Analyze the key features of the graph of f(x) shown below.

Use rules of transformations and the parent function to formulate an equation for the rational function shown in the graph. Show all your work.​

Analyze The Key Features Of The Graph Of F(x) Shown Below. Use Rules Of Transformations And The Parent

Answers

Answer 1

Answer:

y = -2+1/3x

Step-by-step explanation:

Slope = -2

x - intercept = -3

To make the x-intercept positive you make it 1/3.  

y = -2 +1/3x


Related Questions

Rotating shapes about the origin by multiples of 90 degrees

Answers

Answer:

the rotated point B is then at (3, -7)

Step-by-step explanation:

the specification says a rotation of -90 degrees (counter clockwise) around the point (0, 0).

a turn by 90 degrees in any direction brings it always into the next quadrant, because every quadrant represents 90 degrees.

the rotated point will have the same distance from the center, of course. and the angle of the connection line center to B to the negative x-axis will be then the same as the angle of the connection line to the rotated point to the negative y-axis.

just think about rotating the original graph by -90 degrees. point B stays on the grid were it is and moves with the grid, and we just flip the coordinate axis.

so, it will be (3, -7).

The original retail of a leather chair is listed at $121.40 and is discounted by 60% in a summer sale. What is the discount and the sale price

Answers

Answer:48.56

Step-by-step explanation: 121.40-60%=

is the function given by G(x) - 1/x-6 continuous over the interval (1, ∞)? Why or why not?

a. No, the function is not continuous at x=
b. Yes, the function is continuous over (1,∞) because lim x>a G(x)= G(a) for all a in (1,∞).

Answers

Answer:

No, the function is not continuous at x=

Which expression is equivalent to (st)(6)?
s(t(6))
s(x) × t(6)
s(6) × t(6)
6 × s(x) × t(x)

Answers

Answer:

A

Step-by-step explanation

Answer:

the answer is c

Step-by-step explanation:

distributive property

Amanda only has $30 to buy pens and notebooks. Each pen costs $2. Each notebook coats $3. Which of the following graph represents the possible combinations of pens and notebooks that she may purchase?

Answers

Answer:

3p + 8n,    12p + 2n,    9p+4n,    6p+6n

8 columns bar graph.

Step-by-step explanation:

$2 = pen

$3 = notebook

This could be written as a bar graph in multiples of $6.00 along y axes.

3 pens + 8 notebooks. Then 12 pens + 2 notebooks.

Then 9 pens + 4 notebooks . Then 6 pens + 6 notebooks

3p + 8n,    12p + 2n,    9p+4n,    6p + 6n

3p = $6

8n = $24

12p = $24

2n = $6

9p = $18

4n = $12

6p = $12

6n = $18

and so on...

Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.

xy = 2

a. Find dy/dt, when x = 4, given that dx/dt = 13.
b. Find dx/dt, when x = 1, given that dy/dt = -9.

Answers

Answer:

a. [tex]\frac{dy}{dt} = -\frac{13}{8}[/tex]

b. [tex]\frac{dx}{dt} = \frac{9}{2}[/tex]

Step-by-step explanation:

To solve this question, we apply implicit differentiation.

xy = 2

Applying the implicit differentiation:

[tex]y\frac{dx}{dt} + x\frac{dy}{dt} = \frac{d}{dt}(2)[/tex]

[tex]y\frac{dx}{dt} + x\frac{dy}{dt} = 0[/tex]

a. Find dy/dt, when x = 4, given that dx/dt = 13.

x = 4

So

[tex]xy = 2[/tex]

[tex]4y = 2[/tex]

[tex]y = \frac{2}{4} = \frac{1}{2}[/tex]

Then

[tex]y\frac{dx}{dt} + x\frac{dy}{dt} = 0[/tex]

[tex]\frac{1}{2}(13) + 4\frac{dy}{dt} = 0[/tex]

[tex]4\frac{dy}{dt} = -\frac{13}{2}[/tex]

[tex]\frac{dy}{dt} = -\frac{13}{8}[/tex]

b. Find dx/dt, when x = 1, given that dy/dt = -9.

x = 1

So

[tex]xy = 2[/tex]

[tex]y = 2[/tex]

Then

[tex]y\frac{dx}{dt} + x\frac{dy}{dt} = 0[/tex]

[tex]2\frac{dx}{dt} - 9 = 0[/tex]

[tex]2\frac{dx}{dt} = 9[/tex]

[tex]\frac{dx}{dt} = \frac{9}{2}[/tex]

The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?

