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lyudmila [28]
3 years ago
9

Order the steps to solve the equation log3(x + 2) = log3(2x2 − 1) from 1 to 6

Mathematics
2 answers:
son4ous [18]3 years ago
8 0
Unfortunately, you overlooked the need to share Steps 1-6.

Solve:  (log to the base 3 of)(x+2)= (log to the base 3 of) (2x^2-1).

Use (log to the base 3 of)(x+2) as the exponent of 3 in the equation 3 = 3:

  (log to the base 3 of)(x+2)           (log to the base 3 of) (2x^2-1)
3                                              =  3

This reduces to x+2 = 2x^2 -1, which, in turn, simplifies to 2x^2 - 1 - x - 2 = 0, or 

2x^2 - x - 3 = 0.  You could use the quadratic formula or some other method to solve this for x.  The roots are 3/2 and -1.
PilotLPTM [1.2K]3 years ago
6 0

Answer:


Step-by-step explanation:


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Answer:

p < - 15

Step-by-step explanation:

Given

\frac{p}{5} < - 3 ( multiply both sides by 5 to clear the fraction )

p < - 15

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10 children equally share 40 almonds <br> How many almonds will 3 children get
pochemuha
The answer is 12

Explanation:

First for this you need to find out how much each child gets

(40 divided by 10)
Each child gets 4 almonds.

If 3 children put their almonds together they will have 12.

(3 times 4)

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A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If she stakes the rope to t
deff fn [24]
25 seconds it would take

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What is the value of y in the parallelogram below?<br> G<br> 108<br> 3y<br> D<br> E
Arlecino [84]

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C

Step-by-step explanation:

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5 0
3 years ago
Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.
borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this question:

n = 14, p = 0.8

P(x>10)

P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501

P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501

P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539

P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440

P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981

So P(x > 10) = 0.6981.

8 0
3 years ago
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