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3 years ago

Expand and simplify (x+5)(x-2)

Mathematics

1 answer:

salantis [7]3 years ago

8 0

Answer:

${x}^{2} - x - 12 = (x + 3)(x - 4)$

${x}^{2} + 3x + 2 = (x + 2)(x + 1)$

${x}^{2} + 3x - 10 = (x + 5)(x - 2)$

Step-by-step explanation:

F [First terms] - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT

O [Outside terms] - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT

I [Inside terms] - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT

L [Last terms] - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT

${x}^{2} - x - 12 = {x}^{2} - 4x + 3x - 12$

${x}^{2} + 3x + 2 = {x}^{2} + x + 2x + 2$

${x}^{2} + 3x - 10 = {x}^{2} - 2x + 5x - 10$

I am joyous to assist you anytime.

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Phoenix [80]

Answer:

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Step-by-step explanation:

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2 years ago

F(x) = 4x f(x) = −x + 5 what is the solution

vagabundo [1.1K]

As function is = 4x
so
4x=-x+5
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3 years ago

In a certain state, there are currently 5,902,060 acres of farmland. This area is decreasing at a rate of 4.3% every year. Selec

Luba_88 [7]

Answer:

y=5,902,060*(.957)^t

Step-by-step explanation:

Since the original amount would be decreasing and it's an exponential one, hence the "every year", we can determine that it's an exponential decay equation.

The exponential delay equation is y=A*(1-r)^t. The y is the remaining amount, A is the original amount, r is the rate in decimal form, and t is for years. "1-r" is for decreasing rates and "1+r" is for increasing rates.

First thing we need to do is turn the rate, 4.3%, from a percentage to a decimal. You can do this by moving the decimal two places to the right, which gives you 0.043.

Now plug the numbers into the equation.

y=5,902,060*(1-0.043)^t

Simplify what's inside the parenthesis and get your final equation.

y=5,902,060*(.957)^t

3 0

3 years ago

aalyn [17]

If a(n) = (39n^4 -506n^3 + 2341n^2 - 4610n + 3416) / 8 then

a(1) = 85 
a(2) = 17 
a(3) = 19 
a(4) = 4 
a(5) = 2

8 0

3 years ago

"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo

loris [4]

The exponential distribution is:
$\lambda e^{- \lambda x}$
where $\lambda = \frac{1}{mean}=\frac{1}{5}$

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
$P(A|B) = \frac{P(A and B)}{P(B)}$
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
$P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}$

Sub into conditional probability formula:

$P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549$

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%

3 0

3 years ago