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ki77a [65]
2 years ago
8

GUYS PLS HELP ME WITH THIS SUPER HARD MATH PROBLEM 2+2

Mathematics
1 answer:
Lynna [10]2 years ago
5 0
Is 4 jajajajajajaj 2+2= 4
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Which of the following is a solution to 2cos2x − cos x − 1 = 0?
Pavel [41]

Answer:

Option A is correct.

Solution for the given equation is, x = 0^{\circ}

Step-by-step explanation:

Given that : 2\cos^2x -\cos x -1 =0

Let \cos x =y

then our equation become;

2y^2-y-1= 0           .....[1]

A quadratic equation is of the form:

ax^2+bx+c =0.....[2] where a, b and c are coefficient and the solution is given by;

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}

Comparing equation [1] and [2] we get;

a = 2 b = -1 and c =-1

then;

y = \frac{-(-1)\pm \sqrt{(-1)^2-4(2)(-1)}}{2(2)}

Simplify:

y = \frac{ 1 \pm \sqrt{1+8}}{4}

or

y = \frac{ 1 \pm \sqrt{9}}{4}

y = \frac{ 1 \pm 3}{4}

or

y = \frac{1+3}{4} and y = \frac{1 -3}{4}

Simplify:

y = 1 and y = -\frac{1}{2}

Substitute y = cos x we have;

\cos x = 1

⇒x = 0^{\circ}

and

\cos x = -\frac{1}{2}

⇒ x = 120^{\circ} \text{and} x = 240^{\circ}

The solution set:  \{0^{\circ}, 120^{\circ} , 240^{\circ}\}

Therefore, the solution for the given equation  2\cos^2x -\cos x -1 =0 is, 0^{\circ}





8 0
4 years ago
Read 2 more answers
What is the maximum value of the derivative of f(x)= 3x^2+x^3
son4ous [18]

Answer:

Maximum Value: ∞

General Formulas and Concepts:

<u>Calculus</u>

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x² + x³

<u>Step 2: Find Derivative</u>

  1. Basic Power Rule:                    f'(x) = 2 · 3x²⁻¹ + 3 · x³⁻¹
  2. Simplify:                                    f'(x) = 6x + 3x²

<u>Step 3: Analyze</u>

We see that our derivative is the graph of some sort of parabola. The parabola would be opening upwards.

Therefore, the maximum value of the derivative would be ∞, as the parabola's output <em>y</em> infinitely increases.

5 0
3 years ago
The geometry of the hybrid orbitals about a central atom with sp3d hybridization is:________
Lyrx [107]

For sp3d hybridized central atoms, the only possible molecular geometry is trigonal bipyramidal.

Hybridisation (or hybridization) is a process of mathematically combining two or more atomic orbitals from the same atom to form an entirely new orbital different from its components and hence being called as a hybrid orbital.

In this case, if all the bonds are in place, the shape is also trigonal bipyramidal.

In chemistry, a trigonal bipyramid formation is a molecular geometry with one atom at the center and 5 more atoms at the corners of a triangular bipyramid.

Bond angle(s): 90°, 120°

Coordination number: 5

Point group: D3h

For more information about orbitals, visit

brainly.com/question/25886221

#SPJ4

8 0
2 years ago
If you know this answer plz help me out asap​
Svetach [21]

Answer:

the answer is D.

Step-by-step explanation:

(2s-5+4s-13)*2=108

(6s-18)*2=108

12s-36=108

12s=108+18

s=12

2*12-5=24-5=19 mi

4*12-13=48-13=35 mi

8 0
3 years ago
Read 2 more answers
3. READING In the seventh grade, Rachel
hjlf
The percent of increase is 20%. 
In order to solve this problem you have to solve this equation:
18-15/15 
3/15
0.2 = 20%
6 0
3 years ago
Read 2 more answers
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