Answer:
x < -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
9(2x + 1) < 9x - 18
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 9: 18x + 9 < 9x - 18
- Isolate <em>x</em> terms: 9x + 9 < -18
- Isolate <em>x</em> term: 9x < -27
- Isolate <em>x</em>: x < -3
Here we see any value <em>x</em> smaller than -3 would work as a solution to the inequality.
76.9
For rounding, any number 5 and up rounds up and any number below 5 rounds down
Also, numbers in the decimal start with tenth, hundredth and so on
Answer:
√85
Step-by-step explanation:
The distance formula is used for this purpose.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((3 -5)² +(5 -(-4))²) = √((-2)² +9²) = √(4 +81)
d = √85 . . . . the distance between the two points
Answer:
A: initial value: $750; rare of change: $60
B: y = 60t + 750
Step-by-step explanation:
Initial value = value when he started ( in 2000) =$ 750
Each year he add a constants to that value
'y' will be the amount he get after t years a amount increase each year
y = 750 + at
In 2010 his free = 1350
t = 2010 - 2000 = 10 year
y = 1350
y = 750 + at
1350 = 750 + 10 a
600 = 10a
a = 60
y = 750 + 60t ( his fee as a function of time)
In slope form: y = 60t + 750
He increases he fee by $60 a year.