Which of the following is the graph of y= e^x + 1?

The equation first represents the hyperbola has vertices at (0, 5) and (0, –5), and asymptotes y = ±(5/12)x option first is correct.

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have:

Vertices of the hyperbola = (0, 5) and (0, -5)

Asymptotes: y = ±(5/12)x

The equations we have:

[tex]\rm \dfrac{y^{2}}{25}-\dfrac{x^{2}}{144}=1[/tex]

[tex]\rm \dfrac{y^{2}}{144}-\dfrac{x^{2}}{25}=1[/tex]

[tex]\rm \dfrac{x^{2}}{25}-\dfrac{y^{2}}{144}=1[/tex]

[tex]\rm \dfrac{y^{2}}{144}-\dfrac{x^{2}}{25}=1[/tex]

From the equation first:

[tex]\rm \dfrac{y^{2}}{25}-\dfrac{x^{2}}{144}=1[/tex]

The value of a and b are:

a = 12

b = 5

Vertices of the hyperbola = (0, b) and (0, -b)

Vertices of the hyperbola = (0, 5) and (0, -5)

Asymptotes: y = ±(b/a)x

Asymptotes: y = ±(5/12)x

Thus, the equation first represents the hyperbola has vertices at (0, 5) and (0, –5), and asymptotes y = ±(5/12)x option first is correct.

Learn more about the hyperbola here:

brainly.com/question/12919612

#SPJ1

Answer:

A

Step-by-step explanation:

Answer:

y = -x/2 + 1/2 or

y = -1/2 x + 1/2

(these are equivalent)

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

So we have to get the y all by itself on the left.

2y + x = 1

Subtract x from both sides.

2y = 1 - x

Divide both sides by 2. Divide all the terms by 2.

2y/2 = 1/2 - x/2

Simplify.

y = 1/2 - x/2

Rearrange the terms on the right side so that the x term is first and the constant is last.

y = -x/2 + 1/2

I think this is a good, reasonable and correct answer. But maybe you really want to see that m number (the slope) out in front of the x. Then you can write is as:

y = -1/2 x + 1/2

Composite functions occur when we take two functions and input one into the other as x.

Example:

[tex]f(x) = 2x[/tex]

[tex]g(x) = 3x^2[/tex]

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

[tex](f\circ g)(x) = 2(3x^2)[/tex]

We're given:

To find [tex](f\circ g)(x)[/tex], input g into f as x:

[tex]f(x)= 3x +2[/tex]

[tex](f\circ g)(x)=3(x^2+1) +2\\(f\circ g)(x)=3x^2+3 +2\\(f\circ g)(x)=3x^2+5[/tex]

[tex](f\circ g)(x)=3x^2+5[/tex]

The conclusion drawn from the study is instance because the sample is homogenous and an experimental study was performed.

An experimental study deals with a dependent variable and there is a dependent variable.

Also, a control is used to establish the validity of the results.

The dependent variable is the level of softness after treatment while the independent variable is the type of water softener used.

The conclusion drawn from the study is instance because the sample is homogenous and an experimental study was performed.

Learn more about the experiment:

brainly.com/question/9199868

#SPJ1

Answer:

470.88 N

Step-by-step explanation:

F = ma

  48 ( 9.81) = 470.88 N      ( 105.958 lbs)

Answer: 180

Step-by-step explanation: 200 % 2 = 100

9/10 = 90/100

90 * 2 = 180

Answer:

20 students

If 9 out of 10 student prefer math over lunch, then 1 out of ten DO NOT. With this information you can set up a simple proportion: [tex]\frac{1}{10} =\frac{x}{200}[/tex].

To solve for x, you cross multiply as follows:

1*200=10x

200=10x

20=x

Hence, x equals 20, and 20 students do not prefer math over lunch.

Hope I helped!!!!!!!!!!!!!:)

Answer:

hjjj gogo fgjvsgjgccvvggggggffffffddsddddfffgv

Answer:

7, 616 because there is no floating point

(a):112

(b):396

(c):360

(d):30

(e):1664

(f):240

Answer:

8 hours 30 minutes

Step-by-step explanation:

6:05 pm - 9:35 am =

= 18:05 - 9:35

= 17:65 - 9:35

= 8:30

Answer:

Citcitdutditdutdtuditditdtiditf this is what is adjective 6hftuiouhvcutxyrzyt

Step-by-step explanation:

huuugggguytzurzt8st8s8ts9td96097g79t8dtrudutfitf8tfitftid8tdtdtudutd

Answer:

[tex] \sqrt{10} [/tex]

Step-by-step explanation:

Rule: [tex] \sqrt{a} \times \sqrt{b} = \sqrt{ab} [/tex]

[tex] \sqrt{5} \times \sqrt{2} = \sqrt{5 \times 2} = \sqrt{10} [/tex]

Answer:

which p? there isn't any p in above equation

Answer:

7

Step-by-step explanation:

for you to get the missing number just take the complete numbers and minus them then you'll get the incomplete digit needed good day.

Answer:

y = 2

Step-by-step explanation:

Addition Method:

4x - 2y = 6

2x + y = 7

-2(2x + y) = -2(7)

4x - 2y = 6

-4x - 2y = -14

-4y = -8

y = 2

Substitution Method:

4x - 2y = 6

2x + y = 7

-2y = 6 - 4x

2y = 4x - 6

y = 2x - 3

2x + (2x - 3) = 7

4x - 3 = 7

4x = 10

x = 2.5

2(2.5) + y = 7

5 + y = 7

y = 2

Brainliest, please :)

Answer:

The vertex is (-3,-2)

The vertex is basically the very top or very lowest, so you will notice how values around (-3,-2) are relatively the same in the y coordinate, but -2 is the "highest/lowest" so that's how you know it's a vertex.

