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2 years ago

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

Mathematics

1 answer:

ella [17]2 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.

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Let f(x)=1/2x2+4. The function g(x) is a vertical stretch of f(x) by a factor of 4. What is the equation of g(x)?

andrey2020 [161]

The equation of g(x) is $g(x)=2 x^{2}+16$

Explanation:

Given that the function f(x) is $f(x)=\frac{1}{2} x^{2}+4$

Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.

We need to determine the equation of g(x)

Equation of g(x):

The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).

Thus, we have,

$g(x)=4 f(x)$

Substituting the values,we have,

$g(x)=4\left(\frac{1}{2} x^{2}+4\right)$

Simplifying the values, we get,

$g(x)=2 x^{2}+16$

Hence, the equation of g(x) is $g(x)=2 x^{2}+16$

6 0

2 years ago

The circumference of a circle is 20 meters.What is the area

Alex

Answer: the area is 80

Step-by-step explanation:

7 0

2 years ago

Solve the system of equations - 8x + 3y = -17 and 3x - y = 7 by combining the equlations.

NeTakaya

Given :

Two equations :

-8x + 3y = -17 ....1)

3x - y = 7 ....2)

To Find :

The solution of the system.

Solution :

Multiplying equation 2) by 3 and adding with equation 1), we get :

(-8x + 3y) + 3(3x - y) = -17 + 21

x = 4

Putting above value of x equation 2) we get :

12 - y = 7

y = 5

Therefore, solution of system is ( 4,5 ).

8 0

3 years ago

If f(x) = x 2 + 1 and g(x) = 3x + 1, find [f(2)-g(1)] 2. 1 2 9

arsen [322]

Put the argument value where the variable is, then evaluate.
For f(x), you want f(2).
f(2) = 2² + 1 = 4+1 = 5

For g(x), you want g(1).
g(1) = 3·1 +1 = 4

For [f(2) - g(1)] you want the difference of the above values.
[f(2) - g(1)] = [5 - 4] = 1

8 0

3 years ago

When x = 5 and y = 6, x2 + 3(x+y)= (Type an integer or a decimal

Marta_Voda [28]

Answer:

Step-by-step explanation:

We are given everything we need, all you need to do is plug in 5 for x and 6 for y.

(5)2 + 3(5+6) =

= 10 + 3(11)

= 10 + 33

= 43

6 0

2 years ago