10 POINTS....................................

I need to simplify this expression : 6• (10•k)

Temka [501]

Answer:

6 x 10= 60

60/2=30

Answer is<u> 30</u> i think

Step-by-step explanation:

7 0

3 years ago

Write an explicit and a recursive formula for each sequence. -32,-20,-8,4,16, . . . . . .

wlad13 [49]

an=a1+d(n−1) is the explicit and a recursive formula for each sequence .

<h3>What is sequence?</h3>

See the pattern

-32-(-20) = -12

-20-(-8) = -12

-8-4 = -12

By this the explicit and a recursive formula for each sequence is an=a1+d(n−1).

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

To learn more about arithmetic sequence from the given link:

brainly.com/question/15412619

#SPJ4

4 0

1 year ago

100 points brainliest!!! plz answer all to the best of your ability no links they don't work for me

sveticcg [70]

Answer:

Part I: The degree of a polynomial is the greatest of the degrees of its terms.

Part II: In order to write a polynomial in descending order, you must write the terms with the exponents decreasing from left to right.

Part III: A. -4x² + 11x - 12, degree = 2,

B. 5x³ + 4x + 14, degree = 3.

Step-by-step explanation:

Part I : Since the degree of a polynomial is the highest power of its monomials ( single term ),

e: degree of is 5.

Thus, in part I, the correct option is 'greatest'

Part II: When we write a polynomial then we write the terms of the polynomial in descending order of their degrees.

Thus, in part II the correct option is 'least'

Part III: A.

∵ -4x² has the highest power in the polynomial.

⇒ Degree = 2,

Also, in the polynomial descending order of degrees,

2 > 1 > 0

⇒ polynomial in descending order,

B.

Combining like terms,

∵ 5x³ has the highest degree,

⇒ Degree = 3,

Also, the order of the degrees in the polynomial is,

3 < 2 < 1 < 0

Thus, the polynomial in descending order,

5 0

3 years ago

Divide: Three-fourths divided by two-fifths

shutvik [7]

Answer: 1 and 1/2

Step-by-step explanation:

3 0

3 years ago

Charlene makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 a week, but can work no more t

Stolb23 [73]

System of inequalities:

$(1) \ 10x+5y\geq 80 \\ \\ (2) \ x+y\leq 12$

Graph is shown below.

<h2>Explanation:</h2>

Let:

x: Number of hour Charlene makes babysitting

y: number of hour Charlene makes gardening

We can represents each statement using inequalities as follows:

<h3>First statement:</h3>

<em>Charlene makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 a week,</em>

The amount of money she makes babysitting is:

$10x$

The amount of money she makes gardening is:

$5y$

She wants to make at least $80 a week

<em>At least </em>in this context means that the minimum amount of money she can makes is $80. In other words, if a is at least b we write:

$a\geq b$

Then, in this context:

$10x+5y\geq 80$

<h3>Second statement:</h3>

<em>She can work no more than 12 hours a week. </em>

<em>No more </em>in this context means that the maximum numbers of hours she can work in a week is 12. In other words, if a no more than b we write:

$a\leq b$

So:

$x+y\leq b$

So, our system of inequalities would be:

$(1) \ 10x+5y\geq 80 \\ \\ (2) \ x+y\leq 12$

By using graphing tool, we get the graph below. The solution is that where both the region of the first and second inequality overlap. Keep in mind that the symbols ≥ ≤ tells us that $80 and 12 hours respectively are included in our solution..

<h2>Learn more:</h2>

Inequalities: brainly.com/question/12890742

#LearnWithBrainly

8 0

3 years ago