The functions f(x) = 2x and g(x) = 2-x+ 3 are combined using division to get function h(x).
Which represents the combined function?
Oh(x) = 22x + 3, x20
O h(x) = 22% -3, 20
Oh(x) = 22x + 3
X E all real numbers
Oh(x) = 22x – 3 x € all real numbers

Answers

Answer 1

Answer: the answer is not C

Step-by-step explanation:

Answer 2

The function that represents the combined function is h(x) = 2x/(2x + 3).

where x ∈ all real numbers.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 2x

g(x) = 2x + 3

Now,

h(x) = f(x) / g(x)

h(x) = 2x / (2x + 3)

Where x ∈ all real numbers

Thus,

The combined function is h(x) = 2x / (2x + 3)

Learn more about functions here:

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Related Questions

Which numbers are factors of 42? Check all that apply.
0 1
2.
O 3
4
06
8

Answers

Answer:

1, 2, 3, 6 are all factors of 42

5(2x+1)=3(x+4)-5. What is x

Answers

Answer:

x = 2/7

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

Multiply. Write your answer in the simplest form.
5 over 2 times 9 over 10

Answers

Answer:

5 over 2= 25

9 over 10= 387420489

Step-by-step explanation:

Reanna is making a scrapbook which holds 14 photos on each 2-page spread.

Answers

Tables are used to show the relationship between variables in a visual form. The equation of the situation is: [tex]y = 7x[/tex]

The complete table is as follows:

[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]

Given that:

[tex]2\ page = 14\ photos[/tex]

Let:

[tex]y \to pages[/tex]

[tex]x \to photos[/tex]

So, we have:

[tex]2y = 14x[/tex]

Divide by 2

[tex]y = 7x[/tex]

To fill the table, we simply multiply both sides by the same constant.

Multiply by 0.5

[tex]2\ page \times 0.5= 14\ photos \times 0.5[/tex]

[tex]1\ page = 7\ photos[/tex]

Multiply by 2

[tex]2\ page \times 2 = 14\ photos \times 2[/tex]

[tex]4\ page = 28\ photos[/tex]

Multiply by 3

[tex]2\ page \times 3 = 14\ photos \times 3[/tex]

[tex]6\ page = 42\ photos[/tex]

So, the table is as follows:

[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]

Read more about tables at:

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Evaluate.
-62
-62-0

(Answer quickly)

Answers

Answer:

36

Step-by-step explanation:

When negative gets squared, it becomes positive

Answer:

36

Step-by-step explanation:

36 is the square of -6

have a nice day

This is a 100 point question. Please get it right. The image below is the question. Please completely show your work and get it correct.

Answers

hi <3

multiply the coefficient of x^2 with the last value:

2 x 3 = 6

you need to find a value that multiplies to give 6 and adds to give 5

this would be 3 and 2

now you have:

(x + 3)(x + 2)

we need to incorporate the 2 into it

you can divide the 2 by 2 so that part is fine. however, as 3 cant be divided by 2, you have to carry the 2 up as a coefficient for x

your final answer works out to be:

(2x + 3)(x + 1)

hope this helps :)

Please help me and show the steps!!

Answers

Answer:

=397

Step-by-step explanation:

7 - 6 × {3-7}^3 +6

Solve the brackets first

7 - 6 × {-4} ^3 +6

7 - 6 × {-64}+6

7 +384 +6

=397

Answer:

397

Step-by-step explanation:

Solve the bracket

7-6×{-4}^3 +6

-6× {-64) + 6+7

384 + 13

397 is the final answer

Only answer number 4 and 3 on page 2. Answer fast

Answers

#4

Option d is correct the co-ordinates will be inversed in mirror

#5

Refer to 2nd attachment

helpppppppppppppppppppppppppppppppppp me!

Answers

the answer is 44 sorry I am running late but hope this helps

40 Points please help

Answers

Answer:

Slope = ⅓ Y-intercept = -2

Step-by-step explanation:

by transforming the equation to y= ⅓x -2

then it becomes Y= ⅓x +(-2)

then you should get m= ⅓ and b = -2

Step-by-step explanation:

(a)

y = mx + b

y = (1/3)x + (-2)

y = 1/3x - 2

(b)

x - 3y = 6

x - 3(0) = 6

x - 0 = 6

x = 6

who ever gets it correctly gets 100 points

Answers

1/10 × 2000

1×2000/10

2000/10

200

plz help me with this

Answers

Answer:

FH - 24

Step-by-step explanation:

We can subtract both lengths to find FH.

37 - 13 = 24

Best of Luck!

The entire length of FG is 37 units.
The right segment, HG, is 13 units.

The left segment is the difference between the two, the remaining portion once you take 13 away from 37.

37 - 13 = 24

can someone pls help me
im timed :(

Answers

Answer:

-10+6w+14v hope this is right if not sorry

Answer:

A. -14w + 14v

Step-by-step explanation:

Note that the formula for the perimeter of a rectangle is 2W + WL = P. We can substitute those variables with the equations we are given and simplify.

2(5v - 10w) + 2(2v + 3w)

~Use distributive property rules to simplify

10v - 20w + 4v + 6w

~Combine like terms

14v - 14w or -14w + 14v

Best of Luck!

