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3 years ago

The function g(n)=n²-6n+16 represents a parabola.

Mathematics

1 answer:

goblinko [34]3 years ago

4 0

Part A: (n^2-6n)+16

[(n^2-6n+9)-9]+16

(n-3)^2+7

Part B: From the above result,

Vertex (3,7) this is the minimum point of the graph since the coefficient of a is positive

Part C: The axis of symmetry is basically the x coordinate of the vertex, so the axis of symmetry is x=3

Hope this helps!

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If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.

Reil [10]

The first term is 2 and the 20th term is 1048576 .

<u>Step-by-step explanation:</u>

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ $S_n = \frac{a(r^n-1)}{r-1}$

So ,Sum of first 12 terms is :

⇒ $S_1_2 = \frac{a(2^{12}-1)}{2-1}$

⇒ $8190=a(2^{12}-1)$

⇒ $\frac{8190}{4095}=a$

⇒ $a=2$

Now , nth term of a GP is

⇒ $a_n = ar^{n-1}$

So , 20th term is :

⇒ $a_2_0 = 2(2)^{20-1}$

⇒ $a_2_0 = (2)^{20}$

⇒ $a_2_0 = 1048576$

Therefore , the first term is 2 and the 20th term is 1048576 .

8 0

4 years ago

A shoebox holds a number of disks of the same size. There are 5 red, 6 white, and 7 blue disks. You pick out a disk, record its

Tpy6a [65]

Answer:

Step-by-step explanation:

easy

3 0

3 years ago

What is <br> A two-column proof

lys-0071 [83]

Answer:

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.

8 0

2 years ago

Match each equation with its graph. Use the graph of<br> y= x, shown in red, to help.

My name is Ann [436]

Answer:

igggg

Step-by-step explanation:

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3 0

3 years ago

Read 2 more answers

Out of 300 animals in the zoo 45 are birds what percent are not birds

Leya [2.2K]

Answer:

85%

Step-by-step explanation:

There are two ways to solve this.

1. You can find the percent of birds, and then subtract that from 100%.

To find the percent of birds, divide 45/300 or make the denominator 100 by dividing both parts by 3.

45/300 (as a fraction)

=15/100

That is the same as 15%.

Subtract that from 100% and you get 85%.

2. You find the number of non-bird animals and make that a percent.

300-45=255 non-bird animals

255/300 (as a fraction)

=85/100

That is the same as 85%.

So either way, the answer is 85%.

8 0

3 years ago