Notice that the given info consists of boundary lines for an area in the xy plane. We are interested ONLY in values of x and y that are 0 or greater (positive). Graph 5x + 3y
37 and 3x + 5y less than or equal to 35.
Find the points of intersection of all four straight lines (including the x- and y-axes). There will be 4 such points (incl. the origin).
Next, evaluate the objective function 2x + 14y at each of these 4 points. Which of the four results is the largest? the smallest? Label them as 'maximum' and 'minimum.'
Questions? Just comment on this discussion.
Constant is the scale term in proportionality. Suppose one variable is dependent on the other and one variable become twice, other becomes also twice and if one becomes half, other too becomes half., but they are two different variables which are no-where linked (like cost(money) vs quantity). Quantity and cost are two different things but they abridge a mathematical relation of proportionality. So in the mathematics to abridge these two different variables, we need something. Constant serves that purpose.
Part A: it is linear because it is not curving and it consists of straight lines.
Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.
Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.
Hope this helps!!!
Answer:
89 meters
Step-by-step explanation:
We know it's 9 + "the height of the triangle".
Fortunately, the height of the triangle (let's call it y) can be computed from:
y^2 + 18^2 = 82^2 (Pythagoras theorem).
y^2 = 82^2 - 18^2 = 6724 - 324 = 6400
y = 80 (or y = -80 but it doesn't make sense in geometry).
so x = y + 9 = 89;
We find out the ratio 100: 12= 25/3
We need the number of <span>sticks of butter: 25/3 x 3/2= 25/2=12.5
That means you must buy 13 </span><span>sticks of butter
Have fun</span>