Answers

Answer:

77 boxes each

Step-by-step explanation:

1,000/13

Answer:

Step-by-step explanation:

1000/13= 76.9 .... Each girl needs to sell 77 boxes

Convert: (a) 250 liters to kiloliters, (b) 4.5 liters to milliliters.​

Answers

Answer:

a) 0.25 kl

b) 4500 ml

Step-by-step explanation:

a)

1 kiloliter = 1000 liters

x kiloliters = 250 liters

    [tex]x = \frac{250}{1000} = 0.25 \ kiloliters[/tex]

b)

1 liter         = 1000 milliliters

4.5 liters   = x

  [tex]x = 4.5 \times 1000 = 4500 \ milliliters[/tex]

Someone please help T.T I need help ASAP

Answers

Step-by-step explanation:

Given that,

The quadratic equation that models the ball's height above the ground h, t seconds after it was thrown is given by :

[tex]h=-16t^2+108t+28[/tex] ...(1)

(a) For maximum height, put dh/dt = 0

So,

[tex]\dfrac{d(h)}{dt}=\dfrac{d}{dt}(-16t^2+108t+28)=0\\\\-32t+108=0\\\\t=\dfrac{108}{32}=3.37\ s[/tex]

Put the value of t in equation (1).

So,

[tex]h=-16(3.37)^2+108(3.37)+28\\\\h=210.24\ ft[/tex]

(b) When the ball reaches the ground,

h = 0

So,

[tex]-16t^2+108t+28=0\\\\t=7\ s[/tex]

So, the ball hits the ground in 7 seconds.

Choose the fraction that is greater than 5/9

Answers

Answer:  Choice D)   14/23 > 5/9

===========================================

Convert each fraction shown to decimal form

5/9 = 0.555557/16 = 0.43750  8/15 = 0.53333 6/11 = 0.54545 14/23 = 0.60870

With the exception of 7/16 = 0.43750, the other decimal values are approximate.

From that list, we can see the decimal representations of 7/16, 8/15, and 6/11 are all smaller than the decimal version of 5/9. So we rule out choices A, B, and C. The answer must be choice D.

Sure enough, 14/23 = 0.60870 is indeed larger than 5/9 = 0.55555

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

We can show this another way:

First off, assume that 14/23 and 5/9 are equal. We'll cross multiply and show a contradiction happens

14/23 = 5/9

14*9 = 23*5

126 = 115

The contradiction happens since we should get the same value on both sides if the two sides were equal, but they're not equal.

If we replace each equal sign with a greater than sign, then we get,

14/23 > 5/9

14*9 > 23*5

126 > 115

You can think of it like working backwards up the chain.

Correct answer plz. 15 points. Reported for wrong answer. Thx

Answers

Third option is the right answer:  

−2x + 4y ≥ 0

Jared has 20 flowers. He wants to plant all of the flowers in equal rows in his garden. What are the different ways Jared can arrange the flowers in equal rows? Solve this problem any way you choose.

Answers

Answer:

5 rows of 4 each

4 rows of 5 each

2 rows of 10 each

10 rows of 2 each

1 row of 20

20 rows of 1

Step-by-step explanation:

Solve the inequality 4x – 7 < 5

Answers

Answer:

x < 3

Step-by-step explanation:

Given

4x - 7 < 5 ( add 7 to both sides )

4x < 12 ( divide both sides by 4 )

x < 3

PLEASEEEEE HELPPPPPPPP

Answers

Answer:

f(-5) = -195

Step-by-step explanation:

Given that,

[tex]f(x)=x^3-2x^2+3x-5[/tex] ....(1)

and

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

We need to find the value of f(-5).

Put x = -5 in equation (1).

[tex]f(-5)=(-5)^3-2(-5)^2+3(-5)-5\\\\=-195[/tex]

So, the value of f(-5) is equal to (-195).

HELP!! I don’t know part c or d and I need to know if part a and b are correct thanksss

Answers

Answer:

d=67257

c=93

Step-by-step explanation:

Triangles A B C and D E F are shown. Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F. What are the rigid transformations that will map △ABC to △DEF? Translate vertex A to vertex D, and then reflect △ABC across the line containing AC. Translate vertex B to vertex D, and then rotate △ABC around point B to align the sides and angles. Translate vertex B to vertex D, and then reflect △ABC across the line containing AC. Translate vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles.

Answers

Answer:

The answer is D. Translate vertex A to Vertex D, and then rotate triangleABC around point A to align the sides and angles

Translating vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles will bring about a rigid transformation, the correct answer is D.

What are Rigid transformation?

