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Marta_Voda [28]
3 years ago
9

Which expression is the sun of cubes?

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

Step-by-step explanation: We have been given 4 expressions. We are asked to choose the expression that represents sum of cubes.

We know that sum of cubes is in form .

We can see that 1st and 2nd option has a negative sign. Therefore, these options cannot be sum of cubes.

Let us check 3rd and 4th options one by one.

We can rewrite our expression by writing terms as cubes:

Therefore, expression  is a sum of cubes.

In 4th expression, we can see that . We cannot represent it as a cube. Similarly, we cannot represent  as a cube. Therefore, 4th expression is not correct.

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Given the equation y = 3x − 4, what is the value of y when x = 4?
Marat540 [252]

Answer:

C) 8

Step-by-step explanation:

y=3*4-4

y=12-4

y=8

5 0
3 years ago
You invest $5000 in an account at 5.5% per year simple interest. How much will you have in the account at the beginning of the 6
NeX [460]

Answer:

The amount in the account in the  beginning of the 6th year is $6375 .

Step-by-step explanation:

Formula

Simple\ interest = \frac{Principle\times Rate\ times Time}{100}

As given

You invest $5000 in an account at 5.5% per year simple interest.

Principle = $ 5000

Rate = 5.5 %

Time = 5 years

(As calculate amount in the account for beginning of 6th year.)

Putting all the values in the formula

Simple\ interest = \frac{5000\times 5.5\times 5}{100}

Simple\ interest = 50\times 5.5\times 5

Simple interest = $ 1375

Amount =  Principle + Simple interest

Putting values in the above formula

Amount =  $5000 + $1375

Amount = $ 6375

Therefore the amount in the account in the  beginning of the 6th year is $ 6375 .

8 0
3 years ago
2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …
Musya8 [376]

Answer:

The common difference d is d = -3

The recursive formula is: \mathbf{a_n=a_{n-1}-3}

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: a_n=a_1+(n-1)d

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: a_n=a_{n-1}+d

We have found common difference d = -3

So, the recursive formula will be:

a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3

The recursive formula is: \mathbf{a_n=a_{n-1}-3}

6 0
3 years ago
Plot the intercepts to graph the equation
natulia [17]
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8 0
3 years ago
What is the slope of the line that passes through the points (-4,-4) and (9,4)
aleksandrvk [35]

Answer:

4-(-4)/9-(-4)

slope=8/13

6 0
3 years ago
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