Brainliest for right answer.

Answer:

Part A: The two types of types of transformation are

1) Rotation of 11.3° about (1, 2)

2) By algebraic transformation

Part B:

Rotation by 11.3° and T(2 - y)×1/2 + x, 0)

Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

Step-by-step explanation:

The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)

The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)

The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(3 - 1) = 5

The equation in point and slope form is y - 3 = 5×(x -1)

y = 5·x - 5 + 3 = 5·x - 3

y = 5·x - 3

The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(1 - 1) = ∞

∴ The equation in point and slope form is x = 1

Therefore, the two equations meet at the point (1, 2)

The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows

Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°

Rotation of f(x) by 11.3° about (1, 2) gives g(x)

Hope this helped!

Answer:

12/36

Step-by-step explanation:

Cuz 12 earned A's so it's 12/, then there are 36 choices so it would be 12/36.

Answer:

f(x) = x2 – 12x + 20

Step-by-step explanation:

if it has those zeros, then it is (x-10)(x-2)

if you multiply that out, you get x^2 - 12x +20

Answer:

it is 6.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Use the counting principle.

2 × 5 × 6 = 60

Answer: 60

Answer:

B

Step-by-step explanation:

lmk if you want an explanation

Answer:

[tex]x^3-2x^2-8x[/tex]

Step-by-step explanation:

[tex]x(x+2)(x-4)[/tex]

[tex]x(x^2-2x-8)[/tex]

[tex]x^3-2x^2-8x[/tex]

Answer:

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Answer:

Negative correlation

Step-by-step explanation:

As TV hours increase, exercise hours decrease.

Answer:

check online for more information

The Venn diagram for given situation is as shown below.

The number of students who study exactly one subject = 56

"It is a collection of well-defined elements"

"It is a pictorial representation that uses circles to show the relationships among sets."

For given example,

We have been given the data for 120 mathematics students at a college concerning the languages French, German, and Russian

Let set A, B and C represents the number of students who study French, German and Russian respectively.

⇒ n(A) = 65

⇒ n(B) = 45

⇒ n(C) = 42

20 study French and German

⇒ n(A ∩ B) = 20

25 study French and Russian,

⇒ n (A ∩ C) = 25

15 study German and Russian.

⇒ n(B ∩ C) = 15

8 study all three languages.

⇒ n(A ∩ B ∩ C) = 8

So, the Venn diagram for given situation is shown below.

Now, we find the number of students who study exactly one subject.

28 students study French only, 18 students study German only and 10 students study Russian only.

So, the total number of students who study exactly one subject is,

28 + 18 + 10 = 56

Therefore, 56 students study exactly one subject

Learn more about Venn diagram here:

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Answer:

19.228

Step-by-step explanation:

multiply 2.2*2.3*3.8 to get 19 yd^3

Answer:

z=4 p=20 m=8 y=23 b=29 d=1

Step-by-step explanation:

You do the reverse to find out what the variable(hidden #) is

z because 10-6=4

p because 15+5=20

m because 12-4=8

y because 19+4=23

b because 12+17=29

d because 3-2=1

If this is wrong I'm sorry.

Answer:

y=42/15x+8

Step-by-step explanation:

We can get the change in height with 50-8, or 42. Now we divide, so 42/15. I'm assuming this is a slope question, so it would be y=42/15x + 8. Let me know if this is the way you want the answer.

Answer:

x=8+(number of feet/number of months)

Step-by-step explanation:

Answer:

9.81925> rounding up, final answer is x= 9.8

Answer:

x=8

Step-by-step explanation:

Never crosses the y-axis so x equals 8

Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

Common ratio is 1/4

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:

a, ar, ar2, ar3, ar4, and so on.

Where a is the first term and r is the common ratio.

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4

gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]

Hence, common ratio r = 1/4

To learn more about the geometric progression here:

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Answer:

all the small nembers x

Step-by-step explanation:

Answer:

768

Step-by-step explanation:

16x48= 768

Answer:

768

Step-by-step explanation:

you multiply 16 times 48 to find the weekly wage

Answer:

$3.36

Step-by-step explanation:

$1.43 = 1 lbs

$1.43 + $1.43 = $2.86

$2.86 + .3 = $3.36

Answer:

given,

time spent each day for driving to work = 42 mins time spent for driving work each month ( m ) = ?

we know ,

1 month is equal to 12 days

so,

m = 42× 12

= 504

hence, Debra spends 504 minutes driving each month.

Answer:

$2500

Step-by-step explanation:

$200×14=$2800

$2800-$300=$2500

Answer:$2

Step-by-step explanation:

5 notebooks cost $4 each

5*$4=$20

Jada pays the cashier $40 and gets $8 back

So in order to figure out how much was paid you take

$40-$8=$32

Then to figure out how much each pen cost I take

$32-$20=$12

So there was 6 pens that were bought and to get the total per each pen

$12/6=$2 each per pen

Answer: If you are wondering about your grades, it becomes 70.495. Therefore, your grade becomes a 70.

