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3 years ago

Describe the error in finding the product

Mathematics

1 answer:

spayn [35]3 years ago

3 0

The error is D. The middle term 2(k)(4) is missing.

Explanation:

We have the mathematical formula - (A + B)² = A² + B² + 2× A× B.

To solve for (k + 4)², we take k as the A term and 4 as the B term. So we must calculate the values of A², B² and 2× A× B.
If A = k, A² = k², B = 4, B² = 4² = 16, 2× A× B = 2× k× 4 = 8 × k = 8k.
So (k + 4)² = k² + 16 + 8k. In the image it is given that (k + 4)² = k² + 16 but in this the middle term 2AB = 2(k)(4) = 8k is missing.

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Which statement describes the sequence defined by

Llana [10]

Answer:

a) The given sequence is diverges

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Step-by-step explanation:

Explanation

Given that the $n^{th}$ term sequence

$a_{n} = \frac{n^{3} - n}{n^{2} + 5 n}$

we have to prove that a given sequence converges or diverges

$\lim_{n \to \infty}a_{n} = \lim_{n \to \infty} \frac{n^{3} - n}{n^{2} + 5 n}$

$= \lim_{n \to \infty} \frac{n^{3}(1- \frac{1}{n^{3} }) }{n^{2}(1+ \frac{5n}{n^{2} } )}$

$= \lim_{n \to \infty} \frac{n(1- \frac{1}{n^{3} }) }{(1+ \frac{5n}{n^{2} } )}$

= ∞

$\lim_{n \to \infty} a_n$ = ∞

The given sequence is diverges

7 0

4 years ago

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What is 50% of 80 Part ___ =___ Percent whole ___ =100 Percent

tankabanditka [31]

Answer:

50% of 80 is 40

Step-by-step explanation:

50% is half of something so half of 80 is 40

3 0

3 years ago

Can someone please help me with math.

Oxana [17]

Answer:

Step-by-step explanation:

Hello There!

First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)

Because the fee is 3 dollars we can immediately eliminate answers B and C

Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)

Once again we want to choose two points on the line and plug it in into the slope formula

the points are optional but i have chosen the points (1,4.5) and (2,6)

*plug it into the slope formula*

$slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5$

so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A

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3 years ago

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pishuonlain [190]

Answer:

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4 years ago

The table represents a function.

hram777 [196]

Answer:

The value of f(5) is:

-8

Step-by-step explanation:

Lets make table which represents the function.

Th table has 2 columns, first column contains values for x, second column contains values of y

The table has 4 rows, which means that there are 4 values of x, which corresponds to 4 values of y.

The table is given as:

x f(x)

-4 -2

-1 5

3 4

5 -8

We need to find the value of f(5).

We can get the value of f(5) if we substitute x = 5 into f(x)

We can see in the table, that if we substitute x=5 in f(x), we get the value of f(5) = -8

Which is the answer

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4 years ago

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