Answer
at first I said 1/2 but it's 2/5's.
Step-by-step explanation:

Answer:
6 1/6
Step-by-step explanation:
-2 1/2 * 3 1/3
-2 * -3 = 6
1/2 * 1/3 = 1/6
Answer:
f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distributive Property
- Expand by FOIL (First Outside Inside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = x² + 3x³
f(x + h) is x = x + h
<u>Step 2: Simplify</u>
- Substitute: f(x + h) = (x + h)² + 3(x + h)³
- Expand by FOILing: f(x + h) = (x² + 2hx + h²) + 3(x + h)³
- Rewrite: f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
- Expand by FOILing: f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
- Distribute/Expand: f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
- Distribute 3: f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
- Combine like terms: f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx
Answer:
Total number of students surveyed about their mode of transportation to school is 400.
Step-by-step explanation:
Here, given student who uses car as their mode of transport = 120 students
We have to find the total number of students who are surveyed.
Also, since complete circle represents 100% of data,
Total students who uses at least one mode of transport out of foot, bicycle, bus or car let it be x students.
Total percentage of students that uses bus, bicycle and on foot = (20 +15+35)% = 70%
Thus, percentage of students that uses car = 100 - 70 = 30%
Thus, 30 % of total students = 120
Mathematically, 30% of x = 120
Solving for x, we get,



Thus, total number of students surveyed about their mode of transportation to school is 400.