Answer:
h < -13/3
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 Inequality</u>
h - 8 > 4h + 5
<u>Step 2: Solve for </u><em><u>h</u></em>
- Subtract <em>h</em> on both sides: -8 > 3h + 5
- Subtract 5 on both sides: -13 > 3h
- Divide 3 on both sides: -13/3 > h
- Rewrite: h < -13/3
Here we see that any value <em>h</em> smaller than -13/3 would work as a solution to the equation.
First denominator -- x
<span>first numerator ---- x-2 </span>
<span>new denominator -- x+3 </span>
<span>new numerator ---- x+1 </span>
<span>(x-2)/x + 3/20 = (x+1)/(x+3) </span>
<span>times 20x(x+3) , the LCD </span>
<span>20(x+3)(x+1) + 3x(x+3) = 20x(x+1) </span>
<span>expanding and simplifying gave me </span>
<span>x^2 + 3x - 40 = 0 </span>
<span>(x-5)(x+8) = 0 </span>
<span>x = 5 or x=-8 </span>
<span>if x=5, the original fraction was 3/5 </span>
<span>if x=-8 the original fraction was -10/-8 or 5/4 </span>
<span>check for 3/5 , new fraction would be 6/8 or 3/4 </span>
<span>3/5 + 3/20 = 12/20 + 3/20 = 15/20 = 3/4 </span>
<span>but for 5/4, new fraction would be 8/7 </span>
<span>5/4 + 3/20 = 28/20 = 7/5 ≠ 8/7 </span>
<span>BUT, if we take the unsimplified fraction -10/-8 , new fraction would be -7/-5 = 7/5 </span>
<span>So the original fraction would be 3/5 for sure, but </span>
<span>also the unsimplified fraction -10/-8</span>
The answer is G, combining 2 and 4 make 6, meaning the longest straw would have to be 6 centimeters
Answer:
Is 4000 the answer is 4000.the answer is 4000
<span>that's a separable DE..
dy/5-y=dx
</span>ln(y-5) = x+K => take e^(each side)
<span>y-5 = e^(x+K) = e^(x)*e^(K) => Redefine e^K = C </span>
<span>y-5 = C*e^(t) => Add 5 to both sides </span>
<span>y=C*e^(x) + 5 =></span>