Find 2 consecutive odd numbers given that difference between their resiprocal is 2/63
Answers
difference of reciprocals
1/(2n+1) - 1/(2n+3) = 2/63
((2n+3) - (2n+3))/(2n+1)(2n+3) =2/63
2/(4n^2 + 8n +3) =2/63
4n^2 + 8n +3 = 63
4n^2 + 8n -60 = 0
n^2 + 2n - 15 = 0
(n + 5)(n - 3) = 0
n = 3 (only positive)
numbers are 2(3)+1=7 and 9
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A car is traveling at a rate of 93 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round yanswers.
The width of a rectangular window is 2 feet more than its height. If the area is 35 square feet, what is the height?
Answers
Answers
15%=15/100=0.15
'of' means multiply
therefor
15% of x equals 12 means
0.15 times x=12
divide both sides by 0.15
x=80
the number is 80
B) g(x)= 2(x^4+3)
C) g(x)= 2(x+3)^4
D) g(x)= 2x^4-3
Answers
The required transformed graph of parent graph f(x^4) is
The correct option is (A)
Transformation on Graph:
If we have a original graph of the function f (x) then
Vertical transformation by a unit = a f(x)
Horizontal compression by a unit = f(ax)
Vertical translation up a units = f(x) + a
How to find transformed graph?
Here we have given original function is f(x^4)
If the graph stretched vertically by 2 unit then transformed graph is
=2
Also we have given the graph is shifted up 3 units
Therefore the graph will be =
The correct option is (A)
This is the conclusion to the answer.
Learn about transformation of the graph here-
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Answer:
Yep A is the answer
Step-by-step explanation:
B) 27 inches
C) 44 inches
D) 66 inches
Answers
If an ostrich is 108 inches tall. Then the height of the kiwi will be 22 inches. Then the correct option is A.
What is Algebra?
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The height of an ostrich is 20 inches more than 4 times the height of a kiwi.
Let y be the height of the ostrich and x be the height of a kiwi. Then the equation is given as,
y = 4x + 20
If an ostrich is 108 inches tall. Then the height of the kiwi will be
108 = 4x + 20
4x = 88
x = 22
If an ostrich is 108 inches tall. Then the height of the kiwi will be 22 inches. Then the correct option is A.
More about the Algebra link is given below.
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k=height of kiwi
h is 20 more than 4 times k
k=20+4k
k=108
108=20+4k
minus 20 from both sides
88=4k
divide both sides by 4
22=k
answer is A
Answers
If the center of the circle is at (h,k)
r² = (h - 0)² + (k - 0)²
r² = (h - 6)² + (k - 0)²
r² = (h - 6)² + (k - 4)²
Equating the equations
h² + k² = (h - 6)² + k²
h = 3
(h - 6)² + k² = (h - 6)² + (k - 4)²
k = 2
Therefore, the center of the circle is at (3,2).
Using this equation, fill in the following T-table for the years 2000, 2002, 2004, 2006, 2008, and 2010. Use X = 0, 2, 4, 6, 8, and 10 to represent these years (the number of years after 2000). Round your answers to the nearest cent.
Answers
Answer:
Step-by-step explanation:
The equation representing the price of gas for the years after 2000 is expressed as
y = 1.26(1.10)^x
Where x = 0, 2, 4, 6, 8, and 10 represent these years : 2000, 2002, 2004, 2006, 2008, and 2010, the table would be
1) x = 0(2000)
y = 1.26(1.10)^0
y = 1.3
2) x = 2(2002)
y = 1.26(1.10)^2
y = 1.5
3) x = 4(2004)
y = 1.26(1.10)^4
y = 1.8
4) x = 6(2004)
y = 1.26(1.10)^6
y = 2.2
5) x = 8(2006)
y = 1.26(1.10)^8
y = 2.7
6) x = 10(2008)
y = 1.26(1.10)^10
y = 3.3