Inductive Reasoning Write the next two numbers in the pattern 400, 200, 100, 50, 25,

Mathematics

2 answers:

Semenov [28]2 years ago

8 0

Answer:

Step-by-step explanation:

After 400 ,800,1600

Before 25,12.5,6.25

Radda [10]2 years ago

3 0

Answer:

12.5, 6.25

Step-by-step explanation:

The answer halfs every time

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Four polynomials are shown below:

max2010maxim [7]

The degree of a polynomial is the value of the highest exponent a variable is raised to (i.e., the degree of the equation $y=x^{2}$ is 2, since the highest exponent of a variable is 2.

If we apply this concept to your list of polynomials, we see that polynomial A and polynomial D both have $x^{5}$ terms, so they are both fifth-degree polynomials. However, your answer must also be a trinomial (a polynomial with three terms.) If we look at polynomials A and D, we see that only polynomial A has three terms, so that must be the answer!

Let me know if you have any questions :)

6 0

2 years ago

Read 2 more answers

Factor this expression completely, then place the factors in the proper location on the grid. a^3y + 1

ivolga24 [154]

Answer:

$a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\$

Step-by-step explanation:

We are to factorize the expression $a^{3y} + 1$ completely. To do this, we will apply the expression below;

The expression can be rewritten as $a^{3y} + 1^{3}$

To factorize the expression, we need to first factorize $(a^{y}+1 )^{3}$ first

$(a^{y}+1 )^{3} =(a^{y}+1 )(a^{y}+1 )^{2}\\= (a^{y}+1 )((a^y)^{2} } + 2a^{y} +1)\\= (a^y)^{3} +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y+1\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +3(a^y)^{2}+3a^y\\$