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Leto [7]
4 years ago
6

What is the minimum value of the function g(x) = x2 - 6x – 12? -21 3-21 3 3+21

Mathematics
1 answer:
balandron [24]4 years ago
4 0

Answer:

- 21

Step-by-step explanation:

The minimum value occurs at the vertex of the function

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Given

f(x) = x² - 6x - 12

add/ subtract ( half the coefficient of the x- term)² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 - 12

     = (x - 3)² - 21

with vertex = (3, - 21 )

The minimum is the value of k, that is minimum value = - 21

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A living room measures 24 feet by 15 feet. An adjacent square dining room measures 13 feet on each side. If carpet costs $6.98 p
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Answer:

total cost of putting carpet in both rooms is $3692.42

Step-by-step explanation:

given data

living room length = 24 feet

living room width = 15 feet

dining room is square so length and width will be same

dining room length = 13 feet

dining room width = 13 feet

carpet costs =  $6.98 per square foot

to find out

what is the total cost of putting carpet in both rooms

solution

first we find the total area of both room that is

area of living room = length × width      .................1

area of living room = 24 × 15

area of living room = 360 feet²      ...........................2

and

areas of dining room = length × width

area of dining room = 13 × 13

area of dining room = 169 feet²    ...............................3

so total area = add equation 1 and 2

total area = 360 feet² + 169 feet²  

total area = 529 feet²  

and

total cost of putting carpet in both rooms are = total area × carpet costs    .................4

put here value

total cost of putting carpet in both rooms  = 529  ×  $6.98

total cost of putting carpet in both rooms  =$3692.42

6 0
4 years ago
The weights of five grapefruits are 7.47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. using the clustering es
satela [25.4K]

Answer:

35.45

Step-by-step explanation:

6 0
3 years ago
In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students
Elena-2011 [213]
30 students

14 have no siblings

that leaves 16 with siblings

6 have brothers and 12 have sisters which = 18 so 2 of the students have both a brother and a sister

2/30 students have a brother and a sister

1/15 chance
3 0
3 years ago
Which quadrilaterals have two pairs of opposite sides that are parallel and have no right angles?
Grace [21]
A trapezoid does not have 2 pair of parallel sides so we can cross that out. A rhombus does not have right angles so cross that out. So we got A and C. A square has 2 pair of parallel lines and and 4 right angle. Your answers should be.
<span>C. Square
It could not be A. Most likely its C. So you can pick both or just C.</span>
5 0
3 years ago
Read 2 more answers
247x82 using in area model
vovikov84 [41]

247x82=534 5 go in the hundreads place 3 go in the tens place and 4 go in the ones place


8 0
3 years ago
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