Answer:
Probability that song selected after first selection is rock = 2/7
Probability that song selected from the remaining after second selection is country rock = 1/2
Step-by-step explanation:
Total number of songs = 7
After first selection, probability that the song selected is rock = 2/7
After second selection, probability that the song selected from the remaining is a country song = 3/6 = 1/2
Answer:
- 21
Step-by-step explanation:
The minimum value occurs at the vertex of the function
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Given
f(x) = x² - 6x - 12
add/ subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 - 12
= (x - 3)² - 21
with vertex = (3, - 21 )
The minimum is the value of k, that is minimum value = - 21
Answer:
1
1 is the only integer that can go into 5 as 5 is a prime number
Question:
Find numbers a and k so that x-2 is a factor of

and

Answer:
and 
Step-by-step explanation:
Given



Required
Find a and k
For 
Substitute -1 for x





Substitute 3 for f(-1)

Collect Like Terms


Also:
If
is a factor, then

Substitute 2 for x and 0 for f(x)





Collect Like Terms



Substitute 12a - 14 for k in 


Collect Like Terms


Solve for a


Substitute 1 for a in 



Answer:
X = 9 and Y = 8
Step-by-step explanation:
We are to find the midpoint of the coordinates (13,15) and (5,1).
Using the midpoint formula;
M(X, Y) = [(x1+x2)/2, (y1+y2)/2]
X = (x1+x2)/2
Y = (y1+y2)/2
From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1
X = 13+5/2
X = 18/2
X = 9
Similarly;
Y = 15+1/2
Y = 16/2
Y = 8
Hence The Tourist Information Center is located at point X = 9 and Y = 8