Answer this for me thanks

By solving a system of equations, we will see that the rational function is:

[tex]f(x) = \frac{12}{(x + 2)} -3[/tex]

First, we need to see the x-value of the vertical asymptote, here we can see that the vertical asymptote happens at x = -2, then the denominator will be something like:

d = (x - (-2)) = (x + 2).

Then our rational function will be something like:

[tex]f(x) = \frac{a}{(x + 2)} + c[/tex]

In the graph we can see two things, first:

f(0) = 3

f(1) = 1

Replacing that in our function, we get:

[tex]\frac{a}{(0 + 2)} + c = 3\\\\ \frac{a}{(1 + 2)} + c = 1[/tex]

This is a system of equations, that can be rewritten as:

a/2 + c = 3

a/3 + c = 1

Isolathing c in both equations, we get:

a/2 - 3 = -c = a/3 - 1

Then we have:

a/2 - 3 = a/3 - 1

Now we can solve this for a:

a/2 - a/3 = 3 - 1

a/6 = 2

a = 2*6 = 12

And the value of c is given by:

-c = a/3 - 1 = 12/3 - 1 = 4 - 1 = 3

c = -3

Then the rational function is:

[tex]f(x) = \frac{12}{(x + 2)} - 3[/tex]

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Answer:

B. 3(1/3)^x

Step-by-step explanation:

Edg 2022

Answer:

[tex]\frac{3x+1}{x}, x\neq -1[/tex]

Step-by-step explanation:

We can start by combining the fractions in the numerator. We can multiply them by x/x and x + 1/x + 1 respectively to get a common denominator of x(x + 1).

[tex]\frac{4}{x+1}*\frac{x}{x} +\frac{2}{x} *\frac{x+1}{x+1}\\\\\frac{4x}{x(x+1)}+\frac{2x+2}{x(x+1)}\\\\\frac{6x+2}{x(x+1)}[/tex]

Now we can rewrite an simplify:

[tex]\frac{\frac{6x+2}{x(x+1)} }{\frac{2}{x+1} }\\\\\\\frac{6x+2}{x(x+1)}*\frac{x+1}{2} \\\\\frac{3x+1}{x}[/tex]

The domain would be x ≠ -1 because the starting domain is [tex]x\neq -1; x\neq 0[/tex] and it changed to [tex]x\neq 0[/tex], so for the two fractions to be equal, the domain would be [tex]x\neq -1[/tex].

Answer:

maybe the palm tree is at 5 the rock at -2 and the sand dollar at 0?

or, somthing like that

Step-by-step explanation:

The sand dollar is at zero which is  2 units away from rock and five units away from palm tree

A number system is defined as a system of writing to express numbers.

A sand dollar is 2 units away from rock and five units away from palm tree, We have to find the location of  the sand dollar

Let the rock is at -2 on number line

The palm tree is at 5 on  number line

So the sand dollar is at 0, as zero is two units away from rock and tree is five units away

Hence, the sand dollar is at zero which is  2 units away from rock and five units away from palm tree

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Answer:

you find the area of triangle by the formula

1/2×base×height

Answer:

Area of triangle = ½ × base × height

Step-by-step explanation:

(A = ½ × b × h)

This formula is mainly used to find the area of the triangle.

Answer:

1. the Equation of vertical line=> x=3

2. the Equation of horizontal line

=> y = 4

Answer:

y=4

Step-by-step explanation:

Answer:

a dilation with a scale factor greater than 1 and then a translation (the last option)

The composition of transformation is a dilation with a scale factor greater than 1 and then a translation.

A translation only moves a shape up, down, or from side to side; it has no effect on how it appears.

We have a transformations maps LMN to  L'M'N'.

As the size of Triangle L'M'N' is larger as compared to LMN.

The compression is represented by a scale factor with an absolute value between 0 and 1, while the enlargement is represented by a scale factor with an absolute value greater than 1.

Thus, dilation with a scale factor greater than 1 and then a translation.

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97 decibel sound is 2.5 times more intense than a 93 decibel sound

Correct option is C.

Sound intensity also known as acoustic intensity, is defined as the power transmitted by a sound wave per unit area in a direction perpendicular to that area. Sound intensity is the sound power in watts divided by the area (in square meters) covered by the sound. Sound loudness relates the intensity of a particular sound to its strength at the threshold of hearing, measured in decibels (dB).

Given expression for loudness

L = 10 log(I/I₀)

Loudness of two different sounds are

L₁ = 97 decibel and L₂ = 93 decibel.

