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2 years ago

Simplify the expression x^2+x-2/8x^2+4x/3x^2+10x+8

Mathematics

1 answer:

irina [24]2 years ago

6 0

Answer:

Step-by-step explanation:

x² + x - 2 = x² - x +2x -2 = x(x - 1) + 2*(x-1) = (x-1)(x+2)

8x² + 4x = 4x ( 2x + 1)

3x² + 10x + 8 = 3x² + 6x + 4x + 4*2 =3x * (x + 2) + 4 * ( x + 2) = (x + 2)(3x + 4)

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During summer weekdays, boats arrive at the inlet drawbridge according to Poisson distribution at a rate of 3 per hour. In a 2-h

mrs_skeptik [129]

Answer:

The probability that no boats arrive is $2.48\times 10^{-3}$ .

Step-by-step explanation:

Poisson distribution:

Poisson distribution is a statistical distribution that helps to find out the probability of a certain is likely occur a specified period of time.

$P(X=x)=\frac{e^{-\lambda t}(\lambda t)^x}{x!}$

$\lambda$ = rate.

Given that, Poisson distribution at a rate of 3 per hour.

$\lambda$ = 3

t=2

x=0

The probability that no boats arrive is

$P(X=0)=\frac{e^{-2\times 3}(2\times 3)^0}{0!}$

$=2.48\times 10^{-3}$

6 0

3 years ago

Lemon goes to the store and buys a game station for $25. The store is running a discount of 15%. What is the price of the game s

TEA [102]

Answer:

$21.25

Step-by-step explanation:

1. Convert the 15% to a decimal by dividing by 100. 15 ÷ 100 = 0.15

2. Multiply the $25 by the decimal of 15%. 25 × 0.15 = 3.75

3. Subtract your previous answer (3.75) from the original price of the game station. 25 - 3.75 = 21.75

4. Therefore the price of the game station after the discount is $21.75.

7 0

2 years ago

Grant thinks he has reached the point where he has maximized his profit. However, because this can be tricky to determine, he is

Mashcka [7]

Answer:c

Step-by-step explanation:

Profit maximization happens with marginal revenue is equal to marginal cost, so if Grant's assumption was right before selling the extra unit, when he actually sells the extra unit, this will increase his revenue

That's why the answer is c

Marginal revenue will exceed marginal cost

6 0

3 years ago

Magan decides to research the relationship between the length in inches and the

GrogVix [38]

Based on the line of best fit, the length of this catfish can be predicted to be 38 inches.

<u>Given the following data:</u>

Weight of catfish, x = 40 pounds.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

From the graph of the data, we have the following linear equation:

$y=\frac{1}{2} x+18$