Draw a number line. Plot -1 on the number line and make this a filled in circle. Shade to the right of the filled in circle to indicate the set of values x such that 
So x could be -1 or it could be larger. The fact that x = -1 is possible is why we have a closed or filled in circle (instead of an open hole) at this endpoint.
Answer:
The correct option is;
17,202 feet
Step-by-step explanation:
The distance from the observer to the bird is given as 21,000 ft
The angle between the line of flight of the bird to the horizontal line from its nest = 35°
With the triangle BNO = A right triangle, we have;
The distance of the bird from its nest = Adjacent leg of the right triangle
The distance of the observer from the bird = Hypotenuse length
Which by trigonometric relations gives;

21,000×cos(35 degrees) = The distance of the bird from its nest = 17,202.2 feet ≈ 17,202 feet.
4.3 Solving 3x2-2x-1 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = -2
C = -1
Accordingly, B2 - 4AC =
4 - (-12) =
16
Applying the quadratic formula :
2 ± √ 16
x = —————
6
Two real solutions:
x =(2+√16)/6
or:
x =(2-√16)/6
Answer:
(-4, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations by substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-3x - 3y = 3
y = -5x - 17
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -3x - 3(-5x - 17) = 3
- Distribute -3: -3x + 15x + 51 = 3
- Combine like terms: 12x + 51 = 3
- Isolate <em>x</em> term: 12x = -48
- Isolate <em>x</em>: x = -4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -5x - 17
- Substitute in <em>x</em>: y = -5(-4) - 17
- Multiply: y = 20 - 17
- Subtract: y = 3
Answer:
25%
Step-by-step explanation:
Given data
Last years shipment= 37220 lamps
These years shipment= 29776 lamps
% Decrease= Initial-Final/Initial*100
% Decrease= 37220-29776/29776*100
% Decrease= 7444/29776*100
% Decrease= 0.25*100
% Decrease= 25%
Hence the decrease is 25%