which of the following functions best describes this graph?
A.y=(x-1)(x-1)
B.y=x^2-5x+6
C. y=x^2-x+5
D. y=( x-3)(x+1)

Using limits, it is found that the end behavior of the graph is given as follows:

It rises to the left, and stays constant at y = -4 to the right.

It is given by the limits of f(x) as x goes to infinity.

In this problem, the function is given by:

[tex]f(x) = 4\left(\frac{2}{5}\right)^{x + 3} - 4[/tex]

Hence:

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{5}{2}\right)^{\infty + 3} - 4 = \infty - 4 = \infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{2}{5}\right)^{\infty + 3} - 4 = 0 - 4 = -4[/tex]

Hence:

It rises to the left, and stays constant at y = -4 to the right.

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Answer:

A

Step-by-step explanation:

Comment (and answer)

Both start with the plus x axis as one of the arms. The other arm of 110o goes anti clockwise until it is 30 degrees into the second quadrant.

The answer can be found by using 110 - 360 = negative angle.

So 110 - 360 = - 250 which goes clockwise from the plus x axis. The answer must be A.

Make sure you understand the concept of clockwise and anti clockwise. If you don't know, ask your teacher, write it down, and try not to forget it. The distinction comes up a lot.

Answer:

it takes 6 days for 1 machine...

From the given information, we have

[tex]13\sin(\theta) = 12\cos(\theta) \implies \dfrac{\sin(\theta)}{\cos(\theta)} = \dfrac{12}{13}[/tex]

In the expression of interest, divide through everything by [tex]\cos^2(\theta)[/tex] to get

[tex]\dfrac{2\sin(\theta)\cos(\theta)}{\cos^2(\theta) - \sin^2(\theta)} = \dfrac{2\frac{\sin(\theta)}{\cos(\theta)}}{1 - \frac{\sin^2(\theta)}{\cos^2(\theta)}}[/tex]

Then plugging in the given info, we get

[tex]\dfrac{2\sin(\theta)\cos(\theta)}{\cos^2(\theta) - \sin^2(\theta)} = \dfrac{2\times \frac{12}{13}}{1 - \left(\frac{12}{13}\right)^2} = \boxed{\dfrac{312}{25}}[/tex]

Answer:

The answer is 1: 50000... If you look down here↓:

Step-by-step explanation:

With a scale of 1:20000, a unit length on the map represents a length of 20000. So 1 cm^2 = 1 cm* 1 cm which represents 20000*20000 cm^2 will be = 4*10^8 cm^2.

50 cm^2 represents that 4*50*10^8 cm^2 = 200* 10^8 cm^2.

Now, on the other hand, the map has the same. 200* 10^8 is represented by 8 cm^2. So the scale is sqrt [ 200* 10^8 / 8 ] = sqrt [ 25* 10^8 ] = 5* 10^4 = 50000.

Therefore the scale on the second map is 1: 50000.

The x-coordinate of the point (50, 55) is 50

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The distance of point (50, 55) perpendicular to y-axis

Thus, perpendicular distance = 50 units

The x-coordinate of the point (50, 55) is 50

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Answer:

See below

Step-by-step explanation:

Period = 1 day      

Periodic interest = .045 / 365       (since there are 365 days in a year)

V(t) = 6000 *  ( 1 + .045/365)^t      where t is in days

V(t) = 6000 * (1+.045/365)^(t * 365)       where t is in years

The scale factor for triangle ABC to A'B'C' is 2

The complete question is in the attached image

From the attached image, we have the following corresponding sides

AC = 4 cm

A'C' = 8 cm

The scale factor is then calculated as:

Scale factor = A'C'/AC

This gives

Scale factor = 8cm/4cm

Evaluate the quotient

Scale factor = 2

Hence, the scale factor for triangle ABC to A'B'C' is 2

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Answer:

[tex]x = 45 \sqrt{5} [/tex]

Step-by-step explanation:

[tex] {3}^{2 log_{3}(x) + log_{3}(5) } = {3}^{ 4log_{3}(15) } [/tex]

[tex] {3}^{ log_{3}( {x}^{2} ) } {3}^{ log_{3}(5) } = {3}^{ log_{3}( {15}^{4} ) } [/tex]

[tex]5 {x}^{2} = {15}^{4} [/tex]

[tex] {x}^{2} = \frac{ {15}^{4} }{5} [/tex]

[tex]x = \frac{ {15}^{2} }{ \sqrt{5} } ( \frac{ \sqrt{5} }{ \sqrt{5} } )[/tex]

[tex]x = \frac{ {15}^{2} \sqrt{5} }{5} = 45 \sqrt{5} [/tex]

Answer:

20ft²

Step-by-step explanation:

Answer:

38.8 litres

Step-by-step explanation:

22.6 + 18.7 = 41.3

41.3 - 2.5 = 38.8

38.8 litres

Answer:

38.8 liters.

