Consider the functions f(x) = 12^x and g(x)= -2(12)^x. Which transformations must be applied to function F to produce the graph of function g?

SELECT ALL CORRECT ANSWERS

Vertical stretch
Vertical Shift
Vertical Compression
Reflection over the x-axis
Horizontal Shift

Consider The Functions F(x) = 12^x And G(x)= -2(12)^x. Which Transformations Must Be Applied To Function

Answers

Answer 1

Answer:

Step-by-step explanation:

g(x) = -2f(x)

Vertical stretch                       by virtue of the factor 2

Reflection over the x-axis      by virtue of the factor -1

Answer 2

The transformations which must be applied to function F to produce the graph of function g are vertical stretch and reflection over the x-axis.

To transform the function f(x)=12ˣ into the function  g(x)=−2(12)ˣ

Since g(x) is multiplied by -2 compared to f(x), this represents a vertical compression.

The absolute value of the multiplier indicates the degree of compression/stretch.

The negative sign in front of 2(12)ˣ in g(x) reflects the graph over the x-axis. This means that the graph of g(x) is reflected below the x-axis compared to f(x).

Hence, vertical stretch and reflection over the x-axis are the transformations which must be applied to function F to produce the graph of function g.

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Related Questions

What is the number that is greater than 0.13 but smaller than 0.131

Answers

Answer:

any number between the two

for example: 0.1309, 0.1308, 0.1301, etc.

Step-by-step explanation:

hope this helped :)

Step-by-step explanation:

0.1308, 0.1309, 0.1301

If you have three apples, and Jamal takes two.... what color is Jamal?

Answers

Answer:

Black

Step-by-step explanation:

Consider this diagram of quadrilateral ABCD, which is not drawn to scale.

Answers

Answers: Choice B and Choice D.

[tex]\angle ABE \cong \angle CDE[/tex]  and [tex]\overline{AE} \cong \overline{CE}[/tex]

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

Explanation:

The tickmarks tell us which segments are congruent to one another. The segments with single tickmarks show that AE and CE are the same length. So this is why [tex]\overline{AE} \cong \overline{CE}[/tex]

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

The two triangles AEB and CED can be proven congruent through the use of the SAS theorem. From there, use CPCTC to conclude that the corresponding angles ABE and CDE are the same measure i.e. [tex]\angle ABE \cong \angle CDE[/tex]. They are alternate interior angles which helps lead to side AB being parallel to CD.

Answer:

B & D  or <ABE=<CDE, AE=CE

Step-by-step explanation:

I got it right on khan

Solve for x (13x + 2) (5x - 7) (3x - 4)


Thank you

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

As we know, sum of interior angles of a triangle is 180°

that is ~

[tex] \sf13x + 2 + 5x - 7 + 3x - 4 = 180[/tex]

[tex] \sf21x - 9 = 180 [/tex]

[tex] \sf21x = 180 + 9[/tex]

[tex] \sf x = \dfrac{189}{21} [/tex]

[tex] \sf x = 9 \degree[/tex]

Hence, value of x is 9°

Answer:

x = 9

Step-by-step explanation:

Sum of interior angles is 180:

(13x + 2) + (5x - 7) + (3x - 4) = 18021x - 9 = 18021x = 189x = 189/21x = 9

2
2
iw
Question 2 (1 point)
1) Listen
5
Opening an industry to international competition tends to:
O increase X-inefficiency.
O force lazy monopolists to increase efficiency.
O increase the incidence of lazy monopolists.
raise a monopolist's profit as the price is driven up.

Answers

Answer:

increse X-inefficiency is the answer

Step-by-step explanation:  im here to help

the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer to two decimal places

Answers

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = v[tex]i[/tex] t + [tex]\frac{1}{2}[/tex] a[tex]t^{2}[/tex]

d = distance      v[tex]i[/tex] = initial velocity (m/s)    

t = time (s)     a = acceleration (m/[tex]s^{2}[/tex])

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/[tex]s^{2}[/tex] since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + [tex]\frac{1}{2}[/tex] (9.81m/[tex]s^{2}[/tex])(t)

220.98m = (4.905m/[tex]s^{2}[/tex])(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

Evaluate the expression
“-8.56x + 31.7 for x= 75.6”

A. -615.436
B. 614.436
C. 615.436
D. -614.436

Answers

Answer:

Substitute

Step-by-step explanation:

x=75.6

-8.56(75.6) + 31.7=-615.436

Answer: -615.436

whats -6-10k if k=-1​

Answers

Answer:

The answer would be 4

Step-by-step explanation:

Calculate it

Answer:

4 is the answer.

