(-36x^4y+144x²y^6) / (-4x²y) =
36xy*(x³+4xy^5) / (-4x²y) =
-9*(x³+4xy^5) / x
Repeating decimal representation will be 3/13, 7/24. Terminating decimal representation will be 3/16, 4/125.
<h3>What is decimal?</h3>
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The base-10 number system, arguably the most widely used number system, is referred to as decimal. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number following nine is 10.
Here,
Repeating decimal representation,
=3/13, 7/24
Terminating decimal representation,
=3/16, 4/125
3/13 and 7/24 will be repeated in decimal form. The final two decimal places are 3/16 and 4/125.
To know more about decimal,
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Answer:
Step-by-step explanation:
f(x)=-4x+2
g(x)=x²+1
(gof)(x)=g(f(x))=g(-4x+2)=(-4x+2)²+2=16x²-16x+4+2=16x²-16x+6
(gof)(3)=16(3)²-16(3)+6=144-48+6=150-48=102
Answer:
f(1) = 42
Step-by-step explanation:
Step 1: Switch all x out to 1 for f(1) which would look like this: f(1)=4(1)^2+3(1)+13
Step 2: You would then simplify it starting with 4(1)^2 which would equal 4 squared which equals 16.
Step 3: After simplifying you would have f(1)=16+3+13
Step 4: You then just add and get 42
Hope this helped :D
Answer:
x = 3
Step-by-step explanation:
Using the rules of logarithms
ln x = ln y ⇒ x = y
ln e = 1
Given
2 ln e ln 5x = 2 ln 15 ( divide both sides by 2 )
ln e ln 5x = ln 15
ln 5x = ln 15, hence
5x = 15 ( divide both sides by 5 )
x = 3
