what the minimum value of the function g(x) = x^2 - 6x - 12?​

This question will be solved by use of arithmetic progression (AP) Sequence.

The formula for the nth term of an arithmetic progression sequence is;

aₙ = a + (n - 1)d

where;

a is the first term

n is the position of the term in the sequence

d is the constant difference between 2 consecutive terms

The formula for this sequence is;

aₙ = -3 + (n - 1)4

Our given sequence is;

[-3,1,5, 9, 13, ...]

The first term is -3

The second term is 1

Thus using the nth term formula of an AP earlier quoted, and applying it to the second term, we have;

1 = -3 + (2 - 1)d

1 = -3 + d

d = 1 + 3

d = 4

Thus the formula for this sequence is;

aₙ = -3 + (n - 1)4

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Answer:

9.6

Step-by-step explanation:

Answer:

B. Because the greatest point is 4

Answer:

28413.4 in (radius} = diameter divided by 2 = 47.7 divided by 2 =23.85

radius=  2

diameter

​ =  2

47.7

=23.85

Answer: w = 136

Step-by-step explanation:

Use the triangle angle sum theorem which states the interior angles of a triangle sum to 180.

14+30+w= 180. Combine like terms.

44+w= 180. Subtract 44 from both sides.

w= 136

Answer:

136°

Step-by-step explanation:

Triangles always equal 180°, so add up the given numbers (in this case, 14 and 30 to get 44) then subtract from 180 to get your answer. Hope this helps!!!

Answer:

6/7x+5/2y

Step-by-step explanation:

I actually don't know

Answer:

1. 0

4. 6

Step-by-step explanation:

1. 2 x -1 + 1 ×2 = -2 + 2 = 0

2. 2x - 4 x 3 = 0

or 2x - 12 = 0

or 2x = 12

or x = 6

Answer:

angle 3

Step-by-step explanation:

angle 3+ angle 2=90°( complementary angles)

Answer:

81 units ^ 2 (this means 81 units squared, just pick the answer: 81)

Step-by-step explanation:

(6x6) + (3x15)

36 + 45 = 81

Answer:

Because there are 4 ways to pick red then 4 (C)

Answer:

it looks like it would be C

Step-by-step explanation:

Answer:

birr 40,000

Step-by-step explanation:

Given that :

Shares owns by a man in a business =  [tex]$\frac{3}{4}$[/tex]

Fraction of the shares sold by the man = [tex]$\frac{1}{3}$[/tex]

Amount for which the shares were sold = 10,000 birr

Let the value of the business of the ma be = x

Therefore, according to the question,

[tex]$\frac{1}{3} \text{ of } \left(\frac{3}{4}x\right) = 10000$[/tex]

[tex]$\Rightarrow \frac{1}{4}x = 10000$[/tex]

[tex]$\Rightarrow x = 4\times10000$[/tex]

       = 40,000

Therefore, the value of the share is birr 40,000

Answer:

s = 1

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

39s + 129 + 79 + 145 + 148 = 540 , that is

39s + 501 = 540 ( subtract 501 from both sides )

39s = 39 ( divide both sides by 39 )

s = 1

Answer:

she can have a total of 4 books

bc 1lb + 2lb =3 lb

4 lbs per book would be 19 - 3 lb = 16 lb

16 ÷ 4 =4

so the answer is 4 books

Answer: the answer is B. Cookies and cream/ mint chocolate chip

Step-by-step explanation:

The ice cream shop should choose option (D) Mint chocolate chip when it sells its products at the local grocery shop.

The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems. Each sector denotes a proportionate part of the whole.

Given a Pie chart reflecting the favorite choices of the consumers, when asked during a survey covering around 25 people.

Now, in order to produce the highest profit and the highest consumer numbers when selling its products, the ice cream shop should have to consider the results of the survey while setting up its business. The product which was the favorite of the majority of the people in the survey, will tend to take the first spot while deciding what to sell.

As the pie chart clearly shows that the Mint Chocolate Chip is the favorite of the majority of the people participating in the survey, the ice cream shop should sell its mint chocolate chip in the local grocery shops.

Hence, the ice cream shop should choose option (D) Mint chocolate chip when it sells its products at the local grocery shop.

Learn more about pie chart, click;

https://brainly.com/question/9979761

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Answer:

6.4

Step-by-step explanation:

Given the data:

15, 25, 10, 2, 8

Sample size, n = 5

The mean, m of the data above is :

(15 + 25 + 10 + 2 + 8) / 5

= 12

The mean absolute deviation:

|x - m| / n

|15 - 12| + |25 - 12| + |10 - 12| + |2 - 12| + |8 - 12|

(3 + 13 + 2 + 10 + 4) / 5

= 32 / 5

= 6.4

Answer:

D. y - 3 = - 12 ( x - 5)

Step-by-step explanation:

Given

Slope (m) = - 12

Point = ( 5 , 3 ) = ( x1 , y1)

Now

Writing in point-slope equation we get

y - y1 = m( x - x1)

y - 3 = - 12 ( x - 5 )

Hope it will help :)❤

Step-by-step explanation:

Horizontally.

Cuz if you see the equation or put equation in desmos graph it can open horizontally

Answer:

=−6

Step-by-step explanation:

hope this helps

Step-by-step explanation:

The angles which are vertical to each other are

<9 and <11

< 1 and < 3

< 6 and <8

< 2 and < 4

Answer:

All of them forms a vertically opposite angle

Answer:

30

Step-by-step explanation:

If you plug in 5 for x and 3 for y then the equation would be 3(5)+5(3) or 15+15.

Answer:

12x + 3 + 7x - 13 = 180

Step-by-step explanation:

Q and R are Same Side Interior Angles

If you add any two same side interior angles for a trapezoid, they will equal 180 degrees.

Therefore, 12x + 3 + 7x - 13 = 180 degrees

Answer:

12x + 3 + 7x - 13 = 180

Step-by-step explanation:

The top and bottom sides of the trapezoid are parallel, but the sides are not. This means that the two angles that we are trying to find cannot be equal. In this case, this can only mean that both sides can be combined to complete a 180 degree angle. This can also be determined since they are supplementary angles, or angles that are adjacent to the opposite side of another base.

Answer:

=16 beca

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

midpoint = (50 + 52)/2

= 102/2

= 51

Answer:

273/1000

Step-by-step explanation:

Answer:15

Step-by-step explanation: using the formula c=a^2+b^2 square rooted, you can basically use the reverse Pythagorean theorem