A = 0.50j + 6.......u r correct
he started with 6....and he is selling each cup (j) for 0.50
so lets say he sold 10 cups...u would sub in 10 for j
A = 0.50(10) + 6
A = 5 + 6
A = 11......and he would have $ 11
To find the ordered pair solution, you need to find the zero(s) (which are the x-values for which y is equal to zero). This is called the Zero Product Property. Here's the math:
-2x-y=4 convert the equation into slope form
-y=2x+4 multiply both sides by -1
y=-2x-4 convert into factored form
y=-2(x+2) now, we need to find what x equals that makes y equal zero
0=-2(x+2) replace y with zero
0/-2=x+2 divide both sides by -2
-2=x x=-2 when y=0
Therefore, the zero of the equation (aka the solution) is the ordered pair (-2,0).
Answer: (-2,0)
If you have access to a graphing calculator, you can just convert the equation to y=mx+b form and enter it as a function. The solution is wherever the graph intercepts the x-axis. Hope this helps!
Cancel out the 2 with 8 in the denominator giveing you 4.
so, 3/4 * 1/7 = (3*1)/(7*4) = 3/28
The graph shows us that the slope of f(x) is -2. Now we gotta find the slope of g(x) to compare it to that of f(x). The equation of g(x) is in slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept), so the