What are the domain, range, and asymptote of h(x) = (1.4)x + 5?

domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5
domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5
domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5

Answers

Answer 1

Answer:

The answer is

A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5

Step-by-step explanation:

For every real x, (1.4)x is always positive, therefore the range would be y > 0, but (1.4)x + 5 adds 5 to every integer in the original range. This suggests that the real range is y | y > 5, or all positive values bigger than 5.

This is the sole choice for the range that A has, therefore, it should. (The other two characteristics hold true, as can be any real integer and lim h(x) = 5 x, implying that y = 5 is a horizontal asymptote of h(x).)

Therefore, A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5 is your answer.

Hope this helped! :^)

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Submitted on 4/20/2022 at 1:37 PM

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Answer 2

Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5. Option A is correct.

The given function is [tex]h(x)=1.4^x+5[/tex].

The domain of a function is the set of all valid inputs (x-values) for which the function is defined.

In this case, there are no restrictions on the base (1.4) raised to any real exponent, and thus, the domain includes all real numbers.

Therefore, Domain: {x | x is a real number}

The range of a function is the set of all possible output (y-values) that the function can produce.

In this case, the base (1.4) raised to any real exponent will always be positive, and when you add 5 to a positive number, you get values greater than 5.

Hence, the range consists of all real numbers greater than 5.

Therefore, Range: {y | y > 5}.

An asymptote is a line that a function approaches but never crosses.

For this exponential function, there are no vertical asymptotes since it is defined for all real numbers.

However, there is a horizontal asymptote. As the value of x approaches negative or positive infinity, the function h(x) will approach 5.

Therefore, Asymptote is y = 5.

Hence, option A is correct, domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5.

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Related Questions

Find y.
B
C
Зу
A
8 D
м
2
4
15
10

Answers

Answer:

y=4

Step-by-step explanation:

The question is asking what is the value of y:

Since all lengths have a dash on them they are all equal :

So 3y = y+8

3y = y + 8

First we subtract y from both sides:

3y-y = y+8-y

2y = 8

Divide both sides by 2:

2y÷2 = 8÷2

y = 4

What is the volume of the water in the tank?

Answers

Answer:

1008 in^3

Step-by-step explanation:

V= l*w*h

12.8*10.5*15=2016 in^3

The tank is half full

2016/2= 1008

1008 in^3

A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?

Answers

Answer:

6x=46.50

Step-by-step explanation:

Find the value if x. PLS HELP ASAP

Answers

Answer: 90°

Step-by-step explanation:

(x°+90°)=180°(being the sum of angles of the triangle)

or, x°= 180°-90°

or x°= 90°

Tony bought a printer on sale for 45. The original price was 60 . What is the percent decrease of the price of the load ?

Answers

Answer:

25%

Step-by-step explanation:

STEP 1:

Find the difference between the two values

e.g  60-45=15

STEP 2

Divide the difference by the original value

e.g  15/60=1/4

STEP 3

Convert 1/4 into a percentage

e.g  1/4=0.25=25%

A line passes through the point (-9, -3) and has a slope of 2.
Write an equation in slope-intercept form for this line.

Answers

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -9      y_1= -3  

     m= 2 (the slope)

an equation in the point-slope form is : y +3 = 2(x+9)

means : y+3 =2x +18

an equation in slope-intercept id : y=2x+15

WILL GIVE BRAINLIEST

What causes wind?

Question 3 options:

There is an increase in temperature and an increase in density.


An area of high pressure pushes toward an area of low pressure.


An area of low pressure pushes toward an area of high pressure.

Answers

An area of high pressure pushes toward an area of low pressure causing wind

    I attached a diagram that can hopefully help you visualize the situation

Hope that helps!

Expand & simplify
4
(
x
+
5
)
+
5
(
x

5
)

Answers

4(x+5) + 5(x-5)

The first step is to distribute (PEMDAS --> parenthesis)

4x + 20 + 5x - 25      Now combine like terms

9x - 5

Thus, the answer is 9x-5

You received an $40,000 bonus, which was 18% of your salary. What is the percentage of your salary is this bonus?

