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Firdavs [7]
3 years ago
7

An arithmetic sequence is given below.

Mathematics
1 answer:
klasskru [66]3 years ago
3 0

Answer:

a_n=8+4n

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula:

a_n=a+(n-1)d

Where

a is the first term

d is the common difference

a is given as 12

To find d, we subtract any term from the term after it. So

d = 16 - 12 = 4

Now, the explicit formula for nth term is:

a_n=a+(n-1)d\\a_n=12+(n-1)4\\a_n=12+4n-4\\a_n=8+4n

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Identifying an Error
Burka [1]

The incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3

<h3>What is a logarithm? </h3>

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

\rm a^b = c\\log_ac =b

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

2ln(x) = In(3x) - [In(9) - 2ln(3)]

In(x²) = In(3x) - [In(9) - In(9)]

ln(x²) = ln(3x) - 0

ln(x²) = ln(3x/0)   (incorrect step)

ln(x²) = ln(3x)

x² = 3x  (correct step)

x² - 3x =0

x(x - 3) = 0

x = 0, 3

Thus, the incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3

Learn more about the Logarithm here:

brainly.com/question/163125

#SPJ1

3 0
2 years ago
Translate the sentence into an equation.
coldgirl [10]

Hey there!

We want to multiply a certain quantity by 2, so we will put the two outside of parentheses and put our variable (x) minus two inside the parentheses to represent this. This will all equal two.

2(x-6)=2

The unknown number is also 7.

I hope that this helps!

7 0
4 years ago
Please help me solve this in class rn
oksian1 [2.3K]
The grinch mountain was the answer
4 0
2 years ago
The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is
Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

f(x)=-0.05x^2+2.5x+5.2

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

-\infty

Factorize the given function.

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-52x+2x-104)

f(x)=-0.05(x(x-52)+2(x-52))

f(x) = -0.05 (x - 52) (x + 2)

Put f(x)=0 to find the x intercepts.

0 = -0.05 (x - 52) (x + 2)

Equate each factor equal to 0.

x=52,-2

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

0\leq x\leq 52

Therefore the reasonable domain is 0\leq x\leq 52 and option 4 is correct.

6 0
3 years ago
Can someone help me pleaseeee
Sidana [21]
Answer: B) False

The input x = 5 leads to the two outputs f(x) = 2 and f(x) = 1 (as shown by the green arrows in the attached image). In order to have a function, all of the inputs must lead to exactly one output. 

3 0
4 years ago
Read 2 more answers
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