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular floor in the scale drawing be A

Let the length of the rectangular floor be L = 26 feet

Now , the length of the rectangular floor in scale drawing = 13 inches = L/2

And , the width of the rectangular floor be W = 24 feet

So , the width of the rectangular floor in scale drawing = W/2 = 12 inches

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

The area of the rectangular floor in the scale drawing A = 13 x 12

The area of the rectangular floor in the scale drawing A = 156 inches²

Hence , the area of rectangle is 156 inches²

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Work out (5 x 10-3) + (2 x 10-1) Give your answer in standard form.​

Answers

Answer:

2.05 · 10^-1

Step-by-step explanation:

(5·10^-3)+(2·10^-1) = 2.05 × 10^-1

Determine whether FG is tangent to OE- Justify your answer.
® yes, using pythagorean theorem, both sides equal 144
can not be determined
O yes, using pythagorean theorem, both sides of the equation equal 136
O No, using the pythagorean theorem, both sides of the equation are not equal

Answers

Answer:

D

Step-by-step explanation:

Remark

The two legs when each of them is squared = 136 by

6^2 + 10^2 = 36 + 100 = 136

The hypotenuse is 12

12^2 = 144

The answer is that it is not a right angle triangle having 2 legs and a hypotenuse. That is because both sides are not equal.

I am unable to figure out how Tyler is incorrect

Answers

Answer:

see below

Step-by-step explanation:

6 -2x + 5 +4x

Combine like terms

6 +5  -2x+4x

The 6 and 5 do not have x  only the -2 and -4 have x with them

6+5  +x(4-2)

11 +2x

In the year 2017, an estimated 4,347,000 people in this country are illiterate.
With new incentives and funding, the country is hoping to cut that nuber by
14% every year. How manny people do you predict will be illiterate in the year
2025?

Answers

The number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.

What is percentage decrease?

Percentage decrease is the amount deducted or reduced from the initial value in the percentage part.

In the year 2017, an estimated 4,347,000 people in this country are illiterate. With new incentives and funding, The country is hoping to cut that number by 14% every year.

Total year from 2017 to 2025 are 8 years. Thus, use the following formula of compound interest to find percentage decrease:

[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]

Here, A is the final population, The initial population is P, the rate is r and the time period is t. Put the values,

[tex]A=4347000\times\left(1-\dfrac{14}{100}\right)^{8}\\A\approx1300700[/tex]

Thus, the number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.

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Solve for x to the nearest tenth!!!!

Answers

Answer:

√2685 is your answer

hope this will help you

Find c. Select the letter of the solution.

Answers

Answer:140

Step-by-step explanation:

Answer:

B) sqrt(50)

Step-by-step explanation:

c=sqrt((sqrt(10)^2+sqrt(40)^2)=sqrt(10+40)=sqrt(50)

Calculate 51 + ( 6 + 3 x 2 ) ÷ 3


………………………………………
b) Work out (29 – 8) ÷ 32

………………………………………
c) Write the missing number to it correct.
6 + 5 x ………….. – 16 = 20

Answers

Answer:

a) 55 b)=21/32 c)x=6

Step-by-step explanation:

a)Follow the PEMDAS order of operations

Calculate within parentheses

(6 +3 x 2)

(6+6)

= 12

=51+ 12 ÷ 3

Multiply and divide (left to right)

12÷ 3=4

51 +4

Add and subtract (left to right)

51 + 4=55

B)

Follow the PEMDAS order of operations

29 – 8) ÷ 32

Calculate within parentheses

(29 – 8) =21

= 21 ÷32

Multiply and divide (left to right)

21 ÷32

=21/1× 1/32

=21/32

C)let the unknown be X

6+ 5× X- 16 = 20

Group like terms

5x +6- 16 = 20

Add/Subtract the numbers:

6- 16 = -10

5x - 10= 20

Add 10 to both sides

5x- 10 + 10 =20 + 10

Simplify

5x=30

Divide both sides by 5

5x/5=30/5

x=6

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{51 + ( 6 + 3 \times 2 ) \div 3}\\\\\mathsf{= 51 + \dfrac{6+ 3\times2}{3}}\\\\\mathsf{= 51 + \dfrac{6 + 6}{3}}\\\\\mathsf{= 51 + \dfrac{12}{3}}\\\\\mathsf{= 51 + 4}\\\\\mathsf{= 55}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{55}}}\huge\checkmark[/tex]


[tex]\mathsf{(29 - 8) \div 32}\\\\\mathsf{= \dfrac{29 - 8}{32}}\\\\\mathsf{= \dfrac{29 - 8}{32 - 0}}\\\\\mathsf{= \dfrac{21}{32}}\\\\\mathsf{= 21\div 32}\\\\\mathsf{= 0.65625}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{0.65625}}}\huge\checkmark[/tex]

[tex]\mathsf{6 + 5 \times p - 16 = 20}\\\mathsf{\rightarrow 6 + 5p - 16 = 20}\\\mathsf{\rightarrow 5p - 10 = 20}\\\text{ADD 10 to BOTH SIDES}\\\mathsf{5p - 10 + 10 = 20 + 10}\\\text{SIMPLIFY IT!}\\\mathsf{5p = 20 + 10}\\\mathsf{5p = 30}\\\text{DIVIDE 5 to BOTH SIDES}\\\mathsf{\dfrac{5p}{5}= \dfrac{30}{5}}\\\text{SIMPLIFY IT!}\\\mathsf{p = \dfrac{30}{5}}\\\mathsf{p = 6}\\\\\huge\text{Therefore, the answer is: \boxed{{\mathsf{6}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Lets check to make sure \#3 is correct!}\\\mathsf{6 + 5\times \bold{6} - 16}\\\mathsf{= 6 + 30 - 16}\\\mathsf{= 36 - 16}\\\mathsf{= 20}\\\\\huge\textsf{Thus, the answer in the blank IS: \boxed{\mathsf{6}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Give the following number
in Base 10.
1025 = [?]10
Enter the number that belongs in the green box.

Answers

Answer:

  27

Step-by-step explanation:

Numbers can be converted to base 10 by writing them in expanded form.

__

102₅ = 1×5² +0×5 +2×1

  = 25 +2

  = 27₁₀

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