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RSB [31]
3 years ago
9

HELP!!!!!

Mathematics
2 answers:
liubo4ka [24]3 years ago
7 0
(x+2)(x+3) is your answer

gavmur [86]3 years ago
4 0
P(6)=3*2*6=36

.............
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Please hurry! This is due soon.
kotykmax [81]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

f(x)=\frac{e^7^x+\sqrt{3}}{2}

y=\frac{e^7^x+\sqrt{3}}{2}

x=\frac{e^7^y+\sqrt{3}}{2}

2x=e^7^y+\sqrt{3}

e^7^y=2x-\sqrt{3}

7y=ln(2x-\sqrt{3})

y=\frac{ln(2x-\sqrt{3})}{7}

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

g(f(x))

g(\frac{e^7^x+\sqrt{3}}{2})

\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}

2s cancel.

\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}

The natural log and e cancel.

\frac{7x+\sqrt{3}-\sqrt{3}}{7}

\sqrt{3}s cancel.

\frac{7x}{7}

7s cancel.

x

Hope this helps!

3 0
3 years ago
In the most recent election, 19 percent of all eligible college students voted. If a random sample of 20 students were surveyed,
lora16 [44]

Answer:. This would be 0.81^20 for none of the 19=0.0148

Step-by-step explanation:With a tree diagram, there are two possibilities, one is ND from 1 D from 2, with probability (5/8)(2/5)=(1/4) and the other is (3/8)(3/5)=9/40 That would be 19/40 for the answer.

3. Poisson parameter lambda=5

for P(0), it is e^(-5)(5^0)/0! or e^(-5)=0.0067

 

for P(1), it is e^(-5)(5^1)/1! or 5e(-5)

The total probability is 6e^-5 or 0.0404

4. the mean is 1000 hours, so lambda is the reciprocal or 1/1000

the probability it will last <800 hours is 1-e^(-800*1/1000) or 1-e^(-.8)=0.5507

5. assume p=0.4 since it ca't be 4

sd is sqrt (np*(1-p))=sqrt (6*0.6=sqrt(3.6)=1.90

7 0
3 years ago
Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2 when y =
Sergeeva-Olga [200]

Answer:

y = \frac{22}{x}

Step-by-step explanation:

given that y varies inversely with x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition x = 2 when y = 11

k = yx = 11 × 2 = 22

y = \frac{22}{x} ← equation of variation

4 0
3 years ago
Read 2 more answers
Express the solution graphically of – }(2x + 1) &lt; 3.
Anit [1.1K]

Answer:

The third one counting from the top.

Step-by-step explanation:

We have the inequality:

(-1/3)*(2x + 1) < 3

The first thing we need to do is isolate x on one side of the inequality.

First we can by -3 in both sides of the inequality, and remember, because we are multiplying by a negative number, the inequality sign changes its direction:

(-3)*(-1/3)*(2x + 1) > 3*(-3)

(2x + 1) > -9

Now we can subtract 1 in both sides:

2*x + 1 - 1 > -9 - 1

2*x > -10

Now we can divide by 2 in both sides:

2*x/2 > -10/2

x > -5

Then we should see a number line such that all the points at the right of -5 are colored.

The correct option is the third one, counting from the top.

7 0
3 years ago
In this figure, 52. 9% of the area is painted yellow. How much of the area is painted yellow?22. 218 in²25. 921 in²44. 436 in²48
Paraphin [41]

Answer:

its 48.139

Step-by-step explanation:

i also needed help , but i only saw this so i guessed the answer and it is 48.139.

5 0
2 years ago
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