Answers

Answer:

salary: $40,000÷18% = $ 222. 222 22

222 222 22÷40,000×100%

= 555.56%

a listing for a home for sale is shown as follows: “3/2/1 house for sale. price 140000” what does “3/2/1” mean

Answers

Answer:

A

Step-by-step explanation:

Usually when purchasing a house you refer to the bedroom then the bathroom then potentially your garden width/height or you garage

What is the correct answer?​

Answers

Answer:

B

Step-by-step explanation:

When multiplying exponents with the same base, you add the powers together.

In B, that is exactly what they are showing when they do:

[tex]2^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}[/tex]

A triangular prism is 15 yards long and has a triangular face with a base of 12.9 yards and a height of 10.3 yards. what is the volume of the triangular prism?

Answers

Answer:

Step-by-step explanation:

Area of the base = 1/2 * B * h

B: 12.9

h = 10.3

Area of the face = 1/2 * 12.9 * 10.3

Area of the face = 66.435

Volume = Triangle * height

Triangle = 66.435  yd^2

Height = 15 yd

Volume = 66.435 * 15

volume = 996.525

I think this should be rounded to one decimal place: 996.5

What is the radius of the sphere? Use 3.14 for 7 and round your answer to the nearest
tenth.
O 4.7 m
O 3.4 m
O 6.2 m
O 2.8 m

Answers

Answer:

its 3.4 m

Step-by-step explanation:

i had the same test

Answer:

2.8

Step-by-step explanation:

r=(3V4π)⅓=

(3·91.94·π)⅓≈2.79947

I tried other answer, got it wrong, this one is right.

Which algebraic expression is equivalent to this expression?
9(3x - 12) + 9x

A.
36x - 12
B.
18x + 108
C.
36x - 108
D.
18x - 108

Answers

hello!

Use the Distributive Property, which states the following:-

[tex]\bigstar{\bf{a(b+c)=ab+ac}[/tex]

where

we distribute a by multiplying it times b and c

In this case, we should distribute 9:-

9(3x-12)+9x

27x-108+9x

Combine Like Terms:-

[tex]\longrightarrow\sf{36x-108}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

C. 36x + 108

Step-by-step explanation:

Our expression :

9(3x - 12) + 9x

Expanding :

#1) Open the bracket applying the distributive property.

9(3x - 12) + 9x9(3x) - 9(12) + 9x27x - 108 + 9x

#2) Combine like terms.

27x + 9x - 10836x + 108The option with this answer is C.

You are calculating how many seats there are at Wrigley
Field in Chicago, Illinois. You count that there are 1,487 rows
Each row has 28 seats.
How many seats are there in the whole field?

Answers

Answer:

41,636

Step-by-step explanation:

Easy, on each row, there are 28 seats, and we know there's 1487 rows in total.

Hence, number of rows multiplied by number of seats counted

   1487 × 28

   =41,636

(Dang, that's alot of seats then)

   

(Can somebody please help me!) (NO links!)
What do I put!

Answers

Answer:

x = 16angle = 48°

Step-by-step explanation:

The marked angles have a sum of 90°. This lets you find the unknown angle and the value of x.

  42° +3x° = 90°

  3x° = 48° . . . . . . . . . subtract 42°. This is the value of the unknown angle

  x = 16 . . . . . . divide by 3°

__

The value of x is 16.

The measure of the missing angle is 48.

Calculate the perimeter of the figure shown below.
5 ft
15 ft
10 ft
18 ft

Answers

Answer:

its c

Step-by-step explanation:

think about it for a second

Helppp

For triangle ABC below, find missing side length BC and both missing angle measures

Answers

Answer:

3

Step-by-step explanation:

use the pythagoreum therory

If you’re supposed to be using Pythagorean theorem, a^2+b^2=c^2, then you square the 10 and the 7, getting 100 and 49. Subtracting the 49 from the 100 gives you b^2. 100-49=51. Then you take the square root of 51, which is about 7.1 Are you supposed to be rounding to the nearest whole number? If you did, that would make the missing side 7, and both of your missing angles 45.

here is a graph of x from 0 to 2 By drawing a second graph on the grid, work out an approximate solution to the simultaneous equation 3x-y=2 and 2x+y=4

Answers

Answer:

(1.2, 1.6)

Step-by-step explanation:

Rewrite both equations to make y the subject:

Equation 1:  3x - y = 2

⇒ 3x = 2 + y

y = 3x - 2

This line has a positive slope.

