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Zielflug [23.3K]
2 years ago
6

Perform the indicated operation (3x^3-2x^2+4x-3)(x+2)

Mathematics
1 answer:
Rus_ich [418]2 years ago
7 0

Answer:

3x^{4} + 4x³ + 5x - 6

Step-by-step explanation:

Given in the question is an expression

(3x³ - 2x² + 4x - 3)(x + 2)

Apply distributive law

(3x³ - 2x² + 4x - 3)(x) + (2)(3x³ - 2x² + 4x - 3)

3x^{4} - 2x³ + 4x² -3x + 6x³ - 4x² + 8x - 6

Rearrange the like terms

3x^{4} + x³(-2+6) +x²(4-4) +x(-3+8) - 6

3x^{4} + 4x³ + 5x - 6

After performing indicated operation the result is

3x^{4}+4x^{3}+5x-6

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What three different equations that have x = 5 as a solution
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5x=25 could be one.
25/x-3=2 is another.
And the last one could be x/85+7=24
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2 years ago
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Two weeks ago, Alice came home from vacation and noticed that a bean plant was growing in her garden. Today, the stalk is $452$
dimulka [17.4K]
So, on day 1, the plant was say "P" cm tall.

then 2 weeks go by, or 14 days, and the plant grew to 452 cm.

\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=P(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\to 452\\
P=\textit{initial amount}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
t=\textit{elapsed time}\to &14\\
\end{cases}
\\\\\\
452=P(1+0.05)^{14}\implies \cfrac{452}{1.05^{14}}=P
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2 years ago
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choose the correct word to complete the sentence below. A group of related facts that use the same number is called?
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A fact family . . . . . . . . . 
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Without using a calculator, choose the statement that best describes the value of the square root of 46
allochka39001 [22]

Answer:

The value of √46 is between 6.5 and 7.

Step-by-step explanation:

We can use perfect squares to solve this problem.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.

So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.

√36 = 6

√46 = ?

√49 = 7

Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.

4 0
2 years ago
A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif
VashaNatasha [74]

Answer:

(A)

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx  = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

Then the cumulative function would be

CF(x) = 1.25x - 0.25x^5       if   0<x<1

0 otherwise.

Step-by-step explanation:

(A)

We are looking for the probability that the random variable X is greater than 0.8.

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx  = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

For any  x you are looking for the probability P(X \geq x)  which is

P(X \geq x)  = \int\limits_{-\infty}^{x}  1.25(1-t^4) dt = \int\limits_{0}^{x}  1.25(1-t^4) dt = 1.25x - 0.25x^2

Then the cumulative function would be

CF(x) = 1.25x - 0.25x^5       if   0<x<1

0 otherwise.

5 0
2 years ago
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