Answer:
Step-by-step explanation:
a² - b² = (a+ b)(a - b)
1) (2n-4/2n) ÷ (n^2-4/n)
2) [y^2-36/y^2-49] ÷[ y+6/y-7]
3) [m^2-1/ m^2-m] ÷ [m^2-7m-8/3m
]
Hint : m² - 7m - 8
sum = -7
Product = -8
Factor = (-8), 1
m² - 7m - 8 =m² - 8m + m - 8
= m*(m - 8) + (m-8)
= (m - 8)(m +1)
Answer:
.
Step-by-step explanation:
Dilate a point 
by a scale factor of 
with 
as the center, and the resultant point would be at 
.
In this question:
Point to dilate: 
.
Scale factor: 
.
Center of dilation: 
.
The resultant point would be:
, which simplifies to .
We are given the electricity cost as 5 cents per
kilowatt-hour. We should notice that the cost is actually in the form of:
electrical cost = cost / (power * time)
Therefore to get a number which is in terms of cents
alone (cost alone), therefore we should multiply the given electrical cost
value with the power and time.
Power = 80 watt = 0.08 kilowatt
Time = 24 hours
Therefore the cost is calculated as:
cost = electrical cost * power * time
cost = [5 cents / (kilowatt hour)] (0.08 kilowatt) (24
hour)
cost = 9.6 cents
Answer:
<span>9.6 cents</span>
Answer:
Step-by-step explanation:
30 meters
Answer:
f(-3) = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x + 7
f(-3) is x = -3
<u>Step 2: Evaluate</u>
- Substitute: f(-3) = 2(-3) + 7
- Multiply: f(-3) = -6 + 7
- Add: f(-3) = 1
