Answer:
x = 10
Step-by-step explanation:

Step 1 : Collect like terms and simplify

Step 2 : Divide both sides of the equation by 2

Step 3 : Simplify by cross cancellation of common term : 2

Step-by-step explanation:
General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.
We have y = ax + b.
=> y - b = ax
=> y - b = a(x - 0).
The answer is option A.
Answer:
8y^3+6y^2-29y+15
Step-by-step explanation:
the correct expression is
(4y − 3)(2y^2 + 3y − 5)
Given data
We have the expression
(4y − 3)(2y^2 + 3y − 5)
let us open bracket
8y^3+12y^2-20y-6y^2-9y+15
Collect like terms
8y^3+12y^2-6y^2-20y-9y+15
8y^3+6y^2-29y+15
Answer:
(a) 9.9321*10^{-11}
(b) 6.0498*10^{-11}
(c) 7.7120^{-11}
(d) 1.6417 times more probable
Step-by-step explanation:
(a) The probability of winning a 6/49 lottery is given by:

(b) The probability of winning a 6/53 lottery is given by:

(c) The probability of winning a 6/51 lottery is given by:

(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:

It is 1.6417 times more probable.
Answer:
240 m
Step-by-step explanation:
Figure is attached.
The distance the particle travels is the area under the v-t graph over the time interval from 0 min to 4 min. The reason you can't just multiply velocity by time is that the velocity is changing at a constant rate over the given time interval (the line is going upward--the particls is speeding up).
What's the area under the graph?
The red outline forms a trapezoid. The area of a trapezoid is
where the <em>b</em>'s are the lengths of the two parallel base and <em>h</em> is the height (the distance between the bases).
Reading the graph carefully (notice the scales!)...
