Someone please help me with this!!! (30 points)

The inverse function is:

[tex]g(x) = 27*x^3 - 4[/tex]

And g(2) = 212.

We need to find g(x) such that:

g(h(x)) = x.

We know that:

[tex]h(x) = \frac{\sqrt[3]{x + 4} }{3}[/tex]

Then our function must be a cubic, multiplied by 3^3 = 27, and then subtracts 4, it is:

[tex]g(x) = 27*x^3 - 4[/tex]

As you can see, if you evaluate in h(x), the outcome is x.

Now we can evaluate this in x = 2, we get:

[tex]g(2) = 27*2^3 - 4 = 212[/tex]

The correct option is C.

If you want to learn more about inverses.

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If he answered 3 questions correctly, then the number of questions is got wrong is 7 and the number of questions that he did not attempt is 5.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are given for every incorrect answer, and 0 marks are given for questions that are not attempted. Punit scored (– 2) marks.

If he answered 3 questions correctly, then the number of the question are got wrong and the number of the question that he did not attempt.

Let x be the correct question and y be the incorrect question, z be the number of questions that he did not attempt, and A be the number of the total score. Then we have

4x – 2z = A

x + y + z = 15

If A = -2 and x = 3, then we have

4 × 3 – 2z = -2

      12 + 2 = 2z

              z = 7

Then the value of y will be

3 + y + 7 = 15

           y = 5

More about the linear system link is given below.

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#1

Area

#2

Apply Pythagorean theorem

Area

#3

Area

Answer:

Formulas Used

[tex]\textsf{Area of a Trapezoid}=\dfrac{1}{2}(a+b)h[/tex]

where:

[tex]\textsf{Pythagoras' Theorem}: \quad a^2+b^2=c^2[/tex]

where:

[tex]\textsf{Area of a Kite}=\dfrac{1}{2}pq[/tex]

where:

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

Question g (Trapezoid)

[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}(a+b)h[/tex]

[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(6+14)5.5[/tex]

[tex]\textsf{Answer}: \quad A=55\:\: \sf in^2[/tex]

Question h (Trapezoid)

[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}(a+b)h[/tex]

Find the missing side length of the right triangle using Pythagoras' Theorem:

[tex]\implies a=\sqrt{14^2-12^2}=\sqrt{52}[/tex]

Therefore, top edge of trapezoid = √52 + 8

[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(\sqrt{52}+8+8)12[/tex]

[tex]\textsf{Answer}: \quad A=96+12\sqrt{13}=139.3\:\: \sf yd^2\:(nearest\:tenth)[/tex]

Question i (Kite)

[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}pq[/tex]

[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(6+6)(3+9)[/tex]

[tex]\textsf{Answer}: \quad A=72\:\: \sf ft^2[/tex]

Answer:

3x - 9

Step-by-step explanation:

We already have the expression 4x + 2x − 3x − 9. Now, we just have to add like-terms. This will give us 3x - 9.

Step-by-step explanation:

2x(2)+2x(1)-3(x)-3(3)

4x+2x- 3x-9

since they are of same like terms we add them

=3x - 9

Answer:

$7665

Explanation:

simple interest: principal * rate (%) * time (years)

Given:

principal: $3,500

rate: 7%

time: 17 years

Solve for interest received:

3,500 * 7% * 17

$4165

Total money in account:

$4165 + $3,500

$7665

Answer:

2.25km

Step-by-step explanation:

Calculate the total distance:

9km/ 0.80 x 100% = 11.25km

The walker has travelled 9km, so

11.25km - 9km = 2.25km left

The sample space that represents all possible buses and boats combinations is given by:

{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.

The sample space is the set that contains all possible outcomes for an experiment.

In this problem, for each the bus and the boat, there are 3 outcomes, hence the cardinality of the sample space is given by:

3 x 3 = 9.

Considering that one letter from D, E and F, and one number for 1, 2 and 3 are chosen, the sample space is given by:

{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.

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Answer:

Looking at the given points we know that it is going to be a triangle because it only have 3 points.  Therefore the figure is a triangle and the area formula would be [tex]A=\frac{1}{2}*b*h[/tex].

You can look at the attached graph and what we see is that our height of the triangle is from [tex]y=-3[/tex] to [tex]y=4[/tex] which means that our height is 7 units high.  We can also see that our base starts at [tex]x=-4[/tex] and ends at [tex]x=4[/tex] making us have a base of 8 units.

We then plug in the values and solve

[tex]A = \frac{1}{2}*7\ units * 8\ units[/tex]

[tex]A = \frac{1}{2}*56\ units^2[/tex]

[tex]A = 28\ units^2[/tex]

Therefore, the area of our triangle is [tex]28\ units^2[/tex]

Hope this helps!  Let me know if you have any questions

Answer: Ok

Step-by-step explanation:

Step-by-step explanation:

what are y'all doing so sad I can relate

Answer:

y=1/2x-2

Step-by-step explanation:

4x - 8y = 16

-8y = 16-4x

y=-2+ 1/2x

y=1/2x-2

mark brainliest pls

Using conditional probability, it is found that the correct option regarding whether the events are independent is given by:

A. No, they are not independent because P(student) = 0.80 and P(student|Viking) =0.94.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

An event B is classified as independent if:

P(B|A) = P(B).

In this problem, 100 out of the 125 people sampled are students, hence the probability is given by:

P(student) = 100/125 = 0.8.

Out of the people that prefer to be a Viking, 80 out of 85 people are students, hence:

P(student|Viking) = 80/85= 0.94.