A box of cards contains 7 thank you cards, 4 birthday cards, 3 blank cards and 2 get well
cards. What is the ratio of birthday cards to thank you cards?

Answers

Answer:

Hii!

Birthday cards = 4

Thankyou cards = 7

So The answer might be

4 : 7

please help me thank you so much

Answers

9514 1404 393

Answer:

  3 drops of yellow

Step-by-step explanation:

The proportional relationship is ...

  yellow/red = 8/24 = ??/9

Multiplying by 9, we get ...

  ?? = 9(1/3) = 3

3 drops of yellow are required when 9 drops of red are used.

Demichael orders a set of numbers on his
homework. In descending order, the first
number is 5 1/2 and the last number is 5 1/3
Which of the following numbers is NOT in
Demichael's list?

A V25
B 5.45
C 5 12 름
D 5.34

Answers

The numbers are ordered, such that the first number (the largest one) is:

(5 + 1/2)

And the last number (the smaller one) is (5 + 1/3). Only by knowing this, we will see that the correct options are A and C.

We want to see which of the following numbers is not on the list:

A) √25

B) 5.45

C) 5 12  

D) 5.34

One of these numbers can only be in the list if it is larger than  (5 + 1/3) and smaller than (5 + 1/2).

To see this easier, let´s rewrite both of these:

5 + 1/2 = 5 + 0.5 = 5.5

5 + 1/3 = 5 + 0.33 = 5.33

Then if a number is smaller than 5.33, the number can't be in the list.

Here we can see two numbers that are smaller than 5.33

These are:

Option A) √25 = 5 < 5.33

Option C) 5.12 < 5.33

And there is no number larger than 5.5

Concluding, the numbers that are not in Demichael's list are:

√25 and 5.12

If you want to learn more, you can read:

https://brainly.com/question/7487419

40 POINTS please help

Answers

Answer:

(0,-3)

(8,0)

Step-by-step explanation:

Putting x = 0

[tex]3(0) - 8y = 24[/tex]

[tex] - 8y = 24[/tex]

[tex]y = \dfrac{ - 24}{8} [/tex]

[tex]y = - 3[/tex]

x - intercept = (0.-3)

Putting y = 0

[tex]3x - 8(0) = 24[/tex]

[tex]3x = 24[/tex]

[tex]x = \dfrac{24}{3} [/tex]

[tex]x = 8[/tex]

y - intercept = (8,0)

Answer:

x-intercept is 8

y-intercept is -3

Step-by-step explanation:

We can put the equation into slope intercept form to find the y-intercept.

3x - 8y = 24

~Subtract 3x to both sides

-8y = 24 - 3x

~Divide -8 to everything

y = -3 + 3/8x

~Reorder

y = 3/8x - 3

In slope intercept form we know that m = slope and b = y-intercept in the formula [ y = mx + b ] so we know that the y-intercept will be -3. To find the x intercept we can substitute 0 for y and solve for x.

0 = 3/8x - 3

3 = 3/8x

x = 8

Best of Luck!

Evaluate expression
a) -19 + 3(-13 + 4*3)

b) | -7(2) |

c) 15 – 3 | - 4-2 |

Answers

Answer:

well i know the first one

-19+3(-13+4*3)

= -19+3(-13+12)

= -19+3(-1)

= -19-3

= -22

If a=5,b=-4 and c=-3,what is the value of 2a-6b+3c?

_____

Answers

We are given that:

a = 5b = -4c = -3

Given the expression:

[tex] \displaystyle \large{2a - 6b + 3c}[/tex]

Evaluate the expression by substituing the given values in.

[tex] \displaystyle \large{2(5)- 6( - 4)+ 3( - 3)} \\ \displaystyle \large{10- ( - 24)+ ( - 9)}[/tex]

Simplify the expression.

Negative × Negative = PositiveNegative × Positive = Negative

[tex] \displaystyle \large{10 + 24 - 9} \\ \displaystyle \large{34- 9} \\ \displaystyle \large \boxed {25}[/tex]

Therefore, the value of the expression is 25.

What's the answer for X - 7 < 6

Answers

Question:

What's the answer for X - 7 < 6?

Solution:

Solve the inequality.

x - 7 < 6x < 6 + 7x < 13

Answer:The answer is x < 13

Use a TABLE to solve ( x + 3) ( x + 2). QUICK PLEASE!

Answers

Answer:

My answer is: x square + 5x +6

Step-by-step explanation:

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

[tex]\huge\boxed{\mathsf{(x + 3)(x + 2)}}\\\huge\boxed{\mathsf{\rightarrow x(x) + 2(x) + 3(x) + 3(2)}}}\\\huge\boxed{\rightarrow{\mathsf{x^2 + 2x + 3x +6}}}\\\huge\boxed{\boxed{\text{COMBINE the LIKE TERMS}}}\\\huge\boxed{\mathsf{\rightarrow x^2 + \bold{2x + 3x} + 6}}\\\huge\boxed{\mathsf{\rightarrow{x^2 + \bold{5x} + 6}}}\\\\\huge\boxed{\mathsf{Therefore, your\ answer\ is: x^2 + 5x + 6}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

please help me, if you help then thanks!