Step-by-step explanation:

-6 - 10k

=> -6 - 10(-1)

=> -6 + 10

=> 4

Therefore, 4 is the answer.

Hoped this helped.

Simplify 1/3 (5x-8)+2/3x

Answers

Answer:

7x-8

  3

Step-by-step explanation:

Answer:

2 1/3x - 2 2/3

Step-by-step explanation:

1/3 x 5

1/3 x -8

and add 2/3x to the mix

so

1 2/3x - 2 2/3x + 2/3x = 2 1/3x - 2 2/3

Which of the following is a solution of 4x + 3x = 12?
(a) (4,0)
(b) (3,0)​

Answers

Answer:

B

Step-by-step explanation:

Given equation is 4x+3y = 12

(3,0) is a solution because

LHS =

⇛ 4(3)+3(0)

⇛ 12+0

⇛ 12

⇛ RHS

LHS = RHS

also read similar questions: Find the intercepts of the graph given the following equation 4x – 3y = 12 A (4,0) and (0,-3) B (-3,0) and (0,-4) (3,0) and (0,-4) D (3,0) and (0,4)...

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Which is a solution to the equation y=12-3x A.(4,3) C.(4,0) B.(-4,4) D.(0,4)....

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Three more than the product of 24 and Matt's height

Answers

Answer:

24m + 3 or (24 × m) + 3

Step-by-step explanation:

product = multiplying

matts height = variable

more than = addition

add together and that's your algebraic expression hope this helps :)

whats -3u + 5 if u=2​

Answers

Answer:

-1

Step-by-step explanation:

-3(2) = -6 + 5 = -1

Answer:

-1

Step-by-step explanation:

-3u + 5 =?

when u=2

= -3(2) + 5

= -6 + 5

= -1

Which statement is true about the value of 1-5/?
O It is the distance that -5 is from 0 on the number line.
O It is the distance that -5 is from 5 on the number line.
O It is less than 5.
0 It is greater than 5.

Answers

Answer:

O It is less than 5.

Step-by-Step

OK so, first u check if it has a negative. It does, so its at the left of 0. SO you know its less than.

Find NMC triangle's perimeter if BO:BK=1:3 and ABC triangle's perimeter is 96

Answers

Answer:

  80

Step-by-step explanation:

If we assume the triangles are similar and are isosceles, and that BK is an altitude, then we can work the problem.

Triangle OKN will be similar to triangle BKA, so ...

  AN : AK = BO : BK = 1 : 3

Then ...

  AN : AK : KC = 1 : 3 : 3

In terms of ratio units, ...

  AN = 1

  AC = 3+3 = 6

  NC = 6-1 = 5

This means NC : AC = 5 : 6. The triangle perimeters will have the same ratio.

  perimeter(NMC) = 5/6·perimeter(ABC) = 5/6·96

  perimeter(NMC) = 80

how do i solve for this?

Answers

Answer:

see explanation

Step-by-step explanation:

(16)

The mid segment ZW is half the sum of the parallel bases

ZW = [tex]\frac{38+20}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29

(17)

The lower base angles are congruent , so

∠ UYX = ∠ VXY = 35°

(18)

Any lower base angle is supplementary to any upper base angle , then

∠ VUY = 180° - ∠ UYX = 180° - 35° = 145°

(19)

[tex]\frac{UV+XY}{2}[/tex] = ZW

[tex]\frac{3x-1+7x+1}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )

10x = 20 ( divide both sides by 10 )

x = 2

Then

XY = 7x + 1 = 7(2) + 1 = 14 + 1 = 15

(20)

The legs are congruent , so

UY = VX

5a - 6 = 3a + 2 ( subtract 3a from both sides )

2a - 6 = 2 ( add 6 to both sides )

2a = 8 ( divide both sides by 2 )

a = 4

PLEASE HELP WILL GIVE BRAINLIEST AND 30 POINTS!!!!!

This is an assignment in Algebra 1 discussing growth and decay. Specifically car depreciation. Over the years car's prices go down. I basically had to calculate the percentage of how much this car's price dropped. So I calculated what it dropped every year now I need to do every month but I'm not sure how to do that.

First pic: the annual rate
Second pic: my annual rate calculations/percentages
Third pic: what I have so far for the monthly rate but its all wrong because my calculations don't match up but I think it's close

Answers

Answer:

Step-by-step explanation:

If the price is supposed to be dropping with each year, maybe your year/price chart would reflect that. Seems to me that the price rose between 2015 and 2016 and even by 2017 the value was still higher than it was in 2015.

