Answer:
Step-by-step explanation:
External angle equals to the sum of opposite internal angles
z - 41° + z - 20° = z + 40°
2z - 61° = z + 40°
2z - z - 61° = 40°
z - 61° = 40
z = 40° + 61°
z = 101°
Answer:
f(-3) = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = -1x - 4
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(-3) = -1(-3) - 4
- Multiply: f(-3) = 3 - 4
- Subtract: f(-3) = -1
Answer:
242, 900 people
Step-by-step explanation:
To begin, it says that the population grew by 5%.
(241000)(1.00 + 0.05) = <em>population of the city in 2015</em>
(241000)(1.05) = 253050
253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.
(253050)(1.00 - 0.04) = <em>population of the city in 2020</em>
(253050)(0.96) = 242928
242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.
Therefore, the answer would be 242, 900 people.
Answer:
Step-by-step explanation:
You shift up and down when there is a value at the end of the function outside of the parentheses. Since it is -1, you shift down one.
You shift left and right when there is a value inside the parentheses. Since it is 2, you shift left 2. Remember that you always shift left if the number positive and you shift right when it is negative.
Answer:
-4x^2-28x
Step-by-step explanation:
Distribute
-4x(x) and -4x(-7)
-4x^2 and -28x
