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 .
Answer:
The ball is 3.86 meters from the wall when it stops rolling.
Step-by-step explanation:
Representation of the situation:
This situation can be represented by a right triangle:
The hypotenuse is the distance the ball traveled, of 6 meters.
The distance from the wall is the side opposite to the angle of 40º.
We have that:
Sine of an angle is the length of the opposite side divided by the hypotenuse. So, in this situation.
Sine of 40 degrees = Distance from the wall/6
Sine of 40 degrees is of 0.64278760968.
Distance = 6*0.64278760968 = 3.86.
The ball is 3.86 meters from the wall when it stops rolling.
Answer:
Step-by-step explanation:
y2-y1 / x2-x1
x1 = 1
x2 =-6
y1= 1
y2= 9
=
=
Divide the number of possible outcomes by the number of total outcomes.
Green: ≈ 0.55
Red: = 0.45
Since only red counters were added, this changes the probability of the counter being red to 0.6 or 60% and the probability of it being green to 0.4 or 40%. This means that the change in probability for the red counters was 15% or 0.15.
Set up a proportion:
, so x = 1.65, which rounds to 2 red counters.
We can prove this by adding 5 + 2 red counters. 7/11 = 0.6 or 60% chance.
Your final answer is 2 red counters were added.
Hope this helped. Get well soon.
18/99 makes it 2/11 which is
0.18181818181818181818181818....
Is that what you wanted?
Thank you!
Hope I helped!
Happy Holidays!
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