G is a transformation of f. The graph below shows f as a solid blue line and g as a dotted red line. What is the formula of g in terms of f?

G Is A Transformation Of F. The Graph Below Shows F As A Solid Blue Line And G As A Dotted Red Line.

Answers

Answer 1

Answer: f(x-2) which is choice A.

The blue f(x) curve is shifted 2 units to the right to get the red g(x) dashed curve.

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

Explanation:

For now, ignore the red dashed curve g(x). Imagine that the blue curve f(x) is fixed in place. If we shifted the xy axis to the left 2 units, then this gives the illusion the blue curve is moving even though the curve is fixed in place.

The operation "shift xy axis 2 units to the left" means each x input is 2 units smaller. So each x input is now x-2.

Therefore, going from f(x) to f(x-2) will shift the blue curve 2 units to the right to land perfectly on the red dashed g(x) curve.


Related Questions

consider the lines and the transversal drawn in coordinate plane below.

Answers

Answer:

i dont know man

Step-by-step explanation:

i dont know

Solve the inequality and write the solution in interval notation:
x-6/x+5 <0

(-5, 6)

[-5, 6)

(-infinity,-5) U [6,infinity)

(-infinity,-5] U (6,infinity)

Answers

Answer:

A

Step-by-step explanation:

Firstly x cannot be -5 because the expression on th left would be undefined so it's only between choices a and c.

Create a number line with makes the expression on left 0 and undefined...so at 6 and -5 this happens.

-------(-5)--------(6)---------

Let's test the 3 intervals by choosing a value from that interval to see if all numbers from that interval will make the expression on left less than 0.

Number before -5 is -6:

(-6-6)/(-6+5)=-12/-1=12 >0 so this interval is not a part of our solution.

Number between -5 and 6 is 0:

(0-6)/(0+5)=-6/5<0 so this interval is a part of our solution

Number after 6 like 7:

(7-6)/(7+5)=1/12>0 so this interval is not a part of our solution.

The winner is everything between-5 and 6 so answer is A.

The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 28t2 – 24t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?

A. 0 months
B. 2 months
C. 4 months
D. 6 months

Answers

In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when [tex]t > 0[/tex]

Profit after t months:

[tex]P(t) = t^4 - 10t^3 + 28t^2 - 24t[/tex]

0 months:

This is P(0). So

[tex]P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0[/tex]

1 month:

This is P(1). So

[tex]P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5[/tex]

2 months:

This is P(2). So

[tex]P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0[/tex]

3 months:

This is P(3). So

[tex]P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9[/tex]

4 months:

This is P(4). So

[tex]P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32[/tex]

5 months:

This is P(5). So

[tex]P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45[/tex]

6 months:

This is P(6). So

[tex]P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0[/tex]

7 months:

This is `P(7). So

[tex]P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175[/tex]

After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.

For another example of a function involving numeric value, you can check https://brainly.com/question/24231879

What is the image of (1, -6) for a 90° counterclockwise rotation about the origin?

(-6, -1)

(-1, -6)

(-1, 6)

(6, 1)

Answers

Answer:

D

Step-by-step explanation:

As the counter clockwise rule is A(x,y) becomes A'(-y,x).

So (1, -6) becomes (6, 1)

Hope it helps you

Trey took 5/4
hours to clean the bedroom. He took1/2
hours to clean the den. How much longer did it take Trey to clean the bedroom?
Write your answer as a mixed number in simplest form.

Answers

Answer:

3/4 more hours

Step-by-step explanation:

Hours taken to clean bedroom = 5/4

Hours taken to clean den = 1/2

How much more = 5/4 - 1/2

5-2/4 (common denominator)

3/4 more hours (It's a propper fraction, so we can't write it as a mixed number)

Answer from Gauthmath

In how many ways can a
television programming director
schedule six different
commercials in the six time slots
allocated to commercials during a
1-hour program?
n!
Note: „P,
(n-r)!
Please HELP ME!!!!!!

