Which is the graph of g(x) = 2x – 1 + 3? On a coordinate plane, an exponential function has a horizontal asymptote at y = 3 and crosses the y-axis at (0, 4). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 3 and crosses the y-axis at (0, negative 2) On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, 7). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, negative 1).

Answers

Answer 1

The graph of g(x) is an exponential function that crosses the y-axis at y = 3.5, and a horizontal asymptote at y = 3.5

The function is given as:

[tex]g(x) = 2^{x - 1} + 3[/tex]

Set x = 0, to calculate the y-intercept

[tex]g(0) = 2^{0-1} + 3[/tex]

Simplify the exponent

[tex]g(0) = 2^{-1} + 3[/tex]

Express 2^-1 as decimal

[tex]g(0) =0.5 + 3[/tex]

Add 0.5 and 3

[tex]g(0) =3.5[/tex]

This means that the graph of g(x) is an exponential function that crosses the y-axis at y = 3.5

Also, the graph of g(x) has a horizontal asymptote at y = 3.5

Read more about exponential graphs at:

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Answer 2

Answer:

3 graph

Step-by-step explanation:


Related Questions

The area of the rectangle is 20 square inches. The rectangle is enlarged by a factor of 6.


What is the area of the enlarged rectangle?

120 in.²

720 in.²

2,400 in.²

14,400 in.²

Answers

Answer:

B

Step-by-step explanation:

Here, we are told that the rectangle is enlarged by a factor of 6, we now want to calculate the new area of the said rectangle.

Now, for the rectangle to have an area of 20, mathematically the area of a triangle can be calculated using the formula L * B

where L is the length and B is the breadth

our product here is 20, so any product that gives 20 would be a good fit as the value of the width and length of the rectangle

So, let’s say the sides measure 5 inches by 4 inches

Enlarging these by a factor of 6, we have 30 inches by 24 inches

The new area of the rectangle would thus be ;

30 inches * 24 inches = 720 inches^2

Answer:

b

Step-by-step explanation:

Select all of the following statements that are true.
All real numbers are natural numbers.
All whole numbers are integers.
All integers are whole numbers.
All natural numbers are rational numbers.
All irrational numbers are dense.
DONE

Answers

Answer:

All whole numbers are integer

All natural numbers are rational numbers

Step-by-step explanation:

Answer:

2, 4, 5

Step-by-step explanation:

edge 2021 :)

Harpreet took out a payday loan of $500.00. He had to repay $540.00 within 7 days.

A) What was the daily interest on the loan

B) What was the annual interest?

Answers

Answer:

a) 1,14%

b) 317%

Step-by-step explanation

J = C . i . t

540 - 500 = 500 . i . 7

40 = 500 . 7 . i

i = 0,0114 = 1,14% within day

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

J = 500 . 0,0114 . 365 = 2085,71

2085,71 - 500 = 500 . i . 1

1585,71 = 500 . i

i = 3,17 = 317% annual

What is the value of p ?

Answers

Answer:

B.

Step-by-step explanation:

First find the other two angles in the triangle using supplementary angles.

They are 90° and 55°

Now just subtract them from 180

180 - 90 - 55 = 35°

Check the consistency of 2x-3y=7 and x-2y+1=0

Answers

Answer:

x = 17, y = 9

or as an ordered pair, (17, 9).

The equations are consistent.

Step-by-step explanation:

2x - 3y = 7

x - 2y  = -1        Multiply this equation by -2:

-2x + 4y = 2     Add this to the first equation:

y = 9.

Plug y = 9 into the second equation:

x - 2*9 = -1

x = -1 + 18 = 17.

Find the surface area of the cylinder. Round to the nearest tenths.

Answers

Answer:

The surface area of the cylinder is 251.2cm²

Step-by-step explanation:

To solve this problem we have to calculate the circle area and the lateral area

radius = half of diameter

r = 10/2 = 5cm

To calculate the area of ​​the circle we use the following formula

a = area

r = radius = 5cm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (5cm)²

a = 3.14 * 25cm²

a = 78.5cm²

The area of the circle is 78.5cm²

To calculate the lateral area of ​​the cylinder we use the following formula

a = area  =

h = heighti = 3cm

r = radius = 5cm

π = 3.14

a = 2 * π * r * h

we replace with the known values

a = 2 * 3.14 * 5cm * 3cm

a = 6.28 * 15cm²

a = 94.2cm²

The lateral area of ​​the cylinder is 94.2cm²

Now we add the lateral area of ​​the cylinder with 2 times the area of ​​the circle and obtain the area of ​​the cylinder

94.2cm²  + (2 * 78.5cm²) = 251.2cm²

The surface area of the cylinder is 251.2cm²

What is the sum? 8 + (negative 12)

Answers

Answer:

your answer is -4!

Step-by-step explanation:

plz mark me brainliest

Answer: -4

Explanation: there are two unlike signs, so this equations turns into a subtraction equation. Subtract the smaller number from the bigger number (12-8) and your answer will be 4. Finally keep the sign of the larger number, which is a negative sign, and your final answer will be -4.

