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Luden [163]
3 years ago
15

The question is in the image h e l p m e​

Mathematics
2 answers:
kompoz [17]3 years ago
6 0

Answer:

The answer is D

Step-by-step explanation:

Line them up.

xxMikexx [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Option A is correct

10g^3-8g^2+10g^2+5g+12g-14

10g^3+2g^2+17g-14

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Tamika makes a 5.5% commision selling electronics how much commission doesshe make if she sells a flat screen for 10000
sergey [27]

Answer:

$550

Step-by-step explanation:

5.5 % = 0.055

10,000 x 0.055=550

6 0
3 years ago
Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator
SpyIntel [72]
\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}
\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)

When x=3, you're left with

147=49a_1\implies a_1=\dfrac{147}{49}=3

When x=\sqrt2 or x=-\sqrt2, you're left with

\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}

Adding the two equations together gives -10=2a_5, or a_5=-5. Subtracting them gives 2\sqrt2=2\sqrt2a_4, a_4=1.

Now, you have

5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)
5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)
2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that a_2x^4=2x^4 and a_3(-3)(-2)=6a_3=-6. These alone tell you that you must have a_2=2 and a_3=-1.

So the partial fraction decomposition is

\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}
7 0
3 years ago
Mrs. Smith asked her students to make observations about the histogram, Annual Rainfall of Cities.
kakasveta [241]

Answer:

Maria and Antonio

Step-by-step explanation:

sorry if it's wrong

5 0
2 years ago
Without measuring angles what is the measure of angle A′ OB ′?
Ede4ka [16]

Answer:

That isn’t possible

Step-by-step explanation:

8 0
3 years ago
How do I do this the easiest way?
Marina CMI [18]
Add the 3 item totals, then divide that number by 100, then, take that number and multiply by 9 (this gets the tax total). then you are going to want to add the total of the 3 items, and the tax amount, and you have your answer. do this with all the peoples items :)
4 0
2 years ago
Read 2 more answers
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