The transformations that preserves the Euclidean distance between points. This could be as a result of the any transformation.

Triangle ABC and DEF is shown,

Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.

To map ΔABC to ΔDEF , the  vertex A will be translated to vertex D, and then the triangle is rotated around point A.

This will maintain the distance between the points when vertex A to D.

To know more about Rigid transformation

brainly.com/question/1462871

#SPJ5

Tích các nghiệm của phương trình Log(x-1)²=2 là

Answers

Answer:

-99

Step-by-step explanation:

Log(x-1)²=2

Log(x-1)²=Log(100)

(x-1)²=100

x-1=10 and x-1=-10

x₁=11     and x₂=-9

x₁ × x₂ = 11 × (-9) = -99

If f(x) = 2x + 7 and g(x) = 3x - 6, then what is (f + g)(x)?

Answers

9514 1404 393

Answer:

  (f+g)(x) = 5x +1

Step-by-step explanation:

Substitute the given expressions and simplify.

  (f+g)(x) = f(x) +g(x)

  (f+g)(x) = (2x +7) +(3x -6) = (2x +3x) +(7 -6)

  (f+g)(x) = 5x +1


Given that yx is a diameter of V, find mZVX if mYVZ=(15r -1)", mWVX =(8x- 2).mUVW =(7x +15).
and mYVU = 3x + 5).
A 32
B 45°
C 70
D. 134

Answers

C

Answer: the answer is (C)

i need help pleasee

Answers

I try this equestion look this is correct or wrong

Determine whether the following event is mutually exclusive or not mutually exclusive.

Choosing a student who is a history major or a business major from a nearby university to participate in a research study. (Assume that each student only has one major.)

Answers

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Both A and B are exclusive to each other because of P(A and B) = 0.

Therefore, Let A be the major in mathematics and B be the major in philosophy.

Each student is required to only have one major.

No student does have two significant students.

Therefore, the likelihood of both the major pupils being zero.

This is P(A and B) = zero

Therefore, The events are exclusive to each other.

A family uses 15 gallons of milk every 3 weeks. At that rate, about how many gallons of milk will they need to purchase in a year’s time?

Give your answer as a whole number.
ONLY ANSWER IF YOU KNOW THE ANSWER

Answers

Answer:

87 gallons

Step-by-step explanation:

5 gallons: 3 weeks = x gallons: 52 weeks

5/3 = x/52

3x = 260

x= 86.6, about 87 gallons

Find the Diameter of the circle, whose radius is 17 cm.

Answers

Answer:

34 cm

Step-by-step explanation:

The radius is half of the diameter, so 17 cm is half of 34 cm.

Diameter = 34 cm

Giải phương trình
X^2 +2x-3=?

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \:(x - 1)(x + 3) }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {x}^{2} + 2x - 3[/tex]

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

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] = x(x + 3) - 1(x + 3)[/tex]

Taking the factor [tex](x+3)[/tex] as common,

[tex] = (x - 1)(x + 3)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

If l=10 b=5 and h=2, find the values of 2(lb+bh+lh)​

Answers

Answer:

160

Step-by-step explanation:

[tex]2((10)(5)+(5)(2)+(10)(2))\\2(50+10+20)\\2(80)\\160[/tex]

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{2(lb + bh + lh)}\\\\\large\textsf{= 2(10(5) + 5(2) + 10(2))}\\\\\large\textsf{10(5) = \boxed{\bf 50}}\\\\\large\textsf{= 2(50 + 5(2) + 10(2))}\\\\\large\textsf{5(2) = \boxed{\bf 10}}\\\\\large\textsf{= 2(50 + 10 + 10(2))}\\\\\large\textsf{50 + 10 = \boxed{\bf 60}}\\\\\large\textsf{= 2(60 + 10(2))}\\\\\large\textsf{10(2) = \boxed{\bf 20}}\\\\\large\textsf{= 2(60 + 20)}\\\\\large\textsf{60 + 20 = \boxed{\bf 80}}\\\\\large\textsf{= 2(80)}\\\\\large\textsf{= \boxed{\bf 160}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 160}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Consider the following statement. For every integer m, 7m + 4 is not divisible by 7. Construct a proof for the statement by selecting sentences from the following scrambled list and putting them in the correct order. Suppose that there is an integer m such that 7m + 4 is divisible by 7.Subtracting 4m from both sides of the equation gives 7 = 4k − 4m = 4(k − m).By definition of divisibility 4m + 7 = 4k, for some integer k.By definition of divisibility 7m + 4 = 7k for some integer k.Dividing both sides of the equation by 7 results in 4 7 = k − m.Dividing both sides of the equation by 4 results in 7 4 = k − m.But k − m is an integer and 7 4 is not an integer.Suppose that there is an integer m such that 7m + 4 is not divisible by 7.But k − m is an integer and 4 7 is not an integer.Subtracting 7m from both sides of the equation gives 4 = 7k − 7m = 7(k − m).