It will be lowered vy like one or two percent

i think

Answer:

B. m+4

Step-by-step explanation:

You are just writing the same equation but backwards so that the numbers still stay the same as well as the answer.

Answer: A

Step-by-step explanation:

Answer:

-1/2 + i/10 sqrt(55)  , -1/2 - i/10 sqrt(55)

Step-by-step explanation:

5x^2+5x+4=0

a=5  b= 5  c=4

Using the quadratic formula

-b ± sqrt( b^2 -4ac)

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

  2a

-5 ± sqrt( 5^2 - 4(5)(4))

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

2(5)

-5±sqrt( 25 - 80)

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

10

-5± sqrt(-55)

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

10

-5/10  ± 1/10  i sqrt(55)

-1/2 + i/10 sqrt(55)  and -1/2 - i/10 sqrt(55)

Answer:

x= -5 ± i√55 / 10

Step-by-step explanation:

hope i helped

Answer:

70%

Step-by-step explanation:

the ratio is 14 to 6 so if you have 14 small milkshakes you would also have 6 regular milkshakes

to find a percentage we can buff up the ratio to add up to 100

14 + 6 = 20

100 / 20 = 5

that means we must multiply each side by 5

14 * 5 = 70

6 * 5 = 30

the ratio is now 70 to 30

you would have 70% of milkshakes that are small

Answer:

14x 2 +9

Step-by-step explanation:

All the answers to the given fraction problems are;

1) A; 1

2) D: 500

3) B: 86

4) B: 23

5) A: 124

6) A: 33

7) A: 51.2

8) A: 3

9) A: 16.67 doses

10) A: Php 12.5

11) A: 52.6

12) C: 8.43

13) B: 61 ÷ 9

14) A: 12

15) B: 5

16) A: decimal form

17) A: 0.44

18) A: 24 ÷ 27

1) 1.7 ÷ 8.5

We need to change them to whole numbers by shifting the decimal points one place to the right to get; (17/85)

2) 50 ÷ 0.1

Shift decimal one place to the right to get;

500/1

Quotient = 500

3) 0.86 ÷ 0.02

The dividend is usually the numerator. Let us shift both numerator and denominator by two decimal places to the right to get; 86 ÷ 2

Thus, new dividend = 86

4) 6.9 ÷ 0.3

Move decimal points one place to the right to get;

69 ÷ 3 = 23

5) 75.64 ÷ 0.61

Move decimal points two places to the right to get;

7564 ÷ 61

Numerator written as a factor of denominator gives;

(124 × 61)/61

Quotient = 124

6) 7.26 ÷ 0.22

Move decimal points two places to the right to get;

726/22

Numerator written as a factor of denominator gives;

(33 × 22)/22 = 33

7) 5.12 ÷ 0.10

Move decimal points two places to the right to get;

512/10 = 51.2

8) A 0.75 m pink ribbon was cut into 0.25 m strips. Thus;

Number of pieces = 0.75/0.25

Move both decimals 2 places to the right to get;

75/25 = 3 pieces

9) A bottle contains 27.5 ounces

You take 1.65 ounces for each dose.

Number of doses per bottle = 27.5/1.65

Move decimal points two places to the right; 2750/165

Number of doses per bottle = 16.67 doses

10) She earned Php256.25 for gardening.

She worked 20.5 hours the month.

Amount earned per hour = 256.25/20.5

move decimal places two points to the right to get;

Amount earned per hour = Php 12.5

11) 5.26 times 10

move decimal place two points to the right to get;

(526 × 1/100) × 10 = 52.6

12) 59 ÷ 7

Nearest multiple of 7 to 59 is 8.

Thus, 59 ÷ 7 = 8³/₇

⇒ 8.43

13) The one that gives a quotient of 6.78 is;

61 ÷ 9

14) How many 7 does 86 have?

This is; 86 ÷ 7

Nearest multiple of 7 to 86 is 84 which is 12 × 7

Thus, there are 12 numbers of 7 in 86.

15) Remainder if you divide 59 by 9

Nearest multiple of 9 to 59 is 54 which is 9 × 6.

Remainder = 59 - 54 = 5

16) When divisor is bigger than the dividend, it means the denominator is bigger than the numerator and so the quotient is an improper fraction which is a decimal.

17) 4 ÷ 9 = 0.444

Approximating to one decimal place = 0.4

18) The correct mathematical sentence with never ending decimal is;

24 ÷ 27

Read more on simplifying fractions at; https://brainly.com/question/6109670