State the transformations on the graph of f(x) = ^ x that result in the graph of the given functions.
Write the transformation rule.

Answer:

140 degrees

Step-by-step explanation:

first start by making the given angles equal each other because they are congruent.

2x+28=6x+4

Subtract 4 on both sides

2x+24=6x

subtract 2x on both sides

24=4x

divide both sides by 4 to get x

24/4=4x/4

6=x

next to find the actual number of the angle, plug 6 back into either one of the equations. Im gonna use the first one.

2x + 28

2(6) + 28

12+28= 40

Now that we have the number, we already know that a full circle is 360 degrees so half a circle is 180.

Take 40 and subtract from 180

180-40= 140

Well, m∠1 and m∠3 are congruent by the Vertical Angle Congruent Theorem (VACT). This means that because the angles are opposite of each other, their angles are the same because they are formed by the same two intersecting lines.

Because of this, we can set m∠1 and m∠3 equal to each other:

m∠1 = m∠3

(2x + 28) = (6x + 4)

2x + 28 = 6x + 4

-4x + 28 = 4

-4x = -24

-x = -6

x = 6

Knowing that x equals 6, we can use this to find m∠2. By the Supplementary Angles Theorem (SAT), angles that are on the same line add up to equal 180°. To use the SAT, we need to plug x in to find m∠1 or m∠3, because they are both the same:

x = 6

m∠1 = (2x + 28)

m∠1 = 2(6) + 28

m∠1 = 12 + 28

m∠1 = 40°

m∠3 also equals 40°.

Now that we have the value for ∠1 (or ∠3), we can use the SAT:

m∠2 + m∠3 = 180 ← You could also use m∠1, because they both equal the same!

m∠2 + 40 = 180

m∠2 = 140°

So, the measure of ∠2 is 140°.

If you have any questions, feel free to ask! :)

Answer:

[tex] \frac{ \sin {}^{3} A - \cos {}^{3} A }{ \sin A - \cos A} \\ \\ { \sf{ = \frac{ {( \sin A - \cos A)}^{3} + 3 \sin A \cos A( \sin A - \cos A)}{ \sin A - \cos A} }} \\ \\ = { {( \sin A - \cos A)}^{2} + 3 \sin A \cos A} \\ { \sf{ = ( \sin {}^{2} A + \cos {}^{2} A) - 2 \sin A \cos A + 3\sin A \cos A}} \\ = { \sf{1 +\sin A \cos A }} [/tex]

#hence proved

Answer:

D

Step-by-step explanation:

f(x) = x^2+1 at x=-1, f(-1)=1+1=2

Answer:

B

Step-by-step explanation:

22/33 = 0.667

14/21 = 0.667

Since both quantities both have the ratio of 2:3, they are proportional

The other choices are not proportional

25/28 = 0.893

5/7 = 0.714

16/13 = 1.231

13/16 = 0.813

48/60 = .8

35/42 = .833

Answer:

25, 26, 27

Step-by-step explanation:

By adding these three consecutive integers together, you get 78. Test it on a calculator if you'd like to.

Answer:

The choose B. f(x)=3|x-5|

I hope I helped you^_^

Answer:

10/1

Step-by-step explanation:

5/6÷1/12

5/6×12/1 (do a inverse of 1 upon 12)

10/1

cancel 12 by 6

Answer:

no it is not a defined set

360 grms of 6kg

answer,

first convert 6kg into grms.

6kg = 6000grms.

now,

360 grms of 6kg= (360/6000)×100•/•

= 6 •/•

Answer:

O 0,1 or an infinite number of solutions

Step-by-step explanation:

Answer:

It's a (space) lot,... haha na I just kidding,... you're good,... I mean I'm not kidding cause it is correct,... but you are good,... like totally cool,... anyway,...

Step-by-step explanation:

By x the just mean what number,... so,...

what number + 6 = 7,

6 + what number = 7,

2 + what number + 5 = 7,

1 + what number = 7,

what number + 4 + what number = 7,

So that is what it mean,... hope it helps, alot LOL,... and,... Chow

Answer:

a) 72

Step-by-step explanation:

The rightmost digit, 5, is in the ones place, so its value is 5.

The next digit to the left, the 4 is in the sixes place, so its value is 4 * 6 = 24.

The next digit to the left, the 2, is in the 36 place, so its value is 2 * 36 = 72.

Answer: a) 72

Answer:

Step-by-step explanation:

[tex]\dfrac{45}{56}*100= 0.8035 * 100 = 80.35[/tex] = 80%

Answer:

[tex]7a^4b^3[/tex]

Step-by-step explanation:

[tex]49a^4b^3 \\ 21a^4b^5[/tex]

GCF: [tex]7a^4b^3[/tex]

The first choice can be aby one of the 4 colors.

    For each of these . . .

The 2nd choice can be any one of the 3 remaining colors.

    For each of these . . .

The 3rd choice can be either one of the 2 remaining colors.

So there are (4 · 3 · 2)  =  24 different ways to order the colors.

