Answer:
x = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
0.4(12 - 3x) = 0.3(12x - 16)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 4.8 - 1.2x = 3.6x - 4.8
- Add 1.2x on both sides: 4.8 = 4.8x - 4.8
- Add 4.8 on both sides: 9.6 = 4.8x
- Divide 4.8 on both sides: 2 = x
- Rewrite: x = 2
The average rate of change of a function f(x) in an interval, a < x < b is given by
Given q(x) = (x + 3)^2
1.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -4 is given by
2.) The average rate of change of q(x) in the interval -3 ≤ x ≤ 0 is given by
3.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -3 is given by
4.) The average rate of change of q(x) in the interval -3 ≤ x ≤ -2 is given by
5.) The average rate of change of q(x) in the interval -4 ≤ x ≤ -3 is given by
6.) The average rate of change of q(x) in the interval -6 ≤ x ≤ 0 is given by
35/100= x/80 x=28 8/100=x/5 x=0.4 50/100=x/125 x=62.5 12/100=48/x x=400
Num. 4 no because 5t2 doesn't equal 10 …or equals7