Simplify (3x^2)^3

Please help

Answer:

3 is not in the domain of [tex]f\circ g[/tex].

Step-by-step explanation:

The given functions are

[tex]f(x)=\sqrt{x+5}[/tex]

[tex]g(x)=-4x+4[/tex]

We need to check whether 3 is in the domain of [tex]f\circ g[/tex] or not.

[tex]f\circ g=f(g(x))[/tex]

[tex]f\circ g=f(-4x+4)[/tex]     [tex][\because g(x)=-4x+4][/tex]

[tex]f\circ g=\sqrt{(-4x+4)+5}[/tex]     [tex][\because f(x)=\sqrt{x+5}][/tex]

[tex]f\circ g=\sqrt{-4x+9}[/tex]

This function is defined if

[tex]-4x+9\geq 0[/tex]

[tex]9\geq 4x[/tex]

[tex]\dfrac{9}{4}\geq x[/tex]

It means domain of the function [tex]f\circ g[/tex] is [tex](-\infty,\dfrac{9}{4}][/tex].

[tex]3\notin (-\infty,\dfrac{9}{4}][/tex]

Therefore, 3 is not in the domain of [tex]f\circ g[/tex].

Answer:

Step-by-step explanation:

In a regular polygon, all sides and angles are equal.

So, an equilateral triangle is an example for regular polygon

Answer:

equilateral triangle should be the correct answer

Step-by-step explanation:

Answer:

[tex]-\frac{9}{14}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}*-\frac{6}{7}\\\\\frac{3}{2} *\frac{3}{7} \leftarrow \text{Cross Cancel Common Factor}\\\\ -\frac{3*3}{2*7}\\\\-\frac{9}{14}[/tex]

Answer:

negative 9/14

Step-by-step explanation:

Area of a rectangle is 27 cm²

Given:

Perimeter of a rectangle = 24 cm

Length = 3x

Width = x

p = 2(l + w)

24 = 2(3x + x)

24 = 6x + 2x

24 = 8x

24/8 = x

3 = x 

Width = 3 cm ; Length = 3x = 3(3) = 9 cm

Area = length * width

        = 9cm * 3 cm

Area = 27 cm² 

Answer:

Area of a rectangle is 27 cm²

Step-by-step explanation:

Answer: (x-8)(x+6)

Step-by-step explanation: For this equation, you need to figure out what two numbers add up to add -2, and multiply to get -48.

These numbers are +6 and -8. So the factored pair will be (x+6)(x-8)

Hope this helps:)

Answer: d

Step-by-step explanation:

This a trinomial so to find the factorization you need just to solve this equation :

x=8 and y=-6

the factorisation is  f(x)=a* (x-8)(x-(-6))

       the answer is : (x+6) (x-8)

Answer:

[tex]sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}[/tex]

Step-by-step explanation:

[tex]\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\[/tex]

[tex]sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}[/tex]

Answer:

See below.

Step-by-step explanation:

46.

Theorem:

The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.

The 100-deg angle is an exterior angle whose remote interior angles are angles E and F.

m<E + m<F = 110

5x + 6x = 110

11x = 110

x = 10

m<E = m<FEG = 5x = 5 * 10 deg = 50 deg

Answer: C. 50 deg

47.

A is not true since we know that 5x + 6x must equal 110, not 70.

Answer:

<FEG=50

A. is wrong

Step-by-step explanation:

For the first question, we know <F &<E are remote interior angles which add up to 110 (exterior angle)

so:

[tex]5x+6x+110\\11x=110\\x=10[/tex]

so:

[tex]5x= 5(10)\\FEG=50[/tex]

Now using what we know, we can determine that A. is wrong since 5x+6x is 110° not 70°

Hope this helps!

Answer:

Fiona got £48

Step-by-step explanation:

let Sara=x

Pip=3x

Fiona=2(3x)

x+3x+2(3x)=£80

4x+6x=£80

10x=£80

10x/10=£80/10

x=£8

therefore Sara(x) got £8

Pip=3x

=3(8)

=£24

Fiona=2(3x)

=2(24)

=£48.

Answer:

14cm² is the area of the shaded region

Step-by-step explanation:

recognize that those two small triangles plus that arc area is equal to 1/4 of the area of the circle.

56 / 4 = 14cm

Answer:

Bentley got $20 for her allowance.

Step-by-step explanation:

Answer:

The correct option is;

DE/PQ = 3/2 which is StartFraction DE Over PQ Endfraction = three-halves

Step-by-step explanation:

The information given bout the triangles are;

DF/PR = FE/RQ = 3/2

Therefore since the given sides of triangle DEF are 3/2 times the sides of triangle PQR, the given sides of triangle DEF have been scaled 3/2 times to get the given sides of triangle PQR

Therefore, to prove that ΔDEF ~ ΔPQR, the ratio of the third side of triangle DEF, that is DE, to the third side of triangle PQR, which is PQ must be three-halves.

Answer:

The answer is  DE/PQ = 3/2 or D.

Step-by-step explanation:

Just did it on edge. hope you do good :)

Answer:

Range { 2,4,9,16}

Step-by-step explanation:

The range of the function is the output of the system

Range { 2,4,9,16}

Answer:

Step-by-step explanation:

Range is ll the y-points the outputs {2,4,9,16}

Answer:

solution,

[tex](2 + 3 \times 2 + {3}^{2} ) - {4}^{2} \\ = (2 + 6 + 9) - 16 \\ = 17 - 16 \\ = 1[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

1

Step-by-step explanation:

Multiply  

3  by  2 . 2 + 6 + 3 2 − 4 2 Raise  3  to the power of  2 . 2 + 6 + 9 − 4 2 Raise  4 to the power of  2 . 2 + 6 + 9 − 1 ⋅ 16 Multiply  − 1  by  16 . 2 + 6 + 9 − 16

Simplify by adding and subtracting.

