Ask question

Ask question

All categories

3 years ago

13

2^x-4x=0 find the value of x in the equation

1 answer:

ella [17]3 years ago

3 0

9514 1404 393

Answer:

x ≈ 0.309906932381 or 4

Step-by-step explanation:

There are no algebraic methods of solving a mixed exponential and polynomial equation. The value of x can be found by guessing, or by other means such as trial and error or graphing.

Attached is a graph showing two solutions. x = 4 is the integer solution (2^4 = 4·4). The irrational solution is approximately x ≈ 0.309906932381. That precision is obtained by Newton's method iteration, easily done by a graphing calculator.

You might be interested in

Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What

Ede4ka [16]

Answer:

None of these choices are correct.

Step-by-step explanation:

The quoted value of 99.875, means that this bond is sold at 99.875% of the face value and not at a price of $99.875.

Therefore, calculate price;

Price = 0.99875 * 1000

Price = $998.75

Since brokerage fees is 5.5% of the selling price, Leona will pay additional cost to the quoted price making the total cost to be more than $998.75;

Brokerage fees = (0.055*998.75) = $54.93

Total cost = $998.75 +$54.93

= $1053.68

Therefore, none of the choices is correct.

3 0

3 years ago

Which of the following is the product of the rational expression shown below

wolverine [178]

Option C: $\frac{x^{2}-9}{x^{2}-4}$ is the product of the rational expression.

Explanation:

The given rational expression is $\frac{x+3}{x+2} \cdot \frac{x-3}{x-2}$

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

Let us use the identity $(a+b)(a-b)=a^2-b^2$ in the above expression.

Thus, we get;

$\frac{x^{2} -3^2}{x^{2} -2^2}$

Simplifying the terms, we get;

$\frac{x^{2}-9}{x^{2}-4}$

Thus, the product of the rational expression is $\frac{x^{2}-9}{x^{2}-4}$

Hence, Option C is the correct answer.

6 0

3 years ago

Plz help by the way I have iPhone 11

Anon25 [30]

Answer:

3 times 4

Step-by-step explanation:

3 groups of 4...............

4 0

3 years ago

Read 2 more answers

What's the area of this square?

Natasha_Volkova [10]

12 multiplied by 12 equals 144.

6 0

4 years ago

Read 2 more answers

ritu can row downstream 20km in 2 hrs and upstream 4km in 2 hrs. find the speed of rowing in still water and the speed of the cu

Marina CMI [18]

Answer:

Speed of boat in still water is 6km/h

Speed of current is 4km/h

Step-by-step explanation:

We know speed = distance / time

Let the speed of boat in still water be x

Let the speed of current be y

Hence the speed of boat, down stream = $x+y$

Distance downstream = 20km

Time taken = 2 hours

We have

$x+y=\frac{20}{2}$

$x+y=10$ ......(1)

Speed of boat upstream = $x-y$

Distance upstream = 4

Time taken = 2

We have

$x-y=\frac{4}{2}$

$x-y=2$ ...(2)

Adding (1) & (2)

$2x=12$

$x=6$

Substituting in (1) we get

$y=4$

7 0

3 years ago