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3 years ago

Write 894,217 in expended form an using number names

Mathematics

1 answer:

storchak [24]3 years ago

5 0

Eight hundred ninety four thousand, two hundred and seventeen. I hope this helps.

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The equation of line h is y = -2x + 1. If line h is dilated with a scale factor of 4 with respect to the origin, what is the equ

amm1812

Answer:

y = -2x + 4

Step-by-step explanation:

Given line h:

y = -2x + 1

Dilated line is parallel to original, so will have same slope of -2

y-intercept will change by a scale factor of 4:

(0, 1) → (0*4, 1*4) = (0, 4)

So the equation of the new line is:

y = -2x + 4

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3 years ago

Type the integer that makes the following addition sentence true: + 4 = 4

Marina86 [1]

What number plus 4 equals 4? There's one particular number (and only one number) that has the property of giving you back the same number you add it to.

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3 years ago

-10÷0.22 what is the answer

Juliette [100K]

Answer:

-45.4545454545 *45 repeating*

Step-by-step explanation:

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3 years ago

Read 2 more answers

Jay factored the 4 term polynomial x^3-9x\:+\:2x^2-18 x 3 − 9 x + 2 x 2 − 18 and decided that the complete factorization was (x+

oksian1 [2.3K]

Answer:

Correct factorization: (x+2)(x+3)(x-3)

Step-by-step explanation:

The given 4 term polynomial is:

$x^{3}-9x+2x^{2}-18$

Part a) Jay's Mistake:

Factorization of Jay was:

$(x+2)(x^{2}-9)$

Though this expression will simplify to original given expression but this is not the complete and final factorization. The second factor which is x² - 9 can be factored further, which is shown in the next part.

Part b) Complete Factorization

In order to factor a 4 term expression of the type given in the question, the first step is to take the common from similar terms. You might need to re-arrange the terms before taking common in some case. Taking commons from the given expression, we get:

$x^{3}-9x+2x^{2}-18\\\\ = x(x^{2}-9)+2(x^{2}-9)\\\\ =(x+2)(x^{2}-9)$

Jay stopped at this step. At this step you need to look if any part of the expression can be factored further. Luckily, in this case x² - 9 can be factored further as its a difference of perfect squares:

x² - 9 = x² - (3)² = (x + 3)(x - 3)

Using these factors of x² - 9 in previous expression, we get:

$(x+2)(x^{2}-9)\\\\ = (x+2)(x+3)(x-3)$

This is the final factored form of the given 4 term expression as it can not be factored further in any way.

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4 years ago