Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answer:

Step-by-step explanation:

Method

Take the inverse Cos of both sides. That will give you the angle on the left.

From there you can solve for t

cos-1(1/11) = cos-1 cos ((2pi/3)t)

1.4798 = 2*pi*t/3                              Multiply both sides by 3/2

1.4798 * 3/2 = (2pi*t/3)*3/2

2.2196 = 2*pi*t                                 Divide both sides by 2*pi

2.2196 / (2*pi) = t

t = .3534

This was done by setting my calculator to radians. 1.4798 is a radian measure.

The probability that the next customer will pay with a debit card or a credit card is 12%.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next customer would pay with a debit card or a credit card = (number of customers that paid with a debit card + number of customers that paid with a credit card) / total number of customers

(8 + 2)/ 83 = 0.12 = 12%

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Answer:

Step-by-step explanation:

Givens

Perimeter = 80 feet

side 1 = n

side 2 = 3n + 7

side 3 = 3n + 3

Formula

Side 1 + side 2 + side 3 = 80

Solution

Substitute the length for each side into the equation

n + 3n + 7 + 3n + 3 = 80

7n +10 = 80                            Subtract 10 from both sides

7n + 10 - 10 = 80 - 10             Combine

7x = 70                                   Divide by 7

7x/7 = 70/7                             Combine

x = 10

Answer

Side 1 = n = 10

Side 2 = 3n + 7 = 3*10 + 7 = 37  

Side 3 = 3n + 3 = 30 + 3 = 33

The bottle that holds more water has the larger volume

Beau's water bottle holds more water

The given parameters are:

Drew

Beau

The volumes of their bottles is calculated using:

V = πr^2h

So, we have:

Drew = 3.14 * (3/2)^2 * 7

Drew = 49.46

Beau = 3.14 * (2)^2 * 9

Beau = 113.04

By comparison, 113.04 is greater than 49.46

Hence, Beau's water bottle holds more water

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✿————✦————✿

Answer: D

✿————✦————✿

Answer:

6x-3y=12

+3y

6x=3y+12

divide by 3

2x=y+4

-4

y=2x-4

Hope This Helps!!!

Answer:

the answer is option b because the sets in option b have an average of two and above

Answer:

the numbee from left to right :

-1.5

-0.25

0.75

1.25

2.25

Answer:

-3/2, -15%, 0.80, 143%, 2 1/4

Step-by-step explanation:

Convert the fractions into decimals:

2 1/4 = 2.25

-15% = -0.15

143% = 1.43

-3/2 = -1.5

0.80 = 0.80

The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4

Hope this helps :)

Answer:

20.1168

Step-by-step explanation:

Step-by-step explanation:

[tex] area \: of \: a \: circle \: or \: circular \: object \: = \pir^{2} \\ \: [/tex]

Answer:

1386cm^2.

Step-by-step explanation:

Radius of a circle = diameter / 2

= 42cm /2

= 21cm.

Area = (3.142 *21*21)cm^2

= 1386cm^2

To convert into metres:

=1386/100

=13.86m^2

Answer:

Length: 17 in, Width: 12 in

Step-by-step explanation:

Let l=length and w=width

l=w+5

2(w+5)+2w=58

4w=48

w=12, l=17

Answer:

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, According to the Question :

⠀

[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ 4x = 48}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar[/tex]

⠀

Therefore,

⠀

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}[/tex]

⠀

Therefore,

⠀

Answer:

9/20

Step-by-step explanation:

1/4=.25

1/5=.20

add .25 and .20 and you get .45

convert .45 into a fraction in which you can just use the fractions provided and all you got to do is match the decimal on a calculator

Answer:

a. y = 7.5x + 1

b. y intercept is 1, which means the puppy weighed 1 pound at birth or at 0 months old.

c. slope is 7.5 which means puppy gained 7.5 pounds a month for the first 6 months.

Step-by-step explanation:

To find slope: use rise/run formula (y2 - y1 / x2 - x1) which is,
(23.5 - 16) / (3 - 2) = 7.5

To find y intercept: Plug in y, x and b in the slope intercept formula (y=mx+b). choose any one of the pairs from the table. i chose 2 and 16. plug it in and the formula would now look like 16 = 7.5(2) + b .

solve for b
16 = 15 + b      (multiply 7.5 and 2)
1 = b               (subtract 15 from 16)
y intercept is 1

Answer:

Problem #6: 31.8

Step-by-step explanation: all you have to do is plug in 31 and 7 into the phythangorean therom equation so 31 squared + 7 squared and you will end up getting 1010 but then you have to find the square root of 1010 which equals 31.78049... so then you round your answer

The population model is an exponential decay because it decreases

The exponential model of the population is P = 3000(0.64^1/7)^t

The population decreases by 0.36 every 7 years.