Please mark as brainliest!

Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

first box: -14[tex](x+7)^2-49=0\\(x+7)^2=49\\(x+7)=\sqrt{49} \\(x+7)=+/-7\\x=-7+/-7\\x=-7+7\,\,and\,\,-7-7\\x=0\,\,and\,\,-14[/tex]

second box: zero

Step-by-step explanation:

please help me!!!! (i only need question 1)

Answers

Answer:

28

Step-by-step explanation:

So I just figured out by counting. The top has 8, which means the bottom also has 8. The sides are 3, 2, 1, 1, 2, 3

The total is 8 + 8 + 3 + 2 + 1 + 1 + 2 + 3 =  28

8 square units , For surface units wouldn’t you just count all the boxes on the top

Which inverse operations could you use to solve the equation m5−8=−6? Select all that apply.
A
Multiply each side by 5 and then add 8 to each side.
B
Add 8 to each side and then multiply each side by 5.
C
Add 8 to each side and then divide each side by 5.
D
Subtract 8 from each side and then multiply each side by 5.
E
Subtract 6 from each side and then multiply each side by 8.
F
Multiply each side by 5 and then add 40 to each side.

Answers

Answer:

Correct option: C

Step-by-step explanation:

To solve the equation m*5 - 8 = -6, we can use the following steps:

step1: sum 8 in both sides, to make m*5 be the only term in the left side.

m*5 = 2

step2: divide both sides by 5, then we will have 'm' isolated in the left side.

m = 2/5

So the operations we could use is: add 8 to each side and then divide each side by 5.

Correct option: C

What is the factors of 27

Answers

Answer:

1, 27, 3, 9,

Step-by-step explanation:

To find the factors of 27 you need to find which whole number times another whole number = 27

We know that 1*27 = 27

We also know that 3*9 = 27

The factors are all the numbers that are used in the multiplication.

In this example the numbers are: 1, 3, 9 and 27

Answer:

1,9,3,27

Step-by-step explanation:

if we break it down we can see:

1x27=27

9x3=27

Logan is reading about architecture and learns that trusses can be used to support roofs. He wants to find the measures of the angles on a truss. truss.

Answers

Answer:

It could help Logan to first study the constitution and shape of this type of armor in order to make a mental image of the positions of the angles as well as the size.

Step-by-step explanation:

A previous study allows Logan to understand that these types of trusses have a triangular shape and are widely used in the construction of roofs, therefore Logan could use to draw this type of trusses.

An object is launched directly in the air at a speed of 64 feet per second from a platform located 16 feet in the air. The motion of the object can be modeled using the function f(t)=−16t2+64t+16, where t is the time in seconds and f(t) is the height of the object. When, in seconds, will the object reach its maximum height?

Answers

Answer:

Step-by-step explanation:

x= -b/2a = -64/2(-16) = 2

showing that the object will reach its highest point at 2 seconds

Find the volume of the cylinder Either enter an exact answer in terms of Pi or use 3.14 or Pi

Answers

Answer:

[tex]Volume = 54\,\pi[/tex]

Step-by-step explanation:

Recall the formula for the volume of a cylinder:

[tex]Volume=\pi \,R^2\,H[/tex]

where R is the radius of the cylinder's base, and H is the cylinder's height.

Therefore, in our case the volume becomes:

[tex]Volume=\pi \,R^2\,H\\Volume=\pi \,3^2\,*\,6\\Volume = 54\,\pi[/tex]

I Need Help With This Question
Attachment below

Answers

Answer & Step-by-step explanation:

For this problem, all we have to do is add f(x) to g(x). So, we will add (x -2) to (x² + x - 6).

(x - 2) + (x² + x - 6)

Combine like terms.

x² + (x + x) + (-2 + (-6))

x² + 2x - 8

So, (f + g)(x) is equal to x² + 2x - 8

(2n + 4) + 6 = –9 + 4(2n + 1)

Answers

Answer:

n=2.5

Step-by-step explanation:

(2n+4)+6=-9+4(2n+1)

Expand parentheses:

2n+10=-9+8n+4

Combine like terms:

15=6n

Divide both sides by 6:

n=2.5

Hope this helps!

n = 2.5

2n + 10 = -9 + 8n + 4
2n + 10 = -5 + 8n
15 = 6n
n = 15/6

Find the 64th term of the following arithmetic sequence.

29,38,47...

Answers

Answer:

596

Step-by-step explanation:

I typed in 656 as the other person it was but it wasn't

An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The nth term of an arithmetic series is given as:

a(n) = a(1) + (n - 1)d

The 64th term of the arithmetic sequence is 596.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

common difference = 2

The first term = 2.

We have,

29, 38, 47,.....

