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2 years ago

Simplify (x^2-8x+2) - (3x^2+x-1)

Mathematics

1 answer:

REY [17]2 years ago

5 0

Answer:

−2x^2 − 9x + 3

Hit Brainliest if this was helpful! :)

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In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

3 0

3 years ago

ANDREA IS A VERY GOOD STUDENT. THE PROBABILITY THAT SHE STUDIES AND PASSES HER MATHEMATICS TEST IS 17/20. IF THE PROBABILITY THA

Eva8 [605]

Let B be the event that Andrea passes her test, and let A be the event
that she studies. We are given that P(A and B) = 17/20, and that P(A) = 15/16. 

Now the probability that Andrea passes her test given that she has studied 
is represented by P(BlA). The formula your teacher gave you can be written as 
P(BlA) = P(A and B) / P(A). 

So P(BlA) = P(A and B) / P(A) = (17/20) / (15/16) = (17/20)*(16/15) = 68/75.

3 0

3 years ago

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3x-4y=16 and 5x+2y=44 using elimination strategy and comparing strategy

chubhunter [2.5K]

$3x-4y=16 \\5x+2y=44 \\ \\3x-4y=16 \\10x+4y=88 \\ \\13x=104 \\x=\boxed{104\div13=8}\\ \\3\times8-4y=16 \\24-4y=16 \\-4y=-8 \\y=\boxed{2}$

5 0

3 years ago

BRAINLIEST ASAP! PLEASE HELP ME :)

Afina-wow [57]

Answer:

$\large \boxed{\textbf{30.54 yr}}$

Step-by-step explanation:

For species A,

$P =2000e^{0.05t}$

For species B,

$P =5000e^{0.02t}$

When their populations are equal,

$\begin{array}{rcl}2000e^{0.05t} & = & 5000e^{0.02t}\\e^{0.05t} & = & 2.5e^{0.02t}\\0.05t & = & \ln2.5 + 0.02t\\0.05t & = & 0.9163 + 0.02t\\0.03t & = & 0.9163\\t& = & \dfrac{0.9163}{0.03}\\\\& = & \mathbf{30.54}\\\end{array}\\\text{The populations of species A and B will be the same in $\large \boxed{\textbf{30.54 yr}}$}$

The diagram below shows the population of Species A overtaking that of Species B in about 30.5 yr.

3 0

3 years ago

The original loan amount is referred to as the______.

marishachu [46]

The answer is principal.
Hope this helped c:

5 0

3 years ago

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