Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x + 2)2

204, 200,196,... find the 31st term

rewona [7]

Answer:

31st term = 84

Step-by-step explanation:

Given:

204, 200,196,...

Find:

31st term

Computation:

204, 200,196,...

First term a = 204

Difference d = a3 - a2

Difference d = 196 - 200

Difference d = -4

An = a + (n-1)d

A31 = 204 + (31-1)(-4)

A31 = 204 - 120

A31 = 84

6 0

3 years ago

Read 2 more answers

Once upon a time, there was a former whose family raised pigs and chickens. One morning, the farmer's wife looked into the barny

Fed [463]

Using a system of equations, it is found that:

There are 8 chickens in the yard.

There are 16 pigs in the yard.

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This question is solved using a system of equations. I am going to say that:

x is the number of chickens.

y is the number of pigs.

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A chicken has 1 head, as do a pig.
There are 24 heads.

Thus:

$x + y = 24 \rightarrow y = 24 - x$

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A chicken has 2 feet.
A pig has 4 feet.
In total, there are 80 feet.

Thus:

$2x + 4y = 80$

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Number of chicken:

Since $y = 24 - x$

$2x + 4y = 80$

$2x + 4(24 - x) = 80$

$2x + 96 - 4x = 80$

$2x = 16$

$x = \frac{16}{2}$

$x = 8$

There are 8 chickens in the yard.

-----------------------------------------

Number of pigs:

$y = 24 - x = 24 - 8 = 16$

There are 16 pigs in the yard.

A similar problem is given at brainly.com/question/24104709

8 0

3 years ago

Write the equation of the circle with center (-4, 8) and passes through the point (-2, -1)

anzhelika [568]

Answer:

$(x+4)^2+(y-8)^2=85$

Step-by-step explanation:

The standard equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

$(x-(-4))^2+(y-8)^2=r^2\\$

Simplify:

$(x+4)^2+(y-8)^2=r^2$

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

$(-2+4)^2+(-1-8)^2=r^2$

Evaluate:

$(2)^2+(-9)^2=r^2$

Square:

$4+81=r^2$

Add:

$r^2=85$

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

$(x+4)^2+(y-8)^2=r^2$

Substituting 85 for r squared, we get:

$(x+4)^2+(y-8)^2=85$

And we have our equation.

8 0

2 years ago

D = a - b - c solve for b

enot [183]

To isolate b, add a and subtract c to the entire equation:

D - a + c = -b

Muliply b by -1 to eliminate the negative:

-D + a - c = b

5 0

3 years ago

What is the total compound interest of a loan for $5,000 with an annual interest rate of 8 percent at the end of a two-year peri

jeka57 [31]

It's D because 5x8 = 40 and look at the extra zeros

5 0

3 years ago

Read 2 more answers

Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x + 2)2 - 3