I have no way of knowing how to fix this.

Let's ASSUME that the 2015 price was $71,445 and that the 2016 and 2017 prices are valid.

the decrease between 2015 and 2016 is (71445 - 68640) / 71445 = 0.03926

or 3.926%

the decrease between 2016 and 2017 is (68640 - 65945)/68640 = 0.03926

or 3.926%

so the price each year after new is

p = 71445(1 - 0.03926)ⁿ

or

71445(0.96074)ⁿ

where n is the number of years.

To get the monthly version, we divide the decrease by 12

p = 71445(1 - 0.03926/12)ˣ

or

p = 71445(1 - 0.00327)ˣ

or

p = 71445(0.99673)ˣ

where x is the number of months since new.

This may not be your exact answer, but the same method can be used if you get real numbers.

How do you do it i am very confused/ i just need the answer lol

Answers

Answer:

No question!

Step-by-step explanation:

Hi! Could you please insert a question so I could answer for you?

I would love to help!

need help with math probelem i will give you 5 stars and a good rating

Answers

Answer:

8 feet

Step-by-step explanation:

12 x 2 =24

40 - 24 = 16

16 /2 = 8

Hope it helps :)

Mark has a certain amount budgeted for dining out each month. Last month, the difference between the amount he budgeted and the amount he actually spent on dining out was less than -20 dollars.

Which of the following best describes this situation?
A.
Mark is under his budget by less than 20 dollars.

B.
Mark is under his budget by more than 20 dollars.

C.
Mark is over his budget by less than 20 dollars.

D.
Mark is over his budget by more than 20 dollars.

Answers

A. He used 20$ under his budget because he wanted to spend less then 20$ for dinner

What’s the 16th term for 32,27,22,17

Answers

Answer:

-43

Step-by-step explanation:

By staring at it for a while you can tell that you're losing 5 every step. You can write the succession as [tex]a_n = 32-5n[/tex] (please notice the first terms starts when [tex]n=0[/tex], not 1!). The 16th term happens at [tex]n=15[/tex]:

[tex]a_1_5=32-5(15) = -43[/tex]

Is 7,301,771 divisible by 6?​

Answers

[tex]\huge\boxed{Hi\: there!}[/tex]

[tex]\huge\mathfrak{Question:}[/tex]

Is 7,301,771 divisible by 6?

[tex]\huge\mathfrak{Answer:}[/tex]

No.

Remember, divisible by means the given number can be divided by a number without a remainder.

If we divide 7,301,771 by 6, we will get a remainder.

[tex]\huge\boxed{Therefore,\: 7,301,771 \: isn't \: divisible\: by 6.}[/tex]

[tex]\huge\mathfrak{Good\: luck!}\\\huge\bold {~CheerfulTeen}[/tex]

4. If Il k and k // m, then

Answers

if

t // kk // mthen t // m is correct answer

bcaz according to property of transitivity

An example of a transitive law is “If a is equal to b and b is equal to c, then a is equal to c.” There are transitive laws for some relations but not for others. A transitive relation is one that holds between a and c if it also holds between a and b and between b and c for any substitution of objects for a, b, and c.

Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work
3x + y = -2
y = 2x +3

Answers

The substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation or elimination method.

From the information given;

3x + y = -2      ----- (1)

y = 2x +3        ----- (2)

By using substitution method, we will replace the value of equation (2) into equation (1), by doing so, we have:

3x + (2x + 3) = -2

3x + 2x + 3 = -2

5x + 3 = -2

5x = -2 - 3

5x = - 5

x = -5/5

x = -1

From equation (2), let's replace the value of x = - 1 into equation (2);

y = 2x + 3

y = 2(-1) + 3

y = -2 + 3

y = 1

Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

Learn more about substitution method here:

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product of (x+2y^2)(2x-2y^2)

Answers

Answer:

Step-by-step explanation:

(x + 2y²)(2x - 2y²)

FOIL

First

x(2x) = 2x²

Outside

x(-2y²) = - 2xy²

Inside

2y²(2x) = 4xy²

Last

2y²(-2y²) = - 4y⁴

combine like terms

2x² + 2xy² - 4y⁴

Answer:

-4y^4 + 2xy^2 + 2x^2

Step-by-step explanation:

(x + 2y^2) (2x - 2y^2)

x(2x) + x(-2y^2) = 2x^2 - 2xy^2

2y^2(2x) + 2y^2(2y^2) = 2xy^2 + 4y^4

2x^2 - 2xy^2 + 4xy^2 - 4y^4

2x^2 + 2xy^2 - 4y^2

or

-4y^4 + 2xy^2 + 2x^2

Evaluate - 1 - ( - z ) where z = -2

Answers

Answer:

-3

Step-by-step explanation:

To solve you replace the -z with 2 because the -2=z not -z. With the z in parenthesis being negative it basically means invers so you would put the invers or opposite of -2 in the parentheses.

