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Veronika [31]
3 years ago
6

What is the vertex of g(x)=3x3x^2-12x12x+7 ​

Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

Answer:

(2, -5)

Step-by-step explanation:

g(x) = 3x² − 12x + 7

Complete the square.

g(x) = 3 (x² − 4x) + 7

g(x) = 3 (x² − 4x + 4) + 7 − 3(4)

g(x) = 3 (x − 2)² + 7 − 12

g(x) = 3 (x − 2)² − 5

The vertex is at (2, -5).

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The simplest form of 18/45 is 2/5
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3 years ago
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15. a music concert is organized at a memorial auditorium. the first row of the auditorium has 16 seats, the second row has 24 s
Drupady [299]

The equation for the nth term in the arithmetic sequence is   8n + 8.

The number of people that can be accommodated in the 16th row is 136.

<h3>What is an  arithmetic progression?</h3>

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Given that,

No. of seats in first row = 16

No. of seats in second row = 24

No. of seats in third row = 32

Total number of rows = 50

It forms an arithmetic progression

First term = a = 16

common difference d = 8

Number of terms, n = 50

(A) The formula for the n th term of an arithmetic progression is given by

Tn = a + (n - 1) d

    = 16 + (n-1) 8

    = 16 + 8n - 8

Tn = 8n + 8

(B) Now,

n = 16

The number of seats in 16 th row is given by

T(16) = 8 x 16 + 8

T(16) = 136 seats

Hence, (A)The equation for the nth term in the arithmetic sequence is   8n + 8. and (B) The number of people that can be accommodated in the 16th row is 136.

To learn more about arithmetic progression  from the given link:

brainly.com/question/24205483

#SPJ4

4 0
1 year ago
Greg has $400 in his savings account. Each month he spends $50 on shoes. After how many
Rashid [163]

Answer:

8

Step-by-step explanation:

400/50=8

4 0
3 years ago
What is the sum of <br> -7g and 4g + 2
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Step-by-step explanation:

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OLEGan [10]

Answer:

The area surrounding the parallelogram can be found by subtracting 63 from 128

Step-by-step explanation:

Parallelograms can be said to be shapes which has four sides including two pairs of sides that are parallel and the four shapes are square, rectangle, rhombus, and rhomboid. Although rhombus is said to look exactly like a slanted square, while rhomboid is said to looks like a slanted rectangle.

Therefore when solving the problem she should apply the area surrounding the parallelogram which can be found by subtracting 63 from 128 since

She needs to find the area of the fabric surrounding the parallelogram pattern.

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