Answer:
(- 1, 6 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 6x ← add 6x to both sides
x² + 4x + 3 = 0 ← in standard form
(x + 3)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 1 = 0 ⇒ x = - 1
Substitute these values into f(x) = - 6x
f(- 3) = - 6(- 3) = 18 ⇒ (- 3, 18 )
f(- 1) = - 6(- 1) = 6 ⇒ (- 1, 6 )
Answer:
1. b=28 m
2. c=34 m
3. Yes
4. No
5. Yes
6. Yes
7. Yes
8. 6.7
9. 7.1
10. 7.1
11. The Pythagorean Theorem can be used to tell the distance between two points, which can be useful when building or traveling.
Step-by-step explanation:
The Pythagorean Theorem is just a^2+b^2=c^2
Answer: at lease 8 packages of Aero flight tees.
Step-by-step explanation:
At least 10 golf tees for each member of his foursome = total of at least 4*10 = 40 tees.
2 packages of the generic golf tees, that are packaged by the dozen = 2*12 = 24 tees.
So, Bill must buy at least 16 Aero tees.
This means he must buy 8 pairs
Answer: 323
Step-by-step explanation:
The formula to calculate the sample size for proportion is given by :_
Given : Significance level :
Critical value :
Margin of error :
The proportion of successes :
Now, the required sample size will be :-
Hence, the minimum required sample size = 323