Equation 2:  2x + y = 4

y = -2x + 4

This line has a negative slope.

Therefore, the graph that has been plotted is y = 3x - 2

Plotting second graph

Equation of the line:  y = -2x + 4

Input x = 0 into the equation and solve to find the y-intercept:

⇒ y = -2(0) + 4 = 4

Therefore, the y-intercept is (0, 4)

Input y = 0 into the equation and solve to find the x-intercept:

⇒ 0 = -2x + 4

⇒ 2x = 4

⇒ x = 2

Therefore, the x-intercept is (2, 0)

Plot the two points (0, 4) and (2, 0), and draw a straight line that passes through them.

The solution to the system is the point of intersection of the two lines.  From inspection of the graph, this is (1.2, 1.6)

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

Solving algebraically

Equation 1:  3x - y = 2

Equation 2:  2x + y = 4

Sum the equations to eliminate y:

[tex]\begin{aligned}& 3x - y & = 2\\ +\quad& 2x + y & = 4\\ \cline{1-3}& 5x & = 6\end{aligned}[/tex]

Solve for x:

[tex]\implies x=\dfrac65=1.2[/tex]

Substitute found value of x into one of the equations and solve for y:

[tex]\implies y = 3\left(1.2) - 2=1.6[/tex]

So the solution (point of intersection) of the system of equations is:
(1.2, 1.6)

Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length of the trip was 300 miles, what percentage of the total trip had they traveled when Tallulah fell asleep?

Answers

When Tallulah fell asleep, the family had already traveled 57% of the total trip.

A percentage is a way of expressing a number as a fraction of 100. It is often used to describe proportions, ratios, or rates. For example, if 20 out of 100 people in a room are wearing red shirts, we can say that 20% of the people are wearing red shirts.

If Tallulah slept for the last 129 miles of the trip, it means that the family had already traveled 300 - 129 = 171 miles before she fell asleep.

To calculate the percentage of the total trip that they had traveled when Tallulah fell asleep, we can use the following formula:

Percentage = (Part ÷ Whole) x 100

Where "Part" is the number of miles the family had traveled before Tallulah fell asleep (171 miles) and "Whole" is the total length of the trip (300 miles).

Percentage = (171 ÷ 300) x 100

Percentage = 0.57 x 100

Percentage = 57%

Therefore, when Tallulah fell asleep, the family had already traveled 57% of the total trip.

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17. Which of the following transformations does NOT preserve congruence?

(x,y) - (y + 2,-x-1)

(x,y) - (x-3, y-2)

(x,y) -- (0.5x + 1,0.5y-2)

(x,y) - (-y-3,x+5)

Answers

(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.

what is transformation ?

An item in one space is mapped to another using a function known as a transformation in mathematics. A geometric shape or other mathematical object is altered by this method by shifting its location, direction, or size. Geometric qualities including symmetry, congruence, and resemblance are studied using transformations. Objects are frequently transformed through translations (moving), rotations (turning), reflections (flipping), and dilations (resizing an object). In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.

given

(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.

In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.

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The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain? A. {2, 4} B. {-2, -4} C. {12, 14} D. {-12, -14} E. {0, 5}

Answers

Answer:

The answer is A. {2,4}

Step-by-step explanation:

I took the test on edmentum. 100%

Maria wrote the equation log (startfraction x over 2 endfraction) log (startfraction 20 over x squared endfraction) = log 8 what is the solution to maria’s equation?

Answers

The solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] by using the properties of the logarithm is 5/4.

What is a logarithm?

A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.

