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3 years ago

Consider the system of inequalities and its graph.

Mathematics

2 answers:

Reil [10]3 years ago

6 0

Answer:

Step-by-step explanation:

Juli2301 [7.4K]3 years ago

6 0

i do not know what this is

Step-by-step explanation:

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How do you solve for x? <img src="https://tex.z-dn.net/?f=%20log_%7B6%7D%2836%29%20%20%3D%205x%20%2B%206" id="TexFormula1" ti

Paladinen [302]

The value of x in the given equation is $-\frac{4}{5}$

From the question,

We are to solve the given equation

The given equation is

$log_{6}(36) = 5x +6$

This becomes

$log_{6}(6^{2} ) = 5x +6$

From one of the laws of logarithms, we have that

$log_{x}(x^{2} ) = 2log_{x}(x)$

and

$log_{x}(x) = 1$

∴ $log_{6}(6^{2} ) = 5x +6$ becomes

$2log_{6}(6) = 5x +6$

and

$2(1)= 5x +6$

$2 = 5x +6$

Now, subtract 6 from both sides

$2-6 = 5x +6-6$

$-4 = 5x$

∴ $x = -\frac{4}{5}$

Hence, the value of x in the given equation is $-\frac{4}{5}$

Learn more on solving equations here: brainly.com/question/11802986

4 0

2 years ago

Read 2 more answers

The average diameter of sand dollars on a certain island is 4.00 centimeters with a standard deviation of 0.60 centimeters. If 1

blagie [28]

Answer:

0.8413 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.00 centimeters

Standard Deviation, σ = 0.60 centimeters

Sample size, n = 16

We are given that the distribution of average diameter is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.60}{\sqrt{16}} = 0.15$

P(diameter of sample is more than 3.85 centimeter)

P(x > 3.85)

$P( x > 3.85) = P( z > \displaystyle\frac{3.85 - 4}{0.15}) = P(z > -1)$

$= 1 - P(z \leq -1)$

Calculation the value from standard normal z table, we have,

$P(x > 3.85) = 1 -0.1587 = 0.8413$

0.8413 is the probability that the the average diameter of sample of 16 sand dollars is more than 3.85 centimeters.

4 0

3 years ago

3. Find two rational numbers between 3 and 4 by mean method.

antiseptic1488 [7]

Here is the answer:)))

5 0

3 years ago

Find the value of b. PLEASE HELP ASAPPPP!!!! A. 56 B. 140 C. 230 D. 65

Finger [1]

Answer:

Step-by-step explanation:

b=360-2(65)=360-130=230

8 0

2 years ago

Find the slope of the line that passes through the points.

Diano4ka-milaya [45]

Answer:

its 41

Step-by-step explanation:

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3 0

2 years ago