Answer:
intervals (-3,-1) and (0,+infinity)
Step-by-step explanation:
if f'(x)>0 then f is increasing
Answer:
26 m
Step-by-step explanation:
Perimeter = 92 m
Length = 8 m more than width
Width: 20 m
Therefore,
<h2>length=26 m</h2>
Answer:
200 pounds 20% raisins
800 pounds 5% raisins
Step-by-step explanation:
Let number of 5% be x
and number of 20% be y
x + y = 1000
Also;
5% of x + 20-% of y = 8% of 1000 pounds
= 0.05x + 0.2y = 80
From i , x = 1000-y
0.05(1000-y) + 0.2y = 80
50-0.05y + 0.2y = 80
0.15y = 30
y = 200
x = 1000 - y
= 1000-200 = 800
Answer: 11
Step-by-step explanation:
Since the equation of circumference is 2(r)pi
if 22pi=2(r)pi
then 22=2r
22=2r
r=11
Answer:
(-4, -8)
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
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - 2y = 12
5x + 3y = -44
<u>Step 2: Rewrite Systems</u>
x - 2y = 12
- [Multiplication Property of Equality] Multiply everything by -5: -5x + 10y = -60
<u>Step 3: Redefine Systems</u>
-5x + 10y = -60
5x + 3y = -44
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine 2 equations: 13y = -104
- [Division Property of Equality] Divide 13 on both sides: y = -8
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: x - 2y = 12
- Substitute in <em>y</em>: x - 2(-8) = 12
- Multiply: x + 16 = 12
- [Subtraction Property of Equality] Subtract 16 on both sides: x = -4