Answer:
<em>Equation of line; y = - 6x</em>
Step-by-step explanation:
As we can see from this graph, point ( 0, 0 ) lying on this graph intersects the y - axis such that it forms a y - intercept of 0;
At the same time we can note that the change in y / change in x, in other words the slope, differs by a rise of 6 / run of - 1, 6 / - 1 being a slope of - 6;
If this equation is in slope - intercept form ⇒
y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,
<em>Equation of line; y = - 6x</em>
To start solving, separate this shape into 2 separate shapes. The dimensions of the smaller shape are 2 by 3 feet. The dimensions of the larger one are 3 by 11 feet. To find the area of an object, multiply its dimensions. Therefore, you multiply 2 by 3 and 3 by 11. You will get the products 6 and 33. Since we are still working within the same shape, however, you add the products together. You get 39. Therefore, 39 ft. squared is the answer.
A nice riddle, mathematical riddle.
Assuming a turtle winning means the declared winner is the weaker one actually won over the stronger one. In this context, the turtle winner is the one who has a lesser number of favourable votes.
The given rules for the points are as follows:
1. Point for the first choice must be greater than or equal to that of the second choice.
2. All points must be positive whole numbers.
Let's suppose we have Henry against Tim.
Henry is favourite of the voters and is the leading candidate, according to popular polls.
Tim is an excellent manipulator, sly, and everybody knows this.
On polling day, the vote count came out as follows (in point counts)
Henry Tim
2 1
2 1
2 1
2 1
2 1
2 1
10 1 (Henry's own vote)
1 100 (Tim's own vote)
------------------
17 107 TOTAL POINTS
So Tim the turtle was declared winner of the race, and since everything was according to rule, even a recount of the votes did not change the results.
Be aware, voting by districts (instead of popular votes) also exhibits a similar problem.
Answer:
12.
Step-by-step explanation:
Average rate of change = (value of the function when x = 9 - value when x=3)
/
(9 - 3)
= f(9) - f(3) / (9-3)
= (9^2 - 3^2) / (9-3)
= 72 / 6
= 12.
