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2 years ago

Use polynomial identities to multiply (5 - 4x3)(5 + 4x3). What identity did you use?

1 answer:

4 0

$\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] ~\dotfill\\\\ (5-4x^3)(5+4x^3)\implies [(5)^2-(4x^3)^2]\implies [(5^2)-(4^2x^{3\cdot 2})] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 25-16x^6~\hfill$

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Anettt [7]

4000 (4x10^3) times 400 (4x10^2) is equal to 16x10^5 ( 1,600,000)

5 0

3 years ago

Part 1

andreev551 [17]

Answer:

see explanation

Step-by-step explanation:

Part 1

The n th term of a geometric sequence is

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Given $a_{6}$ = 128, then

a $(2)^{5}$ = 128, that is

32a = 128 ( divide both sides by 32 )

a = 4 ← first term

Part 2

$a_{21}$ = 4 $(2)^{20}$ = 4 × 1048576 = 4194304

6 0

3 years ago

How do i conjugate the binomial<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B6%20%2B%204%7D%20" id="TexFormula1" title=" \s

leonid [27]

We solve 6 + 4

6 + 4 = 10.

Square root of 10:

$\boldsymbol { \sqrt{6 + 4} = \sqrt{10} }\\
\\
\\
\boldsymbol { \sqrt{10}l\underline{ \ 3.16227766017}}\\
\boldsymbol { \underline{- 10}l \ 3.16227766017 \times 3.16227766017 }\\
\boldsymbol { \ \ \ 00}$

<span>The square root of 10 is a periodic decimal (decimal that has infinite decimals, worth the redundancy)

What is that periodic decimal?
</span>
$\boxed{\textbf{3.16227766017} \boldsymbol{ \ \Leftarrow }\textbf{Square root of 10}}$

<u>REGARDS!</u>

3 0

3 years ago

Pls answer 2 people or more

fredd [130]

I believe it’s B . Not 100 percent sure but yeah

6 0

2 years ago

Which equation represents the line that passes through (0, 2) and (3, 1)?

Anna11 [10]

<h3>Answer:</h3>

A. y = -1/3x + 2 . . . . . . . . assuming a typo in your problem statement

<h3>Explanation:</h3>

The point (0, 2) is the y-intercept. This tells you the equation will be something of the form ...

... y = mx + 2 . . . . . . matching only answer choices A and C

_____

Knowing this, you can either substitute the values x=3, y=1 into these two equations to see which one works (it is not C), or you can look at the two points and determine the value of the slope.

The slope is ...

... (difference in y)/(difference in x) = (1-2)/(3-0) = -1/3 . . . . . matches choice A

The equation of the line is ...

... y = -1/3x + 2 . . . . . matches answer choice A

6 0

3 years ago