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GenaCL600 [577]
3 years ago
15

Which zero pair could be added to the function fon) = x2 + 12x + 6 so that the function can be written in vertex form?

Mathematics
2 answers:
Oksanka [162]3 years ago
4 0

ANSWER

36,-36

EXPLANATION

The given function is:

f(x) =  {x}^{2}  + 12x + 6

To write this function in vertex form;

We need to add and subtract the square of half the coefficient of x.

The coefficient of x is 12.

Half of it is 6.

The square of 6 is 36.

Therefore we add and subtract 36.

Hence the zero pair is:

36, -36.

The correct answer is D.

KengaRu [80]3 years ago
3 0

Answer:

Last option: 36,-36​

Step-by-step explanation:

The vertex form of the function of a parabola is:

y=a(x-h)^2+k

Where (h,k) is the vertex.

To write the given function in vertex form, we need to Complete the square.

Given the Standard form:

y=ax^2+bx+c

We need to add and subtract (\frac{b}{2})^2 on one side in order to complete the square.

Then, given y=x^2+12x+6, we know that:

(\frac{12}{2})^2=6^2=36

Then, completing the square, we get:

 y=x^2+12x+(36)+6-(36)

y=(x+6)^2-30 (Vertex form)

Therefore, the answer is: 36,-36​

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There are 8 ounces in 1 cup and 2 cups in 1 pint. Mrs. Tores picked 5 pints of blueberries
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Answer:

80 oz

Step-by-step explanation:

5 pints is 10 cups. 8 oz in a cup. Multiply 10(8) and you get 80 oz

5 0
3 years ago
In the accompanying diagram of ABC ca is extended to D, m∠ABC = 70 and m∠BCA =50 Find m∠DAB
zvonat [6]

Answer:

<em>120 degrees</em>

Step-by-step explanation:

Find the diagram attached.

From the diagram;

Interior angles are m∠BCA and m∠ABC

Exterior angle is m∠DAB

The sum of interior angle of the triangle is equal to exterior

m∠BCA +m∠ABC =m∠DAB

Given

m∠ABC = 70

m∠BCA =50

m∠DAB = 70 + 50

m∠DAB = 120 degrees

<em>Hence the measure of m∠DAB is 120 degrees</em>

6 0
3 years ago
Khan Acad
alexandr402 [8]

Answer:

7.222 (repeating)

Step-by-step explanation:

8 + 10 + 8 + 5 + 4 + 7 + 5 + 10 + 8 = 65

1      2    3    4    5    6    7    8     9

65 / 9 = 7.222 (repeating)

6 0
3 years ago
What's do you think that is delaying the development of African countries?​
Amiraneli [1.4K]

Answer:

Poverty in Africa is caused by corruption and poor governance, poor land utilisation and land tenure system, civil wars and unending political conflicts, poor infrastructure, diseases and poor health facilities, the World Bank and IMF policies, among others.

6 0
3 years ago
Find (a) the number of subsets and (b) the number of proper subsets of the set.
vaieri [72.5K]

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

<u>Total No. of Subsets = 128</u>

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

<u>Total No. of Proper Subsets = 127 </u>

3 0
3 years ago
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