2^x-4x=0 find the value of x in the equation
1 answer:
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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Answer:
a) 24
b) 10
c) 12/13
d) 5/13
e) 12/5
Step-by-step explanation:
a) We can see that the leg opposite <C is AB, and we are given AB = 24
b) We can see the leg adjacent to <C is AC, and we are given that AC = 10
c) The trig function sine is equal to
The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:
d)The trig function cosine is equal to
The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:
d)The trig function tangent is equal to
The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:
check the picture below.
radius = 3 feet
rearrange the formula making r the subject
πr³ = V ( multiply both sides by 3 to eliminate fraction )
4πr³ = 3V ( divide both sides by 4π )
r³ = = ( 3 × 36π ) / 4π = 3 × 9 = 27
take the cube root of both sides
r = = 3