Answer:
7c + 5
Step-by-step explanation:
(8c+8)–(c+3)
8c - c = 7c
8 - + 3 = 5
7c + 5
Answer:
yes indeed gl
Step-by-step explanation:
Answer:
The conclusion is True
Step-by-step explanation:
Solution:
- The standard deviation of company s1 = 0.035
- The standard deviation of company s2 = 0.062
- Null Hypothesis : s1^2 = s2^2
- Alternate hypothesis : s1^2 < s2^2
- Criteria to reject Null: M > M_a ( 12 - 1 , 12 - 1 )
- From Tables, M > 2.82
- M - statistics value M = s2^2 / s1^2
- M = (0.062 / 0.035)^2 = 3.14
- M = 3.14 > 2.82 ... Criteria of rejection is met
- Null Hypothesis must be rejected at level of significance a = 0.05
- p value, 1 - 0.965 = 0.035 < 0.05 ( Significance Level )
- The conclusion is True
A quadratic in vertex form reads as
(<em>x</em> - <em>a</em>)² + <em>b</em>
where (<em>a</em>, <em>b</em>) is the vertex.
To get the given quadratic in this form, complete the square:
<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 6<em>x</em> + 9 - 49 = (<em>x</em> - 3)² - 49
Or, work backwards by expanding the vertex form and solving for <em>a</em> and <em>b</em> :
(<em>x</em> - <em>a</em>)² + <em>b</em> = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>
So if
<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>,
then
-2<em>a</em> = -6 → <em>a</em> = 3
<em>a</em>² + <em>b</em> = -40 → <em>b</em> = -49
Divide everything by 1/4
you will get
y+3/8*4/1
y+1 1/2
therefore
1/4(y+1 1/2) is the answer