Answer: zero slope
Explanation: The equation y = -4 can be thought of as y = 0x - 4.
So our line has a slope of 0 and a y-intercept of -4.
This line is a flat line or horizontal.
In fact, when the equation of any line reads y = <em>a number</em>, its slope
will always be 0 because it's a horizontal line.
So, this line has a slope equal to <em>zero</em>.
Answer:
x = 1 and vertex = (1, - 7 )
Step-by-step explanation:
Given a quadratic function in standard form
y = ax² + bx + c ( a ≠ 0 )
The the equation of the axis of symmetry which is also the x- coordinate of the vertex is
x = -
y = 4x² - 8x - 3 ← is in standard form
with a = 4, b = - 8 , then
x = - = 1
That is equation of axis of symmetry is x = 1
Substitute x = 1 into the function for y- coordinate of vertex
y = 4(1)² - 8(1) - 3 = 4 - 8 - 3 = - 7
vertex = (1, - 7 )
Answer:
211*10⁹
Step-by-step explanation:
Total songs = 3country + 6pop + 7 disco + 3hip-hop = 19 songs
Max pop songs = 3
Case 1: no pop songs;
¹³C₁₀*⁶C₀= 286
Case 2: 1 pop song ;
¹³C₉*⁶C₁= 4290
Case 3: 2 pop songs;
¹³C₈*⁶C₂= 19305
Case 4: 3 pop songs;
¹³C₇*⁶C₃= 34320
Total = 58201
so, now if order is also to be considered for making playlists then the number of playlists is =58201*10! = 211*10⁹