It is given that

[tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex]

Using properties of a logarithm, we get

[tex]\rm log x + log y=logxy[/tex]

[tex]\rm log[\frac{x}{2} \times\frac{20}{x^{2} }] = log8\\\rm log[\frac{10}{x}] = log8[/tex]

on comparing

10/x = 8

x = 10/8

x = 5/4

Hence, the solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] is 5/4.

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Answer:

C

Step-by-step explanation:

C) 5/4

I need 16,18, and 20 answered thank you

Answers

16:

4b(5b-3)-2(b²-7b-4)

= 20b²-12b-2b²+14b+8

=18b²+2b+8

18:

3m(3m+6)-3(m²+4m+1)

= 9m²+18m-3m²-12m-3

=6m²+6m-3

20:

4x(3x+2)-3x×2x

=12x²+8x-6x²

=6x²+8x

I NEED HELP!!!

Find the value of A,B,C,D,E,F,G,H

Answers

Answer:

A = 33

B = 38

C = 5

D = 18

E = 30

F = 79

G = 56

H = 170

Step-by-step explanation:

See attached image.

PLS HELP OFFERING BRAINLIEST+20 POINTS! I RLLLLLLLLLYYYYYYY NEED HELP!

Answers

Answer:

c and d

Step-by-step explanation:

hope it helps bud

Which expression has a value of -22?
−5 × 2 − 12

8 − (−3) +33 ÷ (−3)

−3 + (−2) − (−8) −1

−6 × 2 − (−15)

Answers

Answer:

(-5)*2 - 12

Step-by-step explanation:

First multiply (-5) and 2. Then (-10) and (-12) have same signs ie. neagtive .

If two integers have same sign, add and the result will have the sign of the both integers.

(-5)*2 - 12 = -10 - 12

                = -22

Three metallic tanks have the capacities of 447 litres, 577 litresand 669 litres. Find the capacity of the largest container that can fill the tanks an exact number of times, leaving a remainder of 7 litres, 5 litres and 9 litres respectively. (3 marks)​

Answers

Answer:

44 litres

Step-by-step explanation:

We subtract the remainders from the amounts.

447 - 7 = 440

577 - 5 = 572

669 - 9 = 660

Now we need the GCF of 440, 572, 660

440 = 2³ × 5 × 11

572 = 2² × 11 × 13

660 = 2² × 3 × 5 × 11

GCF = 2² × 11 = 44

The greatest common factor is 44.

Answer: 44

Check:

447/44 = 10 reminder 7

577/44 = 13 remainder 5

669/44 = 15 remainder 9

A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30 please select the best answer from the choices provided a b c d

Answers

Answer:

  c.  $77.00

Step-by-step explanation:

The CPI is 100 times the ratio of prices relative to those in some reference period. Here, we assume the reference year is 1983, so a CPI of 186 means the current prices are 1.86 times those in 1983.

  1.86 × $41.40 = $77.00

The helment price will be $77.00 when the CPI is 186.

Answer:

C. $77.00

Step-by-step explanation:

Edge23

How does your Web browser get a file from the Internet? Your computer sends a request
for the file to a Web server, and the Web server sends back a response. For one
particular Web server, the time X (in seconds) after the start of an hour at which a
randomly selected request is received has the uniform distribution shown in the figure. in

Answers

The probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour is 0.0833 or 8.33%.

How does your Web browser get a file from the Internet?

Your computer sends a request for the file to a Web server, and the Web server sends back a response.

For one particular Web server, the time X (in seconds) after the start of an hour at which a randomly selected request is received has the uniform distribution shown in the figure.

The probability of finding value less than the X is,

[tex]P(X < x)=\dfrac{x-a}{b-a}[/tex]

Here, a and b are two bonds of uniform distribution.

The probability distribution of X can be modeled by a uniform density curve on the interval from 0 to 3600 seconds, as shown in the given figure.

The probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour has to be found out. Thus,

[tex]P(X < x)=\dfrac{300-0}{3600-0}\\P(X < x)=0.0833\\P(X < x)=8.33\%[/tex]

Thus, the probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour is 0.0833 or 8.33%.

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