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Rudiy27
3 years ago
8

X^2 +6x+30 in vertex form

Mathematics
2 answers:
Elina [12.6K]3 years ago
7 0

Answer:

Step-by-step explanation:

Factoring  x2-6x-30

The first term is,  x2  its coefficient is  1 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -30

Step-1 : Multiply the coefficient of the first term by the constant   1 • -30 = -30

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   -6 .

     -30    +    1    =    -29

     -15    +    2    =    -13

     -10    +    3    =    -7

     -6    +    5    =    -1

     -5    +    6    =    1

     -3    +    10    =    7

     -2    +    15    =    13

     -1    +    30    =    29

ANEK [815]3 years ago
3 0
The correct answer is 29 vertex
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The amount of time it takes to cook a turkey increases with the weight of the turkey. it is recommended that you cook a 10-lb tu
nadezda [96]
Answer:
The weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.

Explanation:
1- Direct proportional means that when the weight of the turkey increases, the time required to cook it increase with the same amount, and vice versa
2- Inverse proportional means that when the weight of the turkey increases, the time required to cook it decrease, and vice versa
2- No proportionality relation means that the two are not related to each other.

Now, for the given problem, we are given that:
i. 10lb turkey takes 3 hours to cook
ii. an additional 12 minutes is added for every extra 1lb of turkey

Therefore:
If we have 10lb turkey ......> time required = 3 hr
If we have 11lb turkey .......> time required = 3 hr + 12 min
If we have 12lb turkey .......> time required = 3 hr + 12 min + 12 min
If we have 13lb turkey .......> time required = 3 hr + 12 min + 12 min + 12 min
Noticing the pattern, we can find that:
time required to cook the turkey increases as the weight of the turkey increases but not at the same rate.
This means that when the weight of the turkey is doubled, the time increases, however, it is not doubled.
This means that the weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.

Hope this helps :)



3 0
3 years ago
Read 2 more answers
Jesse played two days of golf. On the second day, he got a score of -6. His total score for the two days was 0. Define a variabl
Serhud [2]
Okay so -6 + Y = 0
Y = his total score on the first day
so you can do 0- (-6)= Y
answer Y= 6
first day he got a score if 6
3 0
4 years ago
Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes o
spayn [35]

Answer: There are 32 students who like brussels sprouts but dislike beans.

Step-by-step explanation:

Since we have given that

Number of students eat in the cafeteria = 120

Fraction dislike lime beans = \dfrac{2}{3}

Fraction who dislike lime beans and brussles sprouts both = \dfrac{2}{3}\times \dfrac{3}{5}

Fraction who dislikes lime beans but not brussles is given by

\dfrac{2}{3}(1-\dfrac{3}{5})\\\\=\dfrac{2}{3}\times \dfrac{2}{5}\\\\=\dfrac{4}{15}

So, Number of students who like brussels sprouts but dislike lima beans is given by

\dfrac{4}{15}\times 120\\\\=32

Hence, there are 32 students who like brussels sprouts but dislike beans.

7 0
3 years ago
Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n? All integers where n ≥ 1 All integers where n > 1
krok68 [10]

All integers where n ≥ 1.

We have given that the sequence,

a_{n} =4-3(n-1)

We have to find the domain for n.

<h3>What is the meaning of arithmetic sequence?</h3>

Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.

That is, a_{n} =a+(n-1)d

where a = first term of sequence.

d =common difference.

n =number of terms which belongs to natural numbers

By  the definition of arithmetic sequence n starts with 1

Remember that,the natural number starts with 1

Now, in given sequence  for nth term

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The domain for n is All integers where n ≥ 1.

To learn more about the arithmetic sequence visit:

brainly.com/question/20118982

4 0
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Citrus2011 [14]
If you add the standard deviation to the average, it is 14.84. Because Marcus's score was lower than that, he will not receive a certificate. 
I think this should be right for the reason and the calculation. 


8 0
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