Answers

Answer:

x = 5

Step-by-step explanation:

[tex] {x}^{3} = 125[/tex]

[tex] {x}^{3} = {5}^{3} [/tex]

[tex] x = 5[/tex]

Is 68 prime or composite

Answers

Composite because there are numbers other than 1 and 68 that you can multiply to get 68

Answer:

composite

Step-by-step explanation:

the number 68 is an even number, which means it is divisible by 2.

What is the LCD for the problem below.


5/8−1/7

Answers

Answer:

The lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It is the smallest positive integer that is a multiple of each denominator in the set. Fractions write with fraction bar / like 3/4 .

I WILL GIVE BRAINLIEST AND 100 POINTS!! NEED NUMBER 11 (ignore all writing

Answers

-2-(-12) the total is 10
p²/m-(np+r)(-8)²/-32 -(-16+4)64/-32-(-12)-2+1210

If U.S. $1 = 7.82 Hong Kong dollars, what is the value of 25 Hong Kong dollars in U.S. dollars?

Answers

Answer:

3.25

Step-by-step explanation:

1 hong kong dollar = 0.13 cents in us dollars

0.13x25=3.25

The value of 25 Hong Kong dollars in U.S dollar is $3.1969

Given that :

$1 = 7.82 Hong Kong dollars

Let the equivalent Number of U.S dollars = p

This means that :

$1 = 7.82 Hong Kong dollars

$1 = 7.82 Hong Kong dollars $p = 25

Cross multiply :

25 × 1 = 7.82 × p

25 = 7.82p

Divide both sides by 7.82

25 / 7.82 = p

p = $3.1969

Hence, 25 Hong Kong dollars is 3.1969 U.S dollars.

Learn more : https://brainly.com/question/18109354

What is the LCM of 42 and 63?

Please show work! I'm very confused and don't understand.

Answers

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

[tex]\huge\boxed{\rm{LCM\ (aka\ Lowest\ Common\ Multiple)\ is\ the}}\\\huge\boxed{\rm{lowest\ positive \ number\ has \ a \ multiple}}}\\\huge\boxed{\rm{of\ more\ than\ one\ number.}}[/tex]

[tex]\huge\boxed{\rm{The\ multiples\ of\ 42\ are: 42, 84, 126, 168, \& \ 210}}[/tex][tex]\huge\boxed{\rm{The \ multiples \ of \ 63\ are: 63, 126, 189, \& \ 252}}[/tex]

[tex]\huge\boxed{\rm{Therefore, your\ answer\ is: 126}}}[/tex]

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

~[tex]\huge\text{Amphitrite1040:)}[/tex]

The inverse of the function g(x)=x−65 can be written in the form g−1(x)=ax+b. What is the value of a?

Answers

9514 1404 393

Answer:

  a = 1

Step-by-step explanation:

The slope of the inverse of a linear function is the inverse of the slope of the original function.

The slope of g(x) is the coefficient of x: 1.

The inverse of 1 is 1/1 = 1.

The slope of the function g^-1(x) is 1, so a=1.

_____

Additional comment

  g^-1(x) = x +65 . . . . . a=1; b=65

four cities lie along a straight highway in this order city a, city, city c, city d. The distance from city a to city b is 5 times the distance from city b to city c. The distance from city a to city d is 2 times the distance from city a to city d. the distance between city d and city c is 10 miles. What are the distances between the cities?

Answers

Dividing the segments and finding the lengths, it is found that the distance between the two cities is of 130 miles.

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

We want to find the distance between cities a and d.Due to the cities along the highway, the distance is given by:

[tex]ad = ab + bc + cd[/tex]

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

The distance from city a to city b is 5 times the distance from city b to city c, and thus:

[tex]ab = 5bc[/tex]

In terms of x, [tex]bc = x, ab = 5x[/tex]

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

The distance from city b to city c is 2 times the distance from city c to city d, and thus:

[tex]bc = 2cd[/tex]

In terms of x, [tex]cd = \frac{x}{2}[/tex]

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

The distance between city d and city c is 10 miles, thus:

[tex]\frac{x}{2} = 10[/tex]

[tex]x = 20[/tex]

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

The other distances are:

[tex]bc = x = 20[/tex]

[tex]ab = 5x = 5(20) = 100[/tex]

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

The distance between cities a and d is:

[tex]ad = ab + bc + cd = 100 + 20 + 10 = 130[/tex]

The distance between the two cities is of 130 miles.

A similar problem is given at https://brainly.com/question/24352869

Job A: $8.95 per hour (40 hours a week)​​Job B: $16,400 per year
​a. Which job pays more?
​b. How much more?

Answers

Answer:

 Job A pays pays better

Step-by-step explanation:

Job A pays more ($18,616) by $2,216 more

there are roughly 52 weeks in a year so multiply that by 40 to get the total hours worked in a year. = 2,080

2,080 hours worked per year multiplied by the hourly pay $8.95 = $18,616

Job A pays $18,616

Job B only pays $16,400

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