First term = 29

a(1) = 29

Common difference:

= 38 - 29

= 9

Now,

The nth term of an arithmetic series is given as:

a(n) = a(1) + (n - 1)d

The value of the 64th term in the arithmetic sequence.

a(64) = a(1) + (64 - ) x 9

a(64) = 29 + 63 x 9

a(64) = 29 + 567

a(64) = 596

Thus,

The 64th term of the arithmetic sequence is 596.

Learn more about arithmetic sequence here:

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Answers

Answer:

x^2+6x+8

Step-by-step explanation:

x x x=x^2

x x2= 2x

4 x x=4x

4 x 2= 8

x^2+2x+4x+8

x^2+6x+8

Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

between step 1 and 2 he left off the 5

Solve
4(2x - 3) = 6x + 2​

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

4(2x - 3) = 6x + 2

Expand it:

8x - 12 = 6x + 2

+ 12 to both sides

8x = 6x + 14

- 6x from both sides

2x = 14

Divide both sides by  2:

x = 7

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A plane is descending onto the runway with an angle of depression of 55°. If it has 2.8 miles to go before landing (hypotenuse), what is the current altitude of the plane?

A. 4.9 miles
B. 3.4 miles
C. 4 miles
D. 1.6 miles
E. 2.3 miles

Answers

Answer:

Option C is correct

Step-by-step explanation:

Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.

To find: current altitude of the plane

Solution:

Consider the attached image.

In ΔABC,

[tex]\angle ACB=55^{\circ}[/tex] (Alternate interior angles)

For any angle [tex]\theta[/tex],

[tex]tan \theta[/tex] = side opposite to angle/side adjacent to angle

[tex]\tan C=\frac{AB}{BC}[/tex]

Put [tex]\angle C=55^{\circ}\,,\,BC=2.8\,\,miles[/tex]

[tex]AB=2.8\,\tan 55^{\circ}=3.999\approx 4\,\,miles[/tex]

So, the current altitude of the plane is 4 miles.

Jordan has some music books. He will buy 9 new music books each year. He will have 52 music books in 5 years. Rate of change per year = ____ Initial value = _____

Answers

Okay the answer is I have no clue

Write the simplest form of the expression (64/729)^(−1/6)

Answers

Answer:

3/2

Step-by-step explanation:

(64/729)^(−1/6)=(2^6/3^6)^(-1/6)=(2/3)^-1=3/2

Evaluate:
a = -3, b = 1, and c= -4
-21 - C
Type the correct answer, then press Enter.
Ar

Answers

Answer:the answer is -17

Step-by-step explanation:

Berto has $12 and 3.75 per gallon how much gas can he get

Answers

Berro can get 3 gallons of gas

Answer:

(3.2, 12)

Step-by-step explanation:

Total cost for gas = $12

Cost per gallon = $3.75

Letting total cost of gas be y and number of gallons be x, maximum number of gallons of gas he can buy would be ;

Total cost of gas/ cost per gallon = 12 / 3.75 = 3.2 gallons

Therefore , the coordinate pair (x, y) = (3.2, 12)

plz help
solve for q

Answers

Answer: -3

Step-by-step explanation:

-3^2=-3*-3=-9

Because the square of q is equal to -9, the square root of -9 is equal to q.

Because of this fact, we can find the square root of -9 to get our answer.

[tex]\sqrt{-9}[/tex] = 3 i.

Therefore, q is equal to 3 i or [tex]\sqrt{-9}[/tex].

Hope this helped! :)

Write the coordinates of the image of Q(-3,-6) reflected in the line y=x

HELP PLEASE I RLY NEED HELP URGENT

Answers

Answer: (-6, -3)

Step-by-step explanation:

We have the point (-3, -6)

And we want to do a reflection over the line y = x.

When we do a reflection of the point (x, y) over the line y = x. the reflected point will be (y, x)

So if our original point is (-3, -6) then the reflected point is (-6, -3)

Order these fractions from least to greatest 7/8 4/6 3/4

Answers

Answer:

4/6 , 3/4, 7/8

Step-by-step explanation:

7/8 4/6 3/4

The common denominator is 24

7/8*3/3 = 21/24

4/6* 4/4 = 16/24

3/4 * 6/6 = 18/24

From smallest to largest

16/24, 18/24, 21/24

4/6 , 3/4, 7/8

LeBron James shot 30 shots per game last season. His season high in shots was 2,000. He wants to earn a different shot per game record next season. How many shots shouldn’t LeBron take per game next season?

Answers

Answer:

1700

Step-by-step explanation:

A rectangular piece of metal is 25in longer than it is wide . Squares with sides 5in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 750in, what were the original dimensions of the piece of metal

Answers

Answer:

Step-by-step explanation:

Let width be x

Let lenght be 25 + x

Total ax = (25+x) * x

Square with 5in long are cut from the four corner formed = 750in

(25+x-10) * (x-10) * 5 = 750

(15+x) (x-10) = 150

15x-150+x^2-10x =150

15x -150-150+x^2-10x+0

x^2+15x-300=0

(ax^2+bx+c=0)

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