Answer:
9+x<12
Step-by-step explanation:
add 9 to an unknown number.
9+x
use the < less than symbol (instead of an equal sign) and write 12.
Answer:
9:01
2:36
3:40
Step-by-step explanation:
The simplified expression of 32/5 x 3(-7/5) is -672/25
<h3>How to simplify the expression?</h3>
The mathematical expression is given as:
32/5 x 3(-7/5)
Evaluate the product of 3 and -7/5
32/5 x 3(-7/5) = 32/5 x -21/5
Evaluate the product of 32 and -21
32/5 x 3(-7/5) = 672/5 x -1/5
Evaluate the product of 5 and 5
32/5 x 3(-7/5) = 672/25 x -1
So, we have:
32/5 x 3(-7/5) = -672/25
Hence, the simplified expression of 32/5 x 3(-7/5) is -672/25
Read more about expressions at:
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The usual margin of error we strive for is a 95% probability that our estimate is within the margin. Assuming a normal distribution (and that we have a big enough sample not to worry about t tests) that corresponds to between minus and plus two standard deviations of the mean (remember the 68-95-99.7 rule). So our margin of error is plus or minus two standard deviations.
Answer: ±2%
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