Let the intensity for the loudness L₁ and L₂ are I₁ and I₂

Then,

L₁ = 10log(I₁/I₀) = 97

⇒ log(I₁/I₀) = 9.7

taking antilog

I₁/I₀ = antilog (9.7)

I₁/I₀ = 5011872336.27271

L₂ = 10log(I₂/I₀) = 93

⇒ log(I₂/I₀) = 9.3

taking antilog

I₂/I₀ = antilog (9.3)

I₂/I₀ = 1995262314.96888

Then,

(I₁/I₀)/(I₂/I₀) = 5011872336.27271/1995262314.96888

I₁/I₂ = 2.51188643 ≈ 2.5

Hence, 2.5 times more intense is 97 decibel sound than 93 decibel sound.

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Explanation:

Draw a vertical number line. Let's say we start at 0 on the number line. Zero means no net change (he doesn't gain weight, nor does he lose weight either).

Losing 8 pounds means we go down 8 units. Think of it like being at the ground level and then going down 8 floors to the basement level of a large building (eg: parking garage maybe).

After this movement, we're at -8 on the number line. Then move up 9 units to arrive at +1 or just 1 on the number line. So Alex has gained those 8 pounds back to his original weight, plus an extra pound. So that's why -8+9 = 1.

Then move down 2 units to get to -1. Lastly, from -1 move 6 units down to get to -7.

So overall, Alex has lost 7 pounds when everything is said and done.

Refer to the diagram below. We start at point A, move to point B after losing 8 pounds, then to C when gaining 9 pounds, and so on until we get to point E. Point E is at -7 on the vertical number line to represent that he lost 7 pounds.

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

We can think of it in another way:

add up all the losses to get

loss of 8 + loss of 2 + loss of 6 = loss of 16

So he lost 16 pounds if we ignore the "gained 9 pounds", but we have to account for that. So we'll take 9 away from 16 to get 16-9 = 7.

Overall, Alex lost 7 pounds.

Answer:

11 km

Step-by-step explanation:

34.1 = 3.1x

solve for x

x=11 km

Answer:

D

Step-by-step explanation:

el cociente es 12 y el resto es 4, porque 12 por 5 es 60. 60 es el cociente. y 64-60 = 4 por lo tanto 4 es el resto

Answer: (5,10) (6,12) (15,18) (20,24) (25,30)

Step-by-step explanation:

All you have to do is read the question carefully, and if you don’t understand than, keep doubling each number. Example: 5, 10 then you do whitneys part, which is 6,12 than you keep adding 5 and 6

Answer:

5 months

Step-by-step explanation:

150 + 45x = 195 240 285 330 375 420

125 + 50x = 175 225 275 325 375 425

Answer:

23

Step-by-step explanation:

Using an online calculator and plugging the values in, we get our equation of y=mx + b to become y = 1.2x - 17.8 .

Plugging 34 in for x, we get 1.2(34) - 17.8 = 23 for their projected test grade

Answer:

Percentage profit = 20%

Step-by-step explanation:

Given the following data;

Cost price = birr 180

Selling price = birr 225

To find the percentage profit;

First of all, we would determine the profit;

Profit = selling price - cost price

Profit = 225 - 180

Profit = birr 45

Next, we would determine the percentage profit;

[tex] Percentage \; profit = \frac{profit}{selling \; price} * 100[/tex]

[tex] Percentage \; profit = \frac{45}{225} * 100[/tex]

[tex] Percentage \; profit = 0.2 * 100[/tex]

Percentage profit = 20%

Answer:

11.43

Step-by-step explanation:

You can start this by adding the total cost of the salad and the coffee.

4.76 + 3.81 = 8.57

Then you have the paid amount of 20 bucks because there was two tens.

20 - 8.57 = 11.43.

one root common that's -3

Step-by-step explanation:

use desmos

Answer:

26 m

Step-by-step explanation:

Find what length is needed for fencing by finding the perimeter of the land.

Use the perimeter formula, P = 2l + 2w

Plug in the length and width:

P = 2l + 2w

P = 2(8) + 2(5)

P = 16 + 10

= 26

So, the length of wire needed is 26 m

Answer:

hii

Step-by-step explanation:

follow me please gugs

Step-by-step explanation:

Can u upload image so that i can help u

Answer:

Your answer is DDDDDDDDD

Step-by-step explanation:

Answer:

bete a la her ha pir que yo no me use la reasouesta

answer:B

got it right on edg

The function that represents the exponential graph is, [tex]y = 2^{x+2} + 3[/tex].

