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guapka [62]
3 years ago
9

Consider the following equation. 6 ^ ( -x ) + 4 = 3x -1

Mathematics
2 answers:
maw [93]3 years ago
6 0

Answer:

1.68

Step-by-step explanation:

1. Move all of the terms to the left side and set the problem equal to zero.

2. Set each factor equal to zero.

Molodets [167]3 years ago
5 0

For this case we have the following equation:

6 ^ {- x} + 4 = 3x-1

We must clear the value of x, we follow the steps below:

We subtract 3x on both sides of the equation:6 ^ {- x} -3x + 4 = -1

Add 1 to both sides of the equation:

6 ^ {- x} - 3x + 4 + 1 = -1 + 1\\6 ^ {- x} - 3x + 5 = 0

Each side of the equation is drawn, then the solution is the x value of the intersection point.

x = 1.68

Answer:

See attached image

x = 1.68

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Which problem can be solved using the equation shown? 2 dollars and 50 cents x minus 2 dollars = 10 dollars and 50 cents Will bo
Black_prince [1.1K]

Step-by-step explanation:

Will bought several books that cost $ 2.50 each and received a $ 2 discount on the total bill. If he paid $ 10.50, how many books did he buy ?

2.50x  - 2.00 = 10.50

2.50x = 10.50 + 2.00

2.50x = 12.50

x = 12.50/2.50

x = 5....he bought 5 books

4 0
3 years ago
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Discuss the political, economic and social organisation of buganda kingdom during the pre colonial period​
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3 years ago
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
Korolek [52]

Answer:

A sample of 499 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this question, we have that:

\pi = 0.21

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03

We need a sample of n, which is found when M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.21*0.79}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.645\sqrt{0.21*0.79}}{0.03}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.21*0.79}}{0.03})^2

n = 498.81

Rounding up

A sample of 499 is needed.

8 0
3 years ago
11499 round to the nearest thousand
Likurg_2 [28]
You forgot to put the decimal in there so i could round it 

4 0
3 years ago
Read 2 more answers
49 more than the quotient of an unknown number and 12 is 53. What is the value of the unknown number?
lara [203]
Unknown = x

the quotient of x and 12 is x/12 than 49 more than that is 53,
(x/12)+49=53, now use basic math and solve

-49 from both side,
x/12=4

*12 to both side,
x=48

therefore the unknown number is 48

4 0
3 years ago
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