This means that the function is an exponential decay.

An exponential decay function is represented as:

P = a((1 - r)^1/n)^t

Where:

So, we have:

P = 3000((1 - 0.36)^1/7)^t

Evaluate the difference

P = 3000(0.64^1/7)^t

Hence, the exponential model of the population is P = 3000(0.64^1/7)^t

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Answer:

  45%

Step-by-step explanation:

Your graphing calculator, statistics app, or spreadsheet can tell you that 45% of the normally-distributed data is above 8.6 when the mean is 8.1 and the standard deviation is 3.8.

a) The determination of the standard quota for the Dagonal district is 40.57%.

b) 1. The standard divisor is 267.19 (4,275/16).

2. The standard, lower, and upper quotas for the four districts are as follow:

                               North         South           East         West      

Standard quota     18.36%       26.32%     45.61%       9.71%

Lower quota             18%          26%            45%            9%

Upper quota             18%          26%            46%           10%

The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.

When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.

The standard divisor is calculated as the total population divided by the total number of seats.

The standard divisor gives the average number of people represented by a Board or seat member.

Hamilton, NY Population:

Residents of Hamilton, NY = 73,465

Board Trustee Members = 12

                             Basel         Heights       Dagonal      Total

Population            13,244        30, 415        29,806    73,465

Proportion            18.03%        41.40%         40.57%      100%

Allocation of Board

Seats                         2                  5                 5               12

Gotham City Population:

Number of seats = 16 seats

                             North         South         East         West      Total

Population               785          1,125         1,950        415       4,275

Proportion            18.36%      26.32%     45.61%       9.71%    100%

Allocation of Board

Seats                        3                 4                7              2          16

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Answer:

11

Step-by-step explanation:

The mean is the average. To find the average, add up all the numbers, then divide by the amount of numbers there are. 13 + 5 + 11 + 8 + 14 + 15 = 66. There are 6 numbers. 66 divided by 6 = 11.

Answer:

11 is your mean

Answer:

A. 9A² - 16B²

Step-by-step explanation:

(3A + 4B)(3A - 4B)

Distribute:

3A(3A - 4B)

4B(3A - 4B)

Multiply:

3A(3A - 4B)

3A(3A) + 3A(-4B)

9A² - 12AB

4B(3A - 4B)

4B(3A) + 4B(-4B)

12AB - 16B²

Combine like terms:

9A² - 12AB + 12AB - 16B² <== -12AB + 12AB cancels out

9A² - 16B²

Therefore, our final answer is 9A² - 16B²

Hope this helps!

Answer:The larger solution is 6

Step-by-step explanation:

Answer: I am pretty sure it's 18 feet.

Step-by-step explanation:

Answer:

no you couldnt

Step-by-step explanation:

5-3x=-128

LHS = RHS

(5 - 3) x A = -128

( 2 ) x A = -128

2A / 2 = -128 / 2

A = -64

Answer:

(-9, -6)

Step-by-step explanation:

Rotation 90° = (x, y) --> (-y, x)

(-6, 9) --> (-9, -6)

hope this helps and is right!! p.s. i really need brainliest :)

Answer:

x = 10

y = 6

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles are always equal to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4

⇒ m∠1 = m∠3

⇒ 10x = 100

⇒ x = 10

Linear pair:  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ 100 + 10y + 20 = 180

⇒ 120 + 10y = 180

⇒ 10y = 60

⇒ y = 6

Answer:

(i) ABCD = ABEC

(ii) As BF || AC then BE || AC, so CE = AB.

As AB = DC, then DC = CE

(iii) ΔDGE ≠ ΔCFE so I assume there is a typing error in the question, as

ΔDGC = ΔCFE

As DC = CE (as proved in (i)), AC || BE and DG ⊥ AC and CF ⊥ BE then ΔDGC = ΔCFE

(iv)  As DG ⊥ AC and CF ⊥ BE,  and AC || BE, then DG || CF

(v)  As  AC || BE  then GF || DC.  As DG || CF (as proved in (iv)), then DGFC is a parallelogram.

Answer:

yes because no one is perfect than god.