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Irina-Kira [14]
3 years ago
5

On

Mathematics
2 answers:
Ymorist [56]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Given

(x - 3)(x + 3)(2x - 1)

Expand (x - 3)(x + 3) = x² - 9 ← difference of squares factors, thus

= (x² - 9)(2x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

= x²(2x - 1) - 9(2x - 1) ← distribute both parenthesis

= 2x³ - x² - 18x + 9  → C

quester [9]3 years ago
3 0

Answer:

\large\boxed{C.\ 2x^3-x^2-18x+9}

Step-by-step explanation:

\text{Use}\ a^2-b^2=(a-b)(a+b)\qquad(*)\\\\\underbrace{(x-3)(x+3)}_{(*)}(2x-1)=(x^2-3^2)(2x-1)=(x^2-9)(2x-1)\\\\\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(x^2)(2x)+(x^2)(-1)+(-9)(2x)+(-9)(-1)\\\\=2x^3-x^2-18x+9

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Answer:

A company declares a​ 5% stock dividend.

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We can say that a retained earnings balance is increased when we are using a credit and this is decreased when we make a debit.

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8 0
3 years ago
2(9x - 1) = 99-7(3 - 4x)<br> help please
Bogdan [553]

Answer:

x = -8

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6 0
3 years ago
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A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,00
Marianna [84]

Answer: a.) $50188 to $57812

Step-by-step explanation: <u>Confidence</u> <u>Interval</u> (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± z\frac{s}{\sqrt{n} }

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± 1.96.\frac{6000}{\sqrt{12} }

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54,000 ± 1.96*1732.102

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This means the interval is

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<u>With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or </u><u>from 50188 to 57812$.</u>

<u />

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

4 0
2 years ago
Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume
zimovet [89]

Answer:

Step-by-step explanation:

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radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

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3 0
3 years ago
Please help you will get 10 points and brainliest. and explain your answer.
alekssr [168]

Answer:

Top prism = 262 in.² Bottom prism = 478 in.²

Step-by-step explanation:

top prism:

front + back: 5 x 3 = 15

sides: 19 x 4 x 2 = 152

bottom: 19 x 5 = 95

15 + 152 + 95 = 262

bottom prism:

front + back: 5 x 6 x 2 = 60

sides: 19 x 6 x 2 = 228

top + bottom: 19 x 5 x 2 = 190

60 + 228 + 190 = 478

6 0
3 years ago
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