Answer:
- max for 5th-degree: 4 turns. This function: 2 turns.
- max for 7th-degree: 6 turns. This function: 0 turns.
Step-by-step explanation:
In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.
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1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.
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2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.
Answer:
46°
Step-by-step explanation:
Given that :
Angle, A = 66°
Angle B = 68°
The sum of angles in a triangle is given by :
A + B + C = 180° (sum if angles una triangle)
66° + 68° + C = 180°
134° + C = 180°
C = 180° - 134°
C = 46°
Hence, angle C is 46°
Answer:
Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.
Step-by-step explanation:
Given that in a fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standard deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams
H0: The two means are equal
Ha: The two means are not equal
(Two tailed test at 5% level)
Variable A Variable B
Mean 1080.00 1120.00
SD 75.00 100.00
SEM 13.26 16.01
N 32 39
95% CI: -82.65 to 2.65
Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.
Answer:
y=-5x-36
Step-by-step explanation:
-66-(-61)= -5
6-5= 1
-5/1= -5
Y=-5x + B
-66= -5(6) + B
-66= -30 + B
-66 + 30 = (-30 +30) + B
-36 = B
Y= -5x-36