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

We know a function is called an exponential function when the exponent is the independent variable, For example, aˣ.

From the graph of the function, When x = 0, y = 7.

Observing the options we have,

[tex]y = 2^{x+2} + 3[/tex].

When x = 0.

[tex]y = 2^{0+2} + 3.[/tex]

[tex]y = 2^{2} + 3.[/tex]

y = 7.

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Answer:

A. 900 un³

Step-by-step explanation:

Volume = Area triangle x height

Area triangle = 1/2 (15 x 8) = 1/2(120) = 60

60 x 15 = 600 + 300 = 900 un³

If my answer is incorrect, pls correct me!

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-Chetan K

From the following compound inequalities, all the compound inequalities have a solution.

A compound inequality is a type of inequality that comprises two basic inequalities.

From the given information, we have:

To determine the compound inequality with no solution, we need to solve each of the inequalities.

1.

2x + 3  < 3x - 4 and 3x + 7 > 5x - 9

Collect like terms

= 2x - 3x < - 4 - 3  and 3x - 5x > - 9 - 7

= -x < -7 and -2x > -16

= x < 7 and x > 8    (has a solution)

2.

2(x -6) < 3(x+6) and 6(x+3) > 9(x-1)

Open brackets

= 2x - 12 < 3x + 18 and 6x + 18 > 9x - 9

Collect like terms

= 2x - 3x < 18 + 12 and 6x - 9x > - 9 - 18

= - x < 30 and - 3x > - 27

= x > -30 and x > 9   (has a solution)

3.

8x + 15 ≤ 4x - 5 and -7x + 2 < -6x + 3

Collect like terms

= 8x - 4x  ≤ - 5 - 15 and -7x - 6x < 3 - 2

= 4x ≤ - 20 and -13x < 1

= x  ≤ -5 and x < - 1/13   ( has a solution)

4.

-5x - 1 ≥ -7x + 9 and -4x - 7 < 5x + 11

= -5x + 7x ≥ 9 + 1 and -4x -5x < 11 + 7

= 2x ≥ 10 and -9x < 18

= x  ≥ 5 and x < -2 ( has a solution)

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Answer:50

Step-by-step explanation:

3/5 = 3 ÷ 5 = 0.6

30 ÷ 0.6 = 50

otra explicacion:

30/1 ÷ 3/5= 30/1 x 5/3 = 150/3 = 50

[tex] \boxed{ \boxed{ \cos {}^{2} ( \theta) = \dfrac{1}{4} }}[/tex]

According to a Trigonometric Identity :

[tex] \hookrightarrow \mathrm{\sin {}^{2} ( \theta) + \cos {}^{2} ( \theta) = 1}[/tex]

Now, let's solve for [tex] \cos²(\theta)[/tex]

[tex] \longrightarrow \dfrac{3}{4} + \cos {}^{2} ( \theta) = 1[/tex]

[tex] \longrightarrow \cos{}^{2}( \theta) = 1 - \dfrac{3}{4} [/tex]

[tex]\longrightarrow \cos {}^{2} ( \theta) = \dfrac{4 - 3}{4} [/tex]

[tex]\longrightarrow \cos {}^{2} ( \theta) = \dfrac{1}{4} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: \: it \: \: helps \: \: you.....}}{\orange{}}}}}[/tex]

Answer:

5/12 hour or 25 minutes

Step-by-step explanation:

The formula is

distance = rate * time

changing minutes to hours (50 * 1 /60 ) = 5/6 hours

distance = 20 mph * 5/6 hours

distance = 50/3 miles

We need to go the same distance at 40 mph

50/3 = 40 mph * time

Multiply each side by 1/40

50 /3 * 1/40 = 40 * 1/40 *t

50/3 *1/40 =t

5/12  of an hour

Changing back to minutes

5/12 * 60 =25

Answer:

c. 60

Step-by-step explanation:

If we know that d is 90 degrees. We can make a conclusion that we have a 30, 60, 90 triangle. D is 90 and a triangle is 180 degrees. So we can automatically knock off 90 from the 180 giving us another 90. Now we know that we have a 30 and 60 to work with. F is an angle that is larger than E. So E is 30 and F is 60.

Answer:

C

Step-by-step explanation:

y intercept of the graph is -2

-9x is a very steep gradient