Answers

Answer:

720

Step-by-step explanation:

Using the equation given

[tex]\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720[/tex]

Calculate the sum of the first 30 terms in the sequence that begins with 70,65,60

Answers

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle \Large \boldsymbol{} a_1=70 \ ; \ d=-5 \\\\S_n=\frac{a_1+a_n}{2} \cdot n \ ; \ a_n=a_1+(n-1)d \Longrightarrow \\\\\\ S_{30}=\frac{70+70-29\cdot5}{2} \cdot 30 =-75 \\\\\\Answer: S_{30}=-75[/tex]

10. Two planes are flying one directly behind the other. Both planes are at an alttude of 1.7 miles. The angle
of depression to the airport from the plane closer to the airport is 58. The angle of depression to the
airport from the plane farther from the airport is 37. What is the distance between the two planes to the
nearest tenth of a mile?
A 1.0
B 23 -
C 12
D Not here

Answers

It’s B trust me I have done this before

(⅔)-⁴ (two over three to the power minus 4)​

I need answer asap pleaseeeee

Answers

Answer:

81/16

Step-by-step explanation:

(⅔)-⁴

81/16

= 5.0625

HELP ASAP!!!
THANK YOU!!!!

Answers

Answer:

V = 56 cm^3

Step-by-step explanation:

Volume is given by

V = l*w*h where l is length w is width and h is height

V = 7*4*2

V = 56 cm^3

Answer:56

Step-by-step explanation:

The formula for a rectangular prism is V=whl

V=(7)(4)(2)

7 times 4 is 28

28 times 2 is 56

when a pen is sold at a discount of 15%.There is a gain of rs 10.But if it is sold at 25% discount there is a loss of rs 2.Find the Mark price of the pen.​

Answers

The mark price of the pen is 120 rs

The first step is to write out the parameters given the question

Discount= 15%

Gain= rs 10

Discount= 15%

loss= rs

When a pen is sold at a discount of 15% there is a gain of rs 10

When the pen is sold at 25% discount there is a loss of rs 2

The mark price of the pen can be calculated as follows

15% = c.p + 10 rs

25 % = c.p - 2 rs

25%-15% = 10 rs +2 rs

10% = 12 rs

10/100 = 12 rs

0.1= 12 rs

12/0.1

= 120 rs

Hence the mark price of the pen is 120 rs

Please see the link below for more information

https://brainly.com/question/17109020?referrer=searchResults

Mark Price: RS. 120

The Gain Function is the difference between Resulting Price, which is the Mark Price including Discount Rate, and the Reference Price, where positive result represents Net Gain, as negative result represents Net Loss. Gain Function is described below:

[tex]G = \left(1-\frac{r_{D}}{100} \right)\cdot P_{M}-P_{R}[/tex] (1)

Where:

[tex]G[/tex] - Gain function, in monetary units.

[tex]r_{D}[/tex] - Discount rate, in percentage.

[tex]P_{M}[/tex] - Mark price, in monetary units.

[tex]P_{R}[/tex] - Reference price, in monetary units.

The Mark Price of the pen is the price shown on the label of the product, whereas the Reference Price is the purchase cost of the product from provider.

Based on what it is written on statement we have the following system of linear equations:

1) When a pen is sold at a discount of 15 %. There is a gain of RS. 10: ([tex]G = 10[/tex], [tex]r_{D} = 15[/tex])

[tex]\left(1-\frac{15}{100} \right)\cdot P_{M} - P_{R} = 10[/tex] (2)

2) But if it is sold at 25 % discount there is a loss of RS. 2: ([tex]G = -2[/tex], [tex]r_{D} = 25[/tex])

[tex]\left(1-\frac{25}{100} \right)\cdot P_{M} - P_{R} = -2[/tex] (3)

The solution of the resulting system of linear equations is:

[tex]P_{M} = 120[/tex], [tex]P_{R} = 92[/tex]

The mark price of the pen is RP. 120.

Sally is serving lemonade to four friends. She is serving 4/7 cup per person.

Estimate how much lemonade she needs. Then calculate exactly how much she needs. What is the difference between the estimate and actual amount?

pls help, :) ​

Answers

Answer:

oi ngl levi is hawt I like your pfp ^^

Step-by-step explanation:

my name is Riley

Select the correct answer.

