Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.
Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:
The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.
Answer:
Step-by-step explanation:
-A rectangle's area is given by:
Given A=
and 
, we substitute in the formula to solve for the width as follows:
Hence , the rectangle's width is 
7 1/2 = 15/2 = 60/8
4 7/8 = 39/8
60/8 + 39/8 = 99/8 = 12 3/8 yards
The sequence above is geometric progression.
The nth term of such sequence is given by;
Tn = ar∧(n-1),
Where a⇒first term and
r⇒common ratio
So, 1st term = 5×1.25∧(1-1) = 5×1.25∧0 =5
2nd term = 5×1.25∧(2-1) = 5×1.25 = 6.25
3rd term = 5×1.25∧(3-1) = 5×1.25² = 7.8125
4th term = 5×1.25∧(4-1) =5×1.25³ = 9.765625
5th term = 5×1.25∧(5-1) = 5×1.25∧4 = 12.20703125
6th term = 5×1.25∧(6-1) = 5×1.25∧5 = 15.25878909
Answer:
- A. g(x) =
![\sqrt[3]{x - 4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20-%204%7D)
Step-by-step explanation:
<u>Given function</u>
Graphed is, horizontal translation right 4 units.
<u>This is:</u>
or
- g(x) =
Correct choice is A