If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.

Answer:

(-4, -5)

Step-by-step explanation:

-3x + 4y = -8

+

3x + y = -17

= 5y = -25 = y = -5

-3x + 4(-5) = -8

-3x - 20 = -8

-3x = 12

x = -4

The total volume of the pool is 1040 cubic ft. The correct answer is option B.

The complete question is given below:-

The community centre has an L-shaped swimming pool that is 10 feet deep. What is the volume of the pool

1200

1040

640

880

Volume is defined as the space covered by any solid body in the three-dimensional plane.

We know that the total volume of the pool is the sum of the volume of two rectangular prisms.

One is a rectangular prism with dimensions 20ft.×10ft.×4ft.

and the other rectangular prism has dimensions: 6ft.×4ft.×10ft.

Hence, the volume of a first rectangular prism is:

20×10×4=800 cubic ft.                      

The volume of a second rectangular prism is:

6×4×10=240 cubic ft.                    

Hence, the total volume of the pool is:

800+240=1040 cubic ft.                

Therefore the total volume of the pool is 1040 cubic ft. The correct answer is option B.

To know more about volume follow

https://brainly.com/question/1972490

#SPJ1

According to the function transformations, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]

The complete question is in the attachment

The function f(x) is given as:

[tex]f(x) = 5^x[/tex]

From the attached graph, we can see that the function f(x) is 10 units down to get g(x).

This is so because the y values of g(x) are 10 less than the corresponding y values of f(x)

This transformation is represented by:

(x, y) => (x, y - 10)

So, we have:

g(x) = f(x) - 10

Substitute [tex]f(x) = 5^x[/tex]

[tex]g(x) = 5^x - 10[/tex]

Hence, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]

Read more about function transformations at:

https://brainly.com/question/3381225

#SPJ1

The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given a linear equation in one variable.

[tex]\rm \dfrac{1}{2}y + 3.2y = 20[/tex]

After solving:

y = 5.40   (one solution)

[tex]\rm \dfrac{15}{2}+ 2z -\dfrac{1}{4}=4z+\dfrac{29}{4} -2z[/tex]

After solving:

[tex]\rm \dfrac{15}{2} -\dfrac{1}{4}=\dfrac{29}{4}[/tex]

[tex]\rm \dfrac{29}{4}=\dfrac{29}{4}[/tex] (Infinitely Many Solutions)

3z + 2.5 = 3.2 + 3z

2.5 = 3.2  (no solution)

Similarly, we can identify which equation has No Solution, One Solution, and Infinitely Many Solutions.

Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Answer:

Given - AC is parallel to DE

angle 3y + 28 = angle X ( Vertically opposite angles are equal).

3y + 28 = X

X + Y = 180° ( supplementary angles).

3y - X = (-28)

Solving both the equation we get

multiply eq 1 with 3

3x + 3y = 540

-X + 3y = (-28)

subtracting

4x = 568

x = 142°

3y + 28 = 142

3y = 142 - 28

3y = 114

y = 38°

The merchant needs to fill 60 litres of all types of oils .

What is HCF ?

HCF is the highest common factor, it is the factor in common in more than two numbers.

It is given in the question that

A merchant has 120 litres of oil of one kind, 180 litres of another kind, and 240 litres of the third kind.

He wants to sell the oil by filling the three kinds of equal capacity.

To find the greatest capacity of such a tin , we have to find the highest common factor of the individual capacity.

120=2×2×2×3×5

180=2×2×3×3×5

240=2×2×2×2×3×5

HCF=2×2×3×5=60

The greatest capacity = 60 litres

So the merchant needs to fill 60 litres of all types of oils .

To know more about HCF

https://brainly.com/question/17240111

#SPJ1

Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \sqrt{ {( - 4 - 2)}^{2} + {(2 - ( - 1))}^{2} } = \sqrt{45} = 3 \sqrt{5} [/tex]

Based on the characteristics of the function and the image generated by the graphing tool, we conclude that the first choice represents the function [tex]y = \sqrt{x} - 4[/tex].

In this question we have a radical function ([tex]f(x) = \sqrt{x}[/tex]) translated vertically 4 units in the -y direction. The domain of the function is [0, + ∞). A quick and efficient approach consists in graphing the function and comparing with each image to determine the right choice.

We present the graph description in the image attached below and we conclude that the first choice represents the graph of the function.

To learn more on radical functions: https://brainly.com/question/27847549

#SPJ1

Answer:

this is pretty easy we just replace the x with -1 so

(-1)^2+(-1)9+10

-1*-1=1

-1*9=-9

1+-9=-8

-8+10=2

f(-1)=2

Hope This Helps!!!

Answer:

(6,4)

Step-by-step explanation:

^^^

Based on the amount saved per week and the down payment of the property, the number of months it will take to save the amount is 46 months.

First, find out the amount saved per month:

= (30% x 2,051) x 2 payments a month

= $1,230.60

The downpayment is:

= 281,700 x 20%

= $56,340

The closing cost is:

= 1.15 x 56,230

= $843.45

The number of months till the amount is saved is:

= (56,340 + 843.45) / 1,230.60

= 46 months

Find out more on mortgage downpayments at https://brainly.com/question/9893085.

#SPJ1

The least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

A clothing manufacturer produces one type of sweater that earns $4 profit for each one sold.

Let x be the number of sweaters that must be produced each hour to earn a profit of at least $100

Total selling price if earns $4 profit for each one sold = 4x

The expenses for running the machine are $45 per hour.

4x - 45 ≤ 100

4x ≤ 145

x ≤ 145/4

x ≤ 36.25

Number of sweater(estimate value) = 37

Thus, the least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1