Answer:
x = - 2
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4
Equating to zero, that is
x² + 4x + 4 = 0 ← left side is a perfect square
(x + 2)² = 0, thus
x + 2 = 0 ⇒ x = - 2
Answer:
The correct option is A.
Step-by-step explanation:
The general exponential growth model is defined as

Where, a is initial value, r is growth rate and x is time.
The initial population of town is 9800 and growth rate is 2%. The population growth model is defined as



Put x=7 to find the estimated population after 7 years.


Therefore the correct option is A.
Answer:
A ≈ 40°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = A
Opposite Leg = 27
Hypotenuse = 42
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute [sine]: sinA = 27/42
- Simplify: sinA = 9/14
- Trig inverse: A = sin⁻¹(9/14)
- Evaluate: A = 40.0052°
- Round: A ≈ 40°
The odds against selecting a red marble is =2/11
<h3>Calculation of probability</h3>
The number of marbles which were red = 9
The number of marbles which were blue = 2
The total amount of marbles in the Box = 11
When one marble is picked at random from the box, the odds against selecting a red marble can be gotten through the blue marble.
That is, the number of blue marble/ total marble
= 2/11
Learn more about probability here:
brainly.com/question/24756209
#SPJ1
Answer:
its c ! just took the test :)