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3 years ago

What are the values of x in the following equation:

1 answer:

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