Answer:
f(g(3)) = -7
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) = -2x + 7
g(x) = x² - 2
<u>Step 2: Find f(g(3))</u>
- Substitute in <em>x</em> [Function g(x)]: g(3) = 3² - 2
- Evaluate exponents: g(3) = 9 - 2
- Subtract: g(3) = 7
- Substitute in g(3) [Function f(x)]: f(g(3)) = -2(7) + 7
- Multiply: f(g(3)) = -14 + 7
- Add: f(g(3)) = -7
Answer:
B. /AB/ = units
Step-by-step explanation:
A quadrilateral is the class of four sided figures. Examples include: squares, rectangles, rhombus, kite, parallelogram, trapezium etc.
From the graph, the quadrilateral is in the form of a trapezium.
the length of the side AB can be determined by:
Draw a perpendicular from B to meet AD at E to form triangle ABE,
From triangle ABE, AE = 3 units and BE = 6 units. Applying the Pythagoras theorem to determine the length AB, we have;
= +
= +
= 36 + 9
= 45
Find the square root of both sides,
/AB/ =
Thus,
/AB/ = units
To find this answer you first calculate what 3 odd numbers give you 9. These come out to 1+3+5. Then you just test it out which would then give you 21+23+25 = 69
3 more months but you'll have an extra 200.