Answers

Answer:

A proof for the statement by selecting the given sentences are as follows;

Suppose there is an integer m such that 7·m + 4 is divisible by 7

By definition of divisibility, 7·m + 4 = 7·k for some integer k

Subtracting 7·m from both sides of the equation gives 4 = 7·k - 7·m = 7·(k - m)

Dividing both sides of the equation by 7 results in 4/7 = k - m

But k - m is an integer and 4/7 is not an integer

Therefore, for every integer m, 7·m + 4 is not divisible by 7

Step-by-step explanation:

The given equation can be expressed as follows;

Where 7·m + 4 is divisible by 7, we have;

7·m + 4 = 7·k

Where 'k' is an integer

We have;

7·m + 4 - 7·m = 4 = 7·k - 7·m

∴ k - m = 4/7, where k - m is an integer

∴ k - m cannot be equal to 4/7, from which we have;

7·m + 4 cannot be divisible by 7.

José tiene 30 años menos que su padre y 27 más que su hijo. entre los 3 suman 135 años ¿ cuántos años tiene cada uno?​

Answers

Answer:

44 años tiene jose . el padre 74 y el hijo 17 años.

Step-by-step explanation:

Lol, can someone help me please?

Answers

Answer:

1. 11/26 because you add all of the numbers together and thats how i got 26 then you simplify 11/26 which is the simplist form.

2. 5/13 because you simplify 10/26 which equals 5/13

3. 5/26 because it is already in the simplist form

Step-by-step explanation:

~ Hope this helped u Kaitilyn :)))))

Answer:

11/26 is red, 10/26 is yellow, and 5/26 is blue

Step-by-step explanation:

So, to find the probabilities, we must figure out the total amount of frequency found. To do this lets add up the frequencies of red blue and yellow:

11+10+5 = 26

So our total is 26.

This will be the denominator of our fractions. The numerator will be the amount of the specific freuqency we are looking at.

So reds would be:

11/26 - Frequency of red over Total frequency = Ratio

10/26 - Frequency of red over Total frequency = Ratio

5/26 - Frequency of red over Total frequency = Ratio

So these are your 3 answers!

Hope this helps!

A metal cube dissolves in acid such that an edge of the cube decreases by 0.53 mm/min. How fast is the volume of the Cube changing when the edge is 6.3 mm?

Answers

Answer:

The volume of the cube is decreasing at a rate of 63.1071 cubic millimeters per minute.

Step-by-step explanation:

The volume of a cube is given by:

[tex]V=s^3[/tex]

Implicitly differentiate the equation with respect to time t:

[tex]\displaystyle \frac{dV}{dt}=3s^2\frac{ds}{dt}[/tex]

The edge of the cube decreases by 0.53 mm/min. Therefore, ds/dt = -0.53.

When the edge is 6.3 mm, s = 6.3.

Substitute and evaluate:

[tex]\displaystyle \frac{dV}{dt}=3(6.3)^2\left(-0.53\right)=-63.1071\text{ mm}^3/\text{min}[/tex]

The volume of the cube is decreasing at a rate of 63.1071 cubic millimeters per minute.

A communications company has developed three new designs for a cell phone. To evaluate consumer response, a sample of n = 120 college students is selected and each student is given all three phones to use for one week. At the end of the week, the students must identify which of the three designs they prefer. The distribution of preference is as follows:

Design 1 Design 2 Design 3
54 38 28

Required:
Do the results indicate any significant preferences among the three designs?

Answers

Answer:

There is significant preference among the 3 designs

Step-by-step explanation:

Given :

Design 1 Design 2 Design 3

54 38 28

H0 : no significant preference among the 3 designs

H1 : The preference among the designs are different

To test, we use the Chisquare test for independence ;

χ² = (observed - Expected)² / Expected

The sample size, n = 120

Expected = 120 / number of designs = 120 / 3 = 40

(54-40)^2/ 40 + (38 - 40)² / 40 + (28 - 40)² / 40

= 4.9 + 0.1 + 3.6

= 8.6

The Chisquare critical value at 95% = 5.99

Since ;

|χ² critical| < χ² statistic ; we reject the null and conclude that there is significant preference among the 3 designs

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