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Studentka2010 [4]
4 years ago
13

Determine all of the positive values of k for which x2+6x+k​

Mathematics
1 answer:
riadik2000 [5.3K]4 years ago
6 0

Answer:

5, 8, and 9

Step-by-step explanation:

If the function is to be factorable, then k must be values which have factors that add to 6.

6 can be added as 1+5, 2+4, and 3+3. These pairs of factors multiply to 5, 8, and 9.

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Using the letters GBLAOKZE you select the A from the group without replacing the A,you select a second letter.find P(not K)
andre [41]

Answer:

Step-by-step explanation:

After selecting A there are 6 letters that are not K out of the remaining 7 letters so

P(!K)=6/7

5 0
3 years ago
3600<br> in standard<br> form
slavikrds [6]

Answer:

3.6 x 10^3

Step-by-step explanation:

4 0
3 years ago
How to answer this question, please I need steps​
crimeas [40]

Answer:

B

Step-by-step explanation:

We require 2 equations in 2 variables

let x be the number of salads sold and y the number of drinks sold, then the 2 equations are

x + y = 209 → (1)

6.5x + 2y = 836.5 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate y

- 2x - 2y = - 418 → (3)

Add (2) and (3) term by term

(6.5x - 2x) + (2y - 2y) = (836.5 - 418) ← simplify

4.5x = 418.5 ( divide both sides by 4.5 )

x = 93

The number of salads sold was 93

5 0
3 years ago
A student wanted to construct a 95% confidence interval for the average age of students in her statistics class. She randomly se
Darina [25.2K]

Answer: (17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

\overline{x}=19.1 years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level : \alpha= 1-0.99=0.01

Degree of freedom : df= 8  (∵df =n-1)

Critical value : t_c=t_{(\alpha/2,\ df)}=t_{0.005,\ 8}= 3.355

The 99% confidence interval for the population mean would be :-

\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}

19.1\pm (3.355)\dfrac{1.5}{\sqrt{ 9}}\\\\=19.1\pm1.6775\\\\=(19.1-1.6775,\ 19.1+1.6775)\\\\=(17.4225,\ 20.7775)\approx(17.42,\ 20.78)

Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .

7 0
3 years ago
The sum of three consecutive natural numbers is 540, find the numbers.
vladimir1956 [14]

Answer:

179, 180, 181

Step-by-step explanation:

a +a +1 +a +2 =540

3a +3 =540

3a =540 - 3

3a=537

a=537 :3

a=179 (the first number

b=179 +1 =180 (the second number

c=179 +2 =181 (the third number

5 0
4 years ago
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