Answer:
156
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
- Average Rate of Change:
Step-by-step explanation:
<u>Step 1; Define</u>
<em>Identify</em>
f(x) = 5ˣ + 1
Interval <em>x</em> [0, 4] →<em>b</em> = 4, <em>a</em> = 0
<u>Step 2: Find Rate of Change</u>
- Substitute in variables [Average Rate of Change]:

- [Average Rate of Change] Substitute in <em>x</em> [Function f(x)]:

- (Parenthesis) Evaluate exponents:

- (Parenthesis) Add:

- [Fraction] Subtract:

- Divide:

Since PQ is tangent to the circle, angle PQO is 90°.
Since the sum of angles of any triangle must be 180° we can say:
180-90-12=x thus:
x=78°
Answer:
T= -36
Step-by-step explanation:
T + 8 x 18 = 108
Multiply 8 and 18
T + 144 = 108
Subtract 144 from both sides to get T alone
T = -36
Answer:
A=3.5
B=4.5
C=9.5
Step-by-step explanation:
You can solve A and C with the last two equations through trial and error
then you plug in the solved A into the first equation to solve for B
Answer:
-1
Step-by-step explanation:
The midline is the average of the maximum and minum.
0.5 = (y + 2) / 2
1 = y + 2
y = -1
The minimum is at y=-1.