The variable b varies directly as the square root of c. If b= 100 when c = 4, which equation can be used to find other combinations of band c?

Answers

Step-by-step explanation:

b varies as √c

b=kc

divide both side by c

k=b/c

k=100/4

k=25

the equation is:

25=b/c

Help please I don’t understand this

Answers

Answer:

x=-2

sorry i messed up coord val :/

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

a parabola  is symmetric (has a mirror image)

a parabola has ONE vertex (a highest or lowest point).

thus a line that goes through the vertex is it's axis of symmetry.

x = 5 , x=99, x=102 are vertical lines that intersect the x axis no matter what the y value is....

your axis of symmetry is a line that looks like  X= SOMETHING

the "something" is the X value of the vertex, which is (-2,3)

this the equation x = -2 is the answer ... see the image

The width, w, of a rectangular rug is 4 less than its length, L . If the perimeter of the rug is 120 square feet, which equation could be used to find the dimensions of the rug?
a. L(4-L) = 120
b. L(L-4) = 120
c. 2(L-4) + 2L = 120
d. 2(4-L) + 2L = 120
Helpp please and thank u :')

Answers

Answer:

b

Step-by-step explanation:

2) John saved $5 in the first week of a year and then increased her weekly
savings by $1.75. If the nth week, her weekly savings become $20.75, find n.

Answers

Answer:

n = 9

Step-by-step explanation:

20.75 = 1.75n + 5

20.75 - 5 = 1.75n

15.75 = 1.75n

-------     -------

1.75       1.75

  9    =     n

the market price of an article is 150000 it is sold while going to 15% discount and made by profit 1500 find the cost price of motorcycle​

Answers

Answer:

126,000

Step-by-step explanation:

150,000 * .15 = 22,500

150,000 - 22,500= 127,000

127,000 - 1500 = 126,000

Solve for x. X/5-x/6=1/3 x = 10 x = 1/90 x = 1/10

Answers

Answer:

x=10

Step-by-step explanation:

I hope this will help you

HELPPPP PLSSSS Which is true about the polynomial ? It is a binomial with a degree of 2. It is a binomial with a degree of 3. It is a trinomial with a degree of 2. It is a trinomial with a degree of 3.

Answers

i am not getting it what are you asking

suppose you roll to standard number cubes. let event a be rolling a 4 on the first die and let event b be rolling a 3 on the second die. are a and b independent events? are a and b mutually exclusive events. explain.

Answers

Answer:

The events are independent and are not mutually exclusive.

Step-by-step explanation:

Two events A and B are independent if the outcome of each of them does not affect the outcome of the other.

And two events are mutually exclusive if these can't occur at the same time.

Here the events are:

a = rolling a 4 on the first die

b = rolling a 3 on the second die.

Becuase, these are number cubes, we know that the outcome of one die has no impact in the outcome of the other die.

And because each outcome is on a different die, we can conclude that these events are independent.

(rolling a 4 in the first die does not change the probability of getting a 3 when we roll the second die).

Now, the events are mutually exclusive?

No, we can roll both dices and get a 3 in the first one and a 4 in the second one, so these events can happen in the same time.

Answer:

YES.

Step-by-step explanation:

The event rolling a number '4' and the event rolling a number '3' are mutually exclusive events because both of them cannot occur at the same time.

Just took quick check

write 7 pi divided by 60 in degrees

Answers

Answer:

You have reached the concluding section of our information about (7/60)×π rad to deg.

7pi/60 rad = 21°.

The radian measure is the standard unit of measure in the areas of math involving a circle like the sine and cosine function, just to name two trigonometric functions.

Using our calculator, formula and information, you have everything for changing the angle measurement at your disposal.

If you have found our post searching for 7pi/60 radian to degrees or a similar term, then you have gotten your answer as well: 7pi/60 rad ⇔ 21°.

Answer:210

Step-by-step explanation: took the test

Plz help me with this thank you

Answers

Answers:

One possible equation to solve is tan(x) = 4/15That solves to roughly 15 degrees

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

Explanation:

Refer to the diagram below.

The segment AB is the player's height of 6 ft.

The segment CD is the hoop's height, which is 10 ft.

