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siniylev [52]
3 years ago
9

What are the values of x in the following equation:

Mathematics
1 answer:
wariber [46]3 years ago
4 0
OK.  Concentrating only on the first log, here's how it works out:

               log [  x · (6x + 1) ]  =  log (6x² + x) .

Now looking at the whole left side, it says

                          log (6x² + x)  - log (x)

which is            log [ (6x² + x) / x ]

                     =  log (6x + 1).

So now we have

                                            log (6x + 1)  =  7

Raise 10 to the
power of each side:            6x + 1  =  10⁷

                                              6x         =  9,999,999

                                                x         =  9,999,999 / 6

                                                           =  1,666,666.5       

This number works when you plug it into the original equation.

I'm sorry, but just now, I don't see where a second solution would come from.
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G(x) = x to the power of 2 - 6 over 3x + 10 & g(4) = what over what
dalvyx [7]

Answer:

We have that:

g(x) = \frac{x^2 - 6}{3*x + 10}

And we want to find the value of g(4)

Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.

If we do that, we get:

g(4) = \frac{4^2 - 6}{3*4 + 10}

Now we can just solve this to get:

g(4) = \frac{4^2 - 6}{3*4 + 10} = \frac{16-6}{12-10} = \frac{10}{2}  = 5

8 0
3 years ago
Which equation represents the linear relationships shown in the table?
saveliy_v [14]

Answer:

idk

Step-by-step explanation:

4 0
3 years ago
Persons who work as sales managers, therapists, and teachers may be high in ____ intelligence.
Basile [38]
These are all service professions and ones in which the individual does well if they are in tune with how their clients, patients and students are feeling/understanding. Therefore, it is likely that people who excel in these fields are high in "emotional intelligence."
7 0
2 years ago
In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll
maxonik [38]

Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_x\ p^x(q)^{n-x}, where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

4 0
3 years ago
Write 3×1/6 in simplest form
Finger [1]

3 x 1/6

Simplify,

3/6 = 1/2

So, = 1/2

5 0
3 years ago
Read 2 more answers
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