Step-by-step explanation:

Word problems with addition and subtraction:

To find the quantity of water inside the bath tub, add the quantity of hot water and cold water. Then from this subtract the water that is spilled.

Quantity of water in the bathtub = 22.6 + 18.7 - 2.5

                                                      = 41.3 - 2.5

                                                      = 38.8 liters

The benefit value of the widget on the books of abc is $8

The given parameters are:

Cost price = $5 cash

Selling price = $8 account

The benefit value of the widget is the same as their selling price on account

Hence, the benefit value of the widget is $8

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Answer:

0.5 hours

Explanation:

Given:

Formula:

Solve:

The value obtained by doing the operation are ,a=0.11,b=11,c=(111/250)d=44,e=(1/8),f=(83/500),h=0.375,i=37.5%,j=(111/125),k=0.888,i=(777/1000),m=77%,n=0.2,o=20%,p=(777/1000),q=66.6%.

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The procedure of changing the basis of a number is known as number conversion. A binary number is made up of only two numbers: 1 and 0. A decimal number is made up of ten digits ranging from 0 to 9.

The values obtained from the table the decimal and the percentage form are solved as;

[tex]\frac{1}{9} \\\\ 0.3111 \\\\\ 0.1111 \times 100 \\\\ 11.11 \%[/tex]

The other missing values are;

a=0.11

b=11

c=(111/250)

d=44

e=(1/8)

f=(83/500)

h=0.375

i=37.5%

j=(111/125)

k=0.888

i=(777/1000)

m=77%

n=0.2

o=20%

p=(777/1000)

q=66.6%

Hence all the missing values are given above.

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The resulting polynomial when 5x -6 is subtracted from 3x² -6x +2 is; 3x² -11x +8.

It follows from the task content that the polynomial 5x -6 is to be subtracted from 3x² -6x +2.

Hence, the subtraction goes thus; 3x² -6x +2 -(5x-6).

Hence, 3x² -6x +2 -5x+6

= 3x² -11x +8.

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Answer:

[tex]\textsf{B.}\quad -2(\sqrt{2}-1)[/tex]

Step-by-step explanation:

Given integral:

[tex]\displaystyle \int^{\pi}_{\frac{\pi}{2}}\dfrac{\cos \theta}{\sqrt{1+ \sin \theta}}\:\:d\theta[/tex]

Solve by using Integration by Substitution

Substitute u for one of the functions of [tex]\theta[/tex] to give a function that's easier to integrate.

[tex]\textsf{Let }u=1+\sin \theta[/tex]

Find the derivative of u and rewrite it so that [tex]d \theta[/tex] is on its own:

[tex]\implies \dfrac{du}{d \theta}=\cos \theta[/tex]

[tex]\implies d \theta=\dfrac{1}{\cos \theta}\:du[/tex]

Use the substitution to change the limits of the integral from [tex]\theta[/tex]-values to u-values:

[tex]\textsf{When }\theta=\pi \implies u=1[/tex]

[tex]\textsf{When }\theta=\dfrac{\pi}{2} \implies u=2[/tex]

Substitute everything into the original integral and solve:

[tex]\begin{aligned}\displaystyle \int^{\pi}_{\frac{\pi}{2}}\dfrac{\cos \theta}{\sqrt{1+ \sin \theta}}\:\:d\theta & =\int^{1}_2}\dfrac{\cos \theta}{\sqrt{u}}\:\cdot \dfrac{1}{\cos \theta}\:\:du\\\\& =\int^{1}_{2}\dfrac{1}{\sqrt{u}} \:\:du \\\\& =\int^{1}_{2} u^{-\frac{1}{2}}\:\:du \\\\& = \left[ 2u^{\frac{1}{2}} \right]^{1}_{2}\\\\& = \left(2(1)^{\frac{1}{2}}\right)-\left(2(2)^{\frac{1}{2}}\right)\\\\& = 2-2\sqrt{2}\\\\& = -2(\sqrt{2}-1)\end{aligned}[/tex]

Answer:

Step-by-step explanation:

The last one: 79, 79, 79, 79, 79, 79, 79, 79, 79, 79 because there isn't any difference in the numbers.

S.D.: 0

Answer:

20

Step-by-step explanation:

each year each child will get additional age

example 5 children average of the age 20 years old.

after 20 years all of them.will be 20+20=40 years old.

the group of the children not changing but average of the groups will be increase in 20 years.