If everybody you ask thinks the same way, you'd expect all of the possible combinations to be chosen equal numbers of times . . . that is, every choice would be chosen once in every group of 24 people.

In 1,000 people, there are (1000/24) = (41 and 2/3) groups of 24 people.

So you'd expect any one possible preference order to be chosen by 41 or 42 viewers, if all of the viewers think the same way, and their preferences are perfectly random.

Answer:

heyy Vrooo....

alr ans is 49

Step-by-step explanation:

see let number be x

so as per ques.. product of x and 9/7 = 9x/7

which is 63

so [tex]\frac{9x}{7}[/tex] = 63

9x = 63*7

x = [tex]\frac{63*7}{9}[/tex]

x = 7*7 = 49

Possible to brainliest <3 ?

Answer:

x/2 > 5

Step-by-step explanation:

Quotient means division

x/2

is more than means greater

x/2 > 5

Answer:

Two choices are correct answer.

y = x   and y = 1/4 x

Step-by-step explanation:

We have given four equations.  

We have to choose the equations that are direct variation function.  

Direct variation function is defined as the relation where one variable vary constant times to the other variable.  

let two variables are x and y.  

y = kx   where k is constant.  

Comparing given equation , we notice that  

y = x is direct variation function where k = 1.  

y = 1/4 x is direct variation function where k = 1/4.

Answer: B) 87

Step-by-step explanation:

First, order the values from least to greatest:

75, 80, 87, 88, 95

Next, find the value that lies in the middle

75, 80, 87, 88, 95

Therefore, 87 is the median.

Answer:

B: 87

Step-by-step explanation:

Sorry for this very late response. But if anyone wasn't sure if the answer 87 is correct, it is. I can confirm this because I just took the test. I hope I could help! (:

Answer: 90 points

Step-by-step explanation:

Team A's score = 72 points

Team B's score = 125% of A's

= 90 points

please click thanks and mark brainliest if you like :)

Answer: 254.34

Step-by-step explanation: 3.14(9*9)=254.34

Answer:

Step-by-step explanation:

Number of subset= [tex]2^{n}[/tex]

Her, n is the number of elements in the set.

{p , e , t}

n = 3

Number of subset = 2³ = 2 * 2 *2 = 8

Answer:

Step-by-step explanation:

1) 76*.67 = 50.9

   73 * .33 = 24.1

75% = C

2) .3 * 71 + .3*77+ .4*98=

  21.3+23.1+39.2 = 83.6

83.6 = B

3) 73.24  vs.  68.55

hw   88 22 13.2

cp   84 8.4 8.4

test  59 23.6 35.4

fe  77 19.25  11.55

             tats      ester

totals = 73.24    68.55

Answer:

d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)} - function

Step-by-step explanation:

a.{(2,4),(2,6),(2,8),(2,10),(2,12)}

Each value of x goes to more than one value of y- this is not a function

b. {(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}

The value of x at -4 goes to more than one value of y- this is not a function

c.{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}

The value of x at 0 goes to more than one value of y- this is not a function

d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)}

 Each value of x goes to only one value of y- this is a function

Answer:

gsgdjdjchdvvdbdjzjsjsushsvvsvsvs I don't know

Answer:

see explanation

Step-by-step explanation:

h(- 3) with x = - 3, that is x ≠ 1 , then

h(- 3) = - [tex]\frac{1}{2}[/tex] (- 3) + 2 = [tex]\frac{3}{2}[/tex] + 2 = [tex]\frac{7}{2}[/tex]

h(1) with x = 1 , then

h(1) = 1

h(3) with x = 3, that is x ≠ 1 , then

h(3) = - [tex]\frac{1}{2}[/tex] (3) + 2 = - [tex]\frac{3}{2}[/tex] + 2 = [tex]\frac{1}{2}[/tex]

Answer: A) The degree of the polynomial is even

We can determine this by noticing that the end behavior is different on both sides. The left end goes downward while the right end goes upward. This opposing nature indicates we have an odd degree function like a cubic. If this was an even degree function, then the left end must also point upward to mirror the right end. That's why choice A is the final answer.

Choice B can be ruled out since it's a true statement. This is because the right end behavior goes to positive infinity. Such end behavior is tied to positive leading coefficients (whether even or odd functions, it doesn't matter).

Choice C is also true and can be ruled out because this function curve does have one relative minimum. It's the location where the curve bottoms out in the valley at around x = 3.5 or so. It's the lowest point in the neighborhood/interval of points.

Choice D can be ruled out for similar reasons as choice C, except this time we're looking at the highest point in a certain neighborhood. That highest point occurs somewhere between x = 1.5 and x = 2 where the peak of the hill is located.

To rephrase those last three paragraphs: choices B through D are true statements, so they can be ruled out.

Answer:

the missing values is 5

I hope it's helps you

Answer:

- 190

Step-by-step explanation:

-10x (4x - 12 - 3)

-40x - 120x - 30x

- 190

Answer:

-20x³ + 30x^4 + 15x²

Step-by-step explanation:

−5x²(4x − 6x² − 3)

-20x³ + 30x^4 + 15x²