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2 years ago

Write an explicit formula for an the nth term of the sequence 75,15,3,...

Mathematics

2 answers:

lbvjy [14]2 years ago

7 0

Answer:

75(1/5)^n-1

Step-by-step explanation:

I just did it.

Usimov [2.4K]2 years ago

3 0

Step-by-step explanation:

it is geometric

so we will use this equation:

a(n)=a1*(r)^(n-1)

and we have a(1)=75 , r=15/75=3/15=1/3

explicit formula: a(n)=75*(1/3)^(n-1)

hope this helps

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Identify all factors of the expression 12x^2-14x-6

Evgen [1.6K]

Let's solve this by using the quadratic formula:

$\frac{-b+-\sqrt{b^2-4ac} }{2a}$

Note that we only use the coefficients so a=12, b=-14, and c=-6.

Plug values in the quadratic equation:

$\frac{ - ( - 14)± \sqrt{ {( - 14)}^{2} - 4(12)( - 6) } }{2(12)}$

And so by evaluating those values we obtain:

$\frac{14+-\sqrt{484} }{24}=\frac{14+-22}{24} \\\\$

Now we have two answers which are our factors one where we add another where we subtract and so:

First factor:

$\frac{14+22}{24}=\frac{36}{24}=\frac{3}{2}$

Second Factor:

$\frac{14-22}{24}=\frac{-8}{24}=-\frac{1}{3}$

And so your factors are

$\frac{3}{2},-\frac{1}{3}$

meaning that those are your roots/x-intercepts.

6 0

3 years ago

What are the names of three planes that contain Point G

belka [17]

Answer:

Points L, J, and K are collinear.

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

PLZ HELP

Scrat [10]

Answer: Ix - 950°C I ≤ 250°.

Step-by-step explanation:

Ok, the limits are:

700°C to 1200°C.

The first step is to find the mean these numbers:

M = (700°C + 1200°C)/2 = 950°C

Now let's find the distance between the mean and the limits (which is equal to half the difference between our numbers)

D = (1200°C - 700°C)/2 = 250°C.

Now we can write our relation as:

Ix - MI ≤ D

Ix - 950°C I ≤ 250°.

if x = 1200°C.

I1200°C - 950°CI = 250°C ≤ 250°C ---- true.

if x = 700°C

I700°C - 950°CI = I-250°CI = 250°C ≤ 250°C ---- true

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2 years ago

I need help pls dont troll I need this thxxx wan to be friends

oksian1 [2.3K]

I hope this helps! I also explained each step

7 0

2 years ago

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years. Approxi

Bingel [31]

{Answer:

3893 residents.

Step-by-step explanation:

Equation for population growth:

The equation for the size of a population, considering that it doubles every n years, is given by:

$A(t) = A(0)(3)^{(\frac{t}{n})}$

In which A(0) is the initial population.

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.

This means that $A(0) = 2463, n = 12$ . So

$A(t) = A(0)(3)^{(\frac{t}{n})}$

$A(t) = 2463(3)^{(\frac{t}{12})}$

Approximate the population of the town 5 years from now.

This is A(5). So

$A(t) = 2463(3)^{(\frac{t}{12})}$

$A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8$

Rounding to the nearest whole number, 3893 residents.

4 0

2 years ago