-1-(2)

-1+-2

=-3

The value of the expression -1 - (-z) where z = -2 is -3.

How to determine the value of the expression

To evaluate the expression -1 - (-z) where z = -2, follow these steps:

Replace z with -2 in the expression:

= -1 - (-(-2))

Simplify the double negative:

= -1 - (2)

Perform the subtraction:

= -3

So, the value of the expression -1 - (-z) where z = -2 is -3.

Learn more about Evaluate

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Help help help help help help math math

Answers

Answer:

4x+14 = 2(2x+7}

12x+6=6{2x+1}

Need help please and thank you.​

Answers

Answer:

[tex]log_4(\frac{1}{64})=-3[/tex]

Step-by-step explanation:

[tex]log_b(b^x)=x[/tex]

Let b = base and x = the exponent

    Looking at the equation given, we know the base (the number with the exponent) is 4, the exponent itself is -3, and the value is 1/64. Based on this information, fill in the formula and simplify any values.

[tex]log_4(4^{-3})=-3\\log_4(\frac{1}{64})=-3[/tex]

Therefore, the logarithmic form is [tex]log_4(\frac{1}{64})=-3[/tex].

Sara earns a basic salary of 14250 every month with an additional 12% commission on her sales. If Sara sold items worth AED 22264 last month, what was her total pay?
a. AED 16921.68
b. AED 24935.68
c. AED 1710
d. AED 2671.68

Answers

Answer:

A

Step-by-step explanation:

Commission: 22264*0.12=2671.68

Total pay: 14250+2671.68=16921.68

The total pay of Sara after adding the commission is: Option A:  AED 16921.68

How to find the net income?

Sara's total pay consists of her basic salary plus the commission on her sales.

Basic salary = AED 14250

Commission on sales = 12% of AED 22264

Commission = 0.12 * 22264

Now, calculate the commission:

Commission = 0.12 * 22264 = AED 2671.68

Total pay = Basic salary + Commission

Total pay = 14250 + 2671.68 = AED 16921.68

So, Sara's total pay is AED 16921.68

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Every Thursday, Matt and Dave's Video Venture has “roll-the-dice" day. A customer may choose to roll two fair dice and rent a second movie for an
amount (in cents) equal to the numbers uppermost on the dice, with the larger number first. For example, if the customer rolls a two and a four, a
second movie may be rented for $0.42. If a two and two are rolled, a second movie may be rented for $0.22. Let X represent the amount paid for a
second movie on roll-the-dice day. The expected value of X is $0.47 and the standard deviation of X is $0.15.
If a customer rolls the dice and rents a second movie every Thursday for 30 consecutive weeks, what is the approximate probability that the total
amount paid for these second movies will exceed $15.00?

I saw other questions for this but why is the standard deviation 0.15*sqrt of 30 and not 0.15*30 because I thought this is a linear transformation

Answers

Using the normal distribution, it is found that there is a 0.1357 = 13.57% probability that the total  amount paid for these second movies will exceed $15.00.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard error is [tex]s = \sigma\sqrt{n}[/tex]

In this problem:

Mean of $0.47, standard deviation $0.15, hence [tex]\mu = 0.47, \sigma = 0.15[/tex]30 instances, hence [tex]n\mu = 30(0.47) = 14.1, s = 0.15\sqrt{30} = 0.8216[/tex]

The probability is 1 subtracted by the p-value of Z when X = 15, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering the n instances:

[tex]Z = \frac{X - n\mu}{s}[/tex]

[tex]Z = \frac{15 - 14.1}{0.8216}[/tex]

[tex]Z = 1.1[/tex]

[tex]Z = 1.1[/tex] has a p-value of 0.8643.

1 - 0.8643 = 0.1357.

0.1357 = 13.57% probability that the total  amount paid for these second movies will exceed $15.00.

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help me my shawtys
6 − x = −12

Answers

Answer:

D.18

Step-by-step explanation:

6-x=-12

-x=-12-6

-x=-18   divide both sides by -1

x=18

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