cant figure these math questions out /:

Test Preparation
1

<p>in the college board blue book, on test 1- there are 2 math questions i dont understand how to do, hopefully someone can explain it in the easiest terms possible :D</p>

<p>section 6 #16:</p>

<p>Let the operations "triangle" and "square" be defined for all real numbers a and b as follows.</p>

<p>a "triangle" b= a + 3b
a "square" b = a + 4b</p>

<p>If 4 "triangle" (5y)= (5y) "square" 4, what is the value of y?</p>

<p>section 6 #17:</p>

<p>In the xy-coordinate plane, the graph of x=(y^2)-4 intersects line "l" at (0,p) and (5,t). What is the greatest possible value of the slope "l"?</p>

2

<p>4 + 3(5y) = 5y+ 4(4)
4 + 15 y = 5y + 16
10 y =12
y = 1.2</p>

3

<p>can you explain kinda please maybe?</p>

4

<p>nevermind, got the first one---how bout the 2nd problem??</p>

5

<p>In the xy-coordinate plane, the graph of x=(y^2)-4 intersects line "l" at (0,p) and (5,t). What is the greatest possible value of the slope "l"?</p>

<p>The graph of x=(y^2)-4 is a parabola open to the right, with y intercepts of 2 and -2, that is, the points (0,2) and (0,-2) lie on the graph.</p>

<p>Plugging 5 in for x, we get t = 3 or -3 for intersection at (5,3) or (5,-3)</p>

<p>We now have two choices for p and two for t. Pick p = -2 and t = 3 for maximum slope = 1</p>