Answer:
(-2 , 5)
(-1 , 0)
(1 , -4)
(3 , 0)
(4 , -5)
Step-by-step explanation:
<u>First solve the equation:</u>
x² - 2x - 3
<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>
-3 and 1
(x - 3)(x + 1)
Solve for x:
x - 3 = 0
x = 3
x + 1 = 0
x = -1
You know that the graph will cross the x-axis at -1 and 3.
(-1 , 0)
(3 , 0)
You know that the graph is positive.
<u>Complete the square to find the vertex</u>
x² - 2x - 3
(x - 1)² = x² - 2 + 1
x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2
1 = 0
x = 1
Substitute into the original equation:
x² - 2x - 3 =
1² - (2 * 1) - 3 =
1 - 2 - 3 =
-4
(1 , -4)
<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>
x² - 2x - 3 =
-2² - (2 * -2) - 3 =
4- -4- 3 =
5
(-2 , 5)
x² - 2x - 3 =
4² - (2 * 4) - 3 =
16 - 8 - 3 =
-5
(4 , -5)
4u+3c-6 is thats what its asking for? just puting the same variables together
Answer:
350
Step-by-step explanation:
Nearest hundred: 300
Nearest whole number: 350
Hope this helped!
Answer:
option (b) df = 1, 24
Step-by-step explanation:
Data provided in the question:
levels of factor A, a = 2
levels of factor B, b = 3
Subjects in each Sample, s = 5
n = 5 × 3 × 2 = 30
Now
df for Factor A = a - 1
= 2 - 1
= 1
df for Factor B = b - 1
= 3 - 1
= 2
df for Interaction AB = ( a - 1 ) × ( b - 1 )
= 1 × 2
= 2
df for Total = n - 1
= 30 - 1
= 29
df for error = 29 - 5
= 24
Hence,
df values for the F-ratio evaluating the main effect of factor A is 1, 24
The correct answer is option (b) df = 1, 24