Answer:
b. -17
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 4x + 3
f(-5) is x = -5
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(-5) = 4(-5) + 3
- Multiply: f(-5) = -20 + 3
- Add: f(-5) = -17
Answers
Part 1: 210
Part 2: 24
Explanation
Part 1
This is called combination.
ⁿCm means, the number of different combinations of m objects out of n objects.
¹⁰C₆ = 10!/10!(10-6)!
= 10!/(6!×4!)
=210
Part 2
This is called permutation.
If you have nPm, this means the number of permutations of m objects out of n.
It's solve as follows;
nPm = n!/(n-m)!
⁴P₃ =4!/(4-3)!
= 4!/1!
= 24
For both of them you just make them into fraction.
For #2

and then you simplify it
36. ÷12 3
-----. =. --------
120. ÷12 10
After this you want to change the fraction to a percentage.Percentage are out of 100
so you simply will multiply by 10 to the top and bottom
3. 30
----. * 10 =. -----. = 30%
10. 100
The answer is 30%
For number #3
you simply put 63 over 240
63
-----
240



21
----
80
is that answer because it can't be simplified
after that
Answer:
Linear: greater than 2011
Quadratic: lesser than 2011
Cubic: lesser than 2011
Step-by-step explanation:
At x = 2
Linear regression equation:
y = -6777.54(2) + 110001.04
y = 96445.96
More than 2011
Quadratic: y = -251.10(2)² - 2760.02(2) + 98618.06
y = 92093.62
lesser than 2011
Cubic: y = -6.23(2)² - 101.67(2)² - 3747.49(2) + 100142.23
y = 92190.73
lesser than 2011