Answer:
1. x > 9
2. n < 5
3. b > 2
4. p < 4
5. p < -2
6. m > 0
Step-by-step explanation:
1.
x - 2 - 2 > 5
x - 4 > 5
x > 5 + 4
x > 9
2.
5 + n < 2 x 5
n < 10 - 5
n < 5
3.
50b > 100
b > 100 : 50
b > 2
4.
-5 + p + 2 < 1
p < 1 + 3
p < 4
5.
p + 6 + 8 < 12
p + 14 < 12
p < 12 - 14
p < -2
6.
80m - 64 - 2 > -66
80m > -66 + 66
m > 0:80
m > 0
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (14, 4)
Point (21, 6)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>
- Substitute in points [Slope Formula]:

- [Fraction] Subtract:

There is a total of 10 marbles, of which 5 marbles are red.

Therefore the second choice is the correct answer.
The formula for this is
A = P(1 + r/100)^n where P = initial investment, r = compound interest as per cent, and n = number of years.
so here we have
A = 12000(1 + 1.5/100) ^ 2 = 12000 * 1.015^2 = £12,362.70
Answer:
The equation of a parallel line in point-slope form would be f(x) = -5/3x - 14
Step-by-step explanation:
To find this, we must first find the slope of the original line. We can do this by solving for y.
5x + 3y = 8
3y = -5x + 8
y = -5/3x + 8/3
Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.
y - y1 = m(x - x1)
y + 9 = -5/3(x + 3)
y + 9 = -5/3x - 5
y = -5/3x - 14
Then to get the function notation, we need to replace the y with f(x).
f(x) = -5/3x - 14