There is a point E on CD such that rectangle BACE forms. This will help us form ED later.

Angle EBD is what we're after, which I'll call x.

Since the free throw line is 15 ft from the basket, this means segments EB and AC are 15 ft each.

In rectangle BACE, the side EC is opposite AB. So both of those sides are 6 ft each.

Since CD = 10 and EC = 6, this must mean ED = CD-EC = 10-6 = 4.

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

To summarize, we found that ED = 4 and EB = 15.

We'll focus our attention entirely on triangle EBD

We have two known legs of the triangle, specifically the opposite and adjacent sides.

So we'll use the tangent ratio.

tan(angle) = opposite/adjacent

tan(B) = ED/EB

tan(x) = 4/15 .... is the equation to solve

x = arctan(4/15) .... same as inverse tangent or [tex]\tan^{-1}[/tex]

x = 14.931417 ..... make sure to be in degree mode

x = 15 ..... rounding to the nearest whole degree

So that unknown angle in the diagram is approximately 15 degrees

helpppppppppppppppppppppppppppppp

Answers

The answer would be c

Answer:

D

Step-by-step explanation:

because the new number is changing to a new and all old is ready.

find the volume of each figure. Round to the nearest tenth if necessary.​

Answers

Answer:

112

Step-by-step explanation:

The volume is given by l*b*h=4*4*7=112

Determine the constant of variation for the direct variation given. (0, 0), (3, 12), (9, 36)
12
4
3

Answers

Answer:

4

Step-by-step explanation:

y = kx

Use point (3, 12).

12 = k * 3

k = 12/3 = 4

y = 4x

Answer: 4

Divide y by x:

12/3 = 4

36 / 9 = 4

The constant of variation is 4

please answer will give brainliest

Answers

Answer: 29152332 ≡ 0 (mod 3)

Step-by-step explanation:

In modular arithmetic, there is the form a ≡ b (mod m) where b is the remainder.

To solve this problem, we want to divide 29152332 by 3 and find the remainder.

29152332 ÷ 3 = 9717444

Since we get an integer with no remainder, we know the answer is 29152332 ≡ 0 (mod 3).

What is the height, x, of the equilateral triangle shown?

Answers

Answer:

B

Step-by-step explanation:

- Divide the base by 2

10 / 2 = 5 in

- multiply by √3

5√3 in

What is the value of y?

Answers

Answer:

C, 40 degrees

Step-by-step explanation:

All the angles of a triangle add to 180 degrees according to the Triangle Sum Theorem.

Since all angles sum to 180, we can set all the values to add to 180.

We have:

[tex]2y+y+10+50=180[/tex]

Combining like terms, we have:

[tex]3y+60=180[/tex]

Subtracting 60 from both sides gets us

[tex]3y=120[/tex]

Dividing by 3 from both sides equals

[tex]y=40[/tex]

Answer:

I think the value of y is 40

Step-by-step explanation:

Here, 2y+ y+ 10+50=180°( sum of all angles of triangle)or, 3y+ 60=180or, 3y=180-60or, 3y=120or, y= 120÷3:.y= 40

Please help ASAP!!!!

Answers

Answers:  (4, 2) and (8, 2)

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

Explanation:

The two points mentioned in bold are midpoints of segments AB and AC respectively.

To find the coordinates of a midpoint, you add up the x coordinates and divide by 2. Do the same with the y coordinates.

For example, points A and B are at (7,6) and (1,-2)

If we add up the x coordinates and divide by 2, then we get (7+1)/2 = 4. Do the same for the y coordinates to get (6+(-2))/2 = 2. So that's how (4,2) is the midpoint of segment AB. You'll use similar logic to find that (8,2) is the midpoint of segment AC.

A slight alternative is that once you find one midpoint is (4,2), you can draw a horizontal line until you reach (8,2). We're using the idea that the midsegment is parallel to BC which is also horizontal.

What is the initial value of 34.2 x 3^x

Answers

Initial value is your y intercept, and to find that you just need to substitute 0 for x. Anything to the power of 0 is just 1. So you get 34.2(1), which means that your initial value is 34.2.

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