Add  2  and  6 . 8 + 9 − 16 Add  8  and  9 . 17 − 16  Subtract  16  from  17 .

1

Answer:

97 degrees

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The option (A) (1/2)mQRS = ∠T is correct because the measure of an inscribed angle is one-half the measure of its intercepted arc.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have:

Rahim is constructing a proof to show that the opposite angles of a quadrilateral inscribed in a circle are supplementary.

From the central angle theorem:

(1/2)mQRS = ∠T because the measure of an inscribed angle is one-half the measure of its intercepted arc.

Thus, the option (A) (1/2)mQRS = ∠T is correct because the measure of an inscribed angle is one-half the measure of its intercepted arc.

Learn more about circle here:

brainly.com/question/11833983

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Answer & Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

-1.1 x + 6.4 >- 1.3

Subtract 6.4 from each side

-1.1 x + 6.4 -6.4 >- 1.3-6.4

-1.1x > -7.7

Divide each side by -1.1, remembering to flip the inequality

-1.1x/-1.1< -7.7/-1.1

x < 7

There is an open circle at 7 and a line going to the left

Hey there! :)

Answer:

C.

Step-by-step explanation:

Given:

-1.1x + 6.4 > -1.3

Subtract 6.4 from both sides:

-1.1x >  -7.7

Divide both sides by -1.1. Flip the sign because you are dividing by a negative sign.

-1.1x/ (-1.1) < -7.7/(-1.1)

x < 7.

Therefore, C is the correct answer. Since the sign used is < without the equal to, an open circle would be used.

Answer:

Answer B

Step-by-step explanation:

1.  (1, -4) is NOT a solution because (1) - 2(-4) < 4 is false.

2.  (-8, 2):  -8 - 2(2) < 4 is true, and in simplified form is -12 < 4 (true)  We must check whether this point (-8, 2) ALSO satisfies y > -2x - 5:

2 > -2(-8) - 5.  Yes, this is true, so the given point satisfies both inequalities in Answer B.

Answer:

4

Step-by-step explanation:

Answer:

20160

Step-by-step explanation:

If there is no repeat of the alphabets, the answer will simply be 8! = 40320 (8 words)

but, there is B which repeated 2 times.

So, 8!/2!

Answer:

20160

Step-by-step explanation:

Let's write the word PROBABLY. There are 8 letters in total, but the letter B repeats twice. So, instead of just doing 8! or 1*2*3*4*5*6*7*8, you have to exclude the two B's.

So, you have to do 8! / 2! because the 2! is the two B's.

Hope this helps!! :)

The probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be 4.167%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1 to 6.

Each player chooses one card and rolls the cube to determine the number of spaces to move on the game board.

Then the probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be

[tex]\rm P = \dfrac{2}{8}\times \dfrac{1}{6}\\\\\\P = \dfrac{1}{24}\\\\\\P = 0.04167 \ or \ 4.167\%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

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Answer:

$2.01.

Step-by-step explanation:

Tax paid = 5.5% * 36.60

= 0.055 * 36.60

= 2.013

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

Explanation:

For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure

exterior angle = 40

We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180

interior angle = 180-(exterior angle) = 180-40 = 140

This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.

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

side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.

The sell price is the wholesale price plus 20%

Divide the sell price by 1.2 ( 100% + 20%)

145 / 1.2 = 120.83

The wholesale price is $120.83

Answer:

The wholesale price is $120.83

Answer:

28 miles in 7 minutes, 240 miles in an hour

Step-by-step explanation:

We can first simplify the rate to miles per minute. Since the plane goes 12 miles in 3 minutes, we can divide it by 3 to find how much it travels in one minute. 12 divided by 3 is 4 and 3 divided by 3 is 1

The plane travels 4 miles a minute

To find how much it travels in 7 minutes, multiply by 7

4x7 is 28

28 miles in 7 minutes

To find an hour, multiply by 60

4x60= 240

240 miles in an hour

Answer:

3.625 is ans

Step-by-step explanation:

4.5+0.25_+1.125=3.625

Step-by-step explanation:

this is your answer sis ...

Answer:

second and third choice

Step-by-step explanation:

supplamentary = add up to be 180

Answer:

[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

Step-by-step explanation:

[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

The inverse of the linear function, f(x),  f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is  f⁻¹(x) = 3 (x -5) / 5

The inverse of a function is a function that reverses the effect the original function.

Here, we have,

The original function is; f(x) =5x/3 +5

The inverse of f(x) can therefore be found by making x the subject of the equation as follows;

f(x) = 5x/3 +5

f(x) -5 = 5x/3

(f(x) -5) 3 = 5·x

x = (f(x) -5) 3 / 5

x = 3 (f(x) -5) / 5

Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;

f⁻¹(x) =  3 ((x) -5) / 5

f⁻¹(x) = 3 (x -5) / 5

The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.

Learn more on the inverse of a function here: brainly.com/question/29652632

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Answer:

Step-by-step explanation:

45-37

8x17 = 136

Answer:

-1, c

Step-by-step explanation:

Each dot represents 1.  

0 - 1 = -1

As labeled, c represents 2.