The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x = - 3
x = ( - 3 ) : ( - 3 )
x = 1
When x = 0
y = 3 * 0 - 3
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) =
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .
17. 9
18. 12
19. 16
20. 56
21. 143
22. 14
23. 27
24. 7
Answer:
3/12
Step-by-step explanation:
6/12 - 5/12 + 4/12 - 3/12 + 2/12 - 1/12
6 - 5 + 4 - 3 + 2 - 1 =
1 + 4 -3 + 2 - 1=
5 - 3 + 2 - 1=
2 + 2 - 1=
4 - 1=
3=
The distance ( S ) is represented by the equation:
S ( t ) = - 16 t² + 25
- 16 t² + 25 = 0
- 16 t² = - 25 / · ( - 1 )
16 t² = 25
t ² = 25 / 16
t = √( 25/16) = 5/4 = 1.25 s ( we will not accept the negative value )
Answer:
The acorn is moving trough the air for 1.25 seconds.
