Answer:
f(x + 3) = -x² - 8x - 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Function Notation
- Expanding
- Terms/Coefficients/Degrees
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -x² - 2x + 2
f(x + 3) is x = x + 3
<u>Step 2: Find</u>
- Substitute in <em>x</em>: f(x + 3) = -(x + 3)² - 2(x + 3) + 2
- Expand: f(x + 3) = -(x² + 6x + 9) - 2x - 6 + 2
- Distribute -1: f(x + 3) = -x² - 6x - 9 - 2x - 6 + 2
- Combine like terms: f(x + 3) = -x² - 8x - 13
Answer:
(2n + k) - 7
Step-by-step explanation:
1. Let ''a number'' be presented as n
2. ''twice a number'' → 2
n
3. ''twice a number and k'' → 2n + k
4. 7 less than twice a number → (2h + k) - 7
Google it!
Answer:
95% since 19÷20 is 0.95 which multiplied by hundred is 95
Answer:
It took Peter 28 minutes and 10.82 seconds to finish the race.
Step-by-step explanation:
We have that:
: Antonio = 28 min + 11.00 s (1)
: Julio = A - 0.08 s (2)
: Pete = J - 0.1 s (3)
Then, the time at which Pete finished the race is:
(4)
By entering equations (1), (2), (3) into (4) we have:
Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.
I hope it helps you!
Answer:
Step-by-step explanation:
Suppose :
62% own an HDTV
16% own a computer
Using the addition rule : suggests that (62% + 16%) = 78% either own an HDTV or a computer.
The reasoning is wrong because ; since it is possible to own both an HDTV and also own a computer at the same time, the outcome of the addition rule is wrong as both events are independent. If both event cannot occur at the same time (mutually exclusive event) , then, the addition rule may be applied,. But since both can occur independently and each family can own an HDTV while also owning a computer, then the addition rule is wrong for the scenario described.