The probabilities are different, hence the events are not independent, and option A is correct.

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Answer:

The solution to a system of equations means the point must work. In both equations in the system, if you are asked if a point is a solution to an equation, you replace the variables with the given values and see if the two sides of the equation is equal "so is a solution"

Answer:

[tex]2\sqrt{6} -13\sqrt{3} +4\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{24} -5\sqrt{12} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=\sqrt{4\times 6} -5\sqrt{4\times 3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=\sqrt{4} \times \sqrt{6} -5\times\sqrt{4} \times \sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=2\sqrt{6} -5\times2\sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=2\sqrt{6} -10\sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=2\sqrt{6} -13\sqrt{3} +4\sqrt{2}[/tex]

Answer:

[tex] \boxed{ \tt 2 \sqrt{6} - 13 \sqrt{3 } + 4 \sqrt{2} }[/tex]

or

[tex] \boxed{ \tt \approx - 12.1}[/tex]

Step-by-step explanation:

Simplify:

[tex] = \tt \sqrt{ {2}^{2} \times 6} −5 \sqrt{12} +4√2−3√3[/tex]

[tex] = \tt \: 2 \sqrt{6} - 5 \sqrt{12} + 4 \sqrt{2 } - 3 \sqrt{3} [/tex]

[tex] = \tt2 \sqrt{6} - \sqrt{ {2}^{2} \times 3} + 4 \sqrt{2} - 3 \sqrt{3} [/tex]

[tex] = \tt \: 2√6−5(2√3)+4√2−3√3[/tex]

[tex] \tt = 2√6−10√3+4√2−3√3[/tex]

[tex] \tt = 2 \sqrt{6} - 13 \sqrt{3 } + 4 \sqrt{2} [/tex]

[tex] \tt \approx \: - 12.1[/tex]

[tex] \rule{225pt}{2pt}[/tex]

Answer:

the answer is 56

Step-by-step explanation:

2x+3x+5=90

5x=90-5

5x=85

x=85/5

x=17

YVZ= 3(17)+5

YVZ=51+5

YVZ=56

Answer:

28

Step-by-step explanation: add all sides together

Answers in bold:

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

Explanation:

I'm not sure how your calculator works, but I'm assuming you can copy/paste the given numbers into the calculator somehow to have it determine the regression equation.

The tool I used is GeoGebra and the regression equation it produced was

y = 1.2x - 21.3

Each decimal value is approximate and rounded to the nearest tenth.

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

Once we determine the regression line, plug the homework grade x = 45 to find the associated test grade (y). This is a predicted test grade.

y = 1.2x - 21.3

y = 1.2*45 - 21.3

y = 32.7

y = 33

If a student got a 45 on a homework, then we predict their test grade should be around 33.

Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

The inequality is

10+7x\leq 4010+7x≤40

Step-by-step explanation:

Let

x-----> the number of child tickets

we know that

10+7x\leq 4010+7x≤40 -----> inequality that represent the situation

Solve for x

7x\leq 40-107x≤40−10

7x\leq 307x≤30

x\leq 4.3x≤4.3

The maximum number of child tickets is 4

Answer:

closer to 8000 than it is to 7000

Answer:

Hope this helps :)

7,614 is closer to 8,000 than it is to 7,000

This is because if the number has the hundreds place with 500 or more than it would be round up. If it's less than 500 than round down.

Also 7,614 rounded to the nearest thousand is 8,000 because the 6 in the hundreds place is more than 5 so we round up in the thousands place. The final answer would be 8,000.

Answer:

112

Step-by-step explanation:

672/6 = 112

Answer:

112

Step-by-step explanation:

672 divided by 6 is 112. There are 112 eggs in each box.

Answer:

your answer is 9

Step-by-step explanation:

3+3/4+5+1/4

3+5=8

3/4+1/4=4/4

4/4=1/1

1/1=1

8+1=9

9 miles

Answer:

r ≈ 4

Step-by-step explanation:

circle = 360 degrees

360 / 90 = 4

let's call the area of triangle XYZ + the shaded area portion A

because ∠XYZ = 90°, and 360 / 90 = 4, A = 1/4th of the area

total area of circle = πr²

XY = YZ = radius

thus, as ∠XYZ = 90° and two sides are the same, this forms a 45-45-90 triangle, with base YZ and height XY (base/height are interchangeable here)

thus, area of triangle XYZ = r*r/2 = r²/2

area A = r²/2 + 4.64

4 * A = total area of circle

4(r²/2+4.64) = πr²

2r²+18.56 = πr²

subtract 2r² from both sides to put all the variables on one side

(π-2)r² = 18.56

divide both sides by (π-2) to isolate r²

18.56/(π-2) = r² ≈ 16.258

r ≈ 4.032 ≈ 4

Answer:

12.5

Step-by-step explanation:

It is equal to the slope of the line = 50/4 = 12.5

Answer:

3/16

Step-by-step explanation:

you do length x width x height, and get 3/16

Step-by-step explanation:

that is quite a lot of failing TVs.

if 5% are failing, this means you have a "chance" of 5/100 = 1/20 that your TV is among them.

that means the expected costs for replacement in the next 3 years are

1750 × 1/20 = 175/2 = $87.50

minus the $200 replacement plan the expected value is of course negative :

87.5 - 200 = -$112.50

and if your TV breaks after more than 3 years, the expected value is actually -1750 - 200 = -$1,950

which is the principle of replacement plans, and why I never buy one.

but sure, for the 5% with broken TVs this pays off big time (it is kind of a lottery).

Answer:

1 and 1/5 is the answer to this problem