Answer:

A

Step-by-step explanation:

Reflection over the x axis means that for points A, B, and C, the sign of the y value would change. Since point A is (1, 1), a reflection over the x axis means that it would become (1, -1). We can do the same for points B and C and therefore the answer is graph A

Answer: D for me at least

Step-by-step explanation: hope this helps :3

Answer:

4x82x929wjdjdejdjekke

[tex] \frac{1}{x + 2} + \frac{1}{x + 3} = \frac{2}{x + 9 } \\ \frac{(x + 3 ) + (x + 2)}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ \frac{2x + 5}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ 2( {x}^{2} + 5x + 6) = (x + 9)(2x + 5) \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 5x + 18x + 45 \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 23x + 45 \\ 2 {x}^{2} - 2 {x}^{2} + 10x - 23x + 12 - 45 = 0 \\ - 13x - 33 = 0 \\ - 13x = 33 \\ x = \frac{33}{ - 13} \\ x = - 2.54[/tex]

Hope it helps

Please give brainliest

Answer:

Option C is equal to 7^1/3

Answer:

Given - Length is nine feet more

Area is 252

To find - Value of length and width

Solution-

let the width of the carpet be X

therefore length = 9 + X

Area of carpet = Length * width

252 = (9+x) * X

252 = 9x + x²

Solving the equation by splitting middle term

x² + 9x - 252 = 0

x²- 21x + 12x - 252= 0

x ( x - 21) + 12( x - 21) = 0

(x -21)( x + 12) = 0

X = 21 or X = (-12)

Length = 9 + X

= 30 or (-3)

negative is not possible so

length = 30

width = 21

The equation of the parabola will be y = x² – 6x + 9. Then the correct option is C.

The complete question is attached below.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertex of the parabola is at (3, 0). Then the equation of the parabola will be

y = (x – 3)² + 0

Then open the bracket, we have

y = x² – 6x + 9

Then the correct option is C.

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Based on the amount of cash that Elias Rubio brings, we can calculate that his total cash deposit is $1,323

This can be found as:

= (75 x 1) + (78 x 5) + (83 x 10) + (80 x 0.25) + (32 x 0.10 or 10 cents) + (95 x 0.05 or 5 cents) + (5 x 0.01 or 1 cent)

Solving gives:

= 75 + 390 + 830 + 20 + 3.20 + 4.75 + 0.05

= $1,323

Remaining part of the question:

How much did he deposit in cash?

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Answer:

the answer is 5

Step-by-step explanation:

if you plug in everything, then the equation is the square root of 2 to the 3rd power minus 7 plus the absolute value of 4.

So first 2 to the third power is 8

Then the absolute value of negative 4 is 4

So 8-7 is 1

The square root of 1 is 1

1 plus 4 is 5, the answer is 5

Answer:

x=3 and y = -3/2

A method for solving a system of linear equations where you add or subtract equations to eliminate a variable. Eliminating one variable by combining two equations with a common term with adding or subtracting.

___________________________________

Let's solve your system by elimination.

4x−2y=15;2x+2y=3

4x−2y=15

2x+2y=3

Add these equations to eliminate y:

6x=18

Then solve 6x=18 for x:

6x=18

6x/6 = 18/6 (Divide both sides by 6)

x=3

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

4x−2y=15

Substitute3 for x in 4x−2y=15:

(4)(3)−2y=15

−2y+12=15(Simplify both sides of the equation)

−2y+12+−12=15+−12(Add -12 to both sides)

−2y=3

-2y/-2 = 3/-2 (Divide both sides by -2)

y = -3/2

Answer:

x=3 and y = -3/2

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The number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).

The equations are given below.

y = x² + x − 2  ...1

y = – x + 1       ...2

From equations 1 and 2, we have

x² + x − 2 = – x + 1

x² + 2x − 3 = 0

Then the factor of the equation will be

x² + 3x – x − 3 = 0

    (x + 3)(x – 1) = 0

                     x = 1, –3

Then  the value of y will be

At x = 1, we have

y = -1 + 1

y = 0

At x = -3, we have

y = -(-3) + 1

y = 4

Then the number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).

The graph is given below.

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ED and AC are congruent

Write Statement as:

AB*BC=EB*BD

8(4x+2)=9(4x)

32x+16=36x

16=4x

4=x

Hope it helps!

A graph is a way to represent a lot of data in such a visual format. The graph for the given situation can be drawn as shown below.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given situation can be drawn as shown below, where the x-axis represents the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and the y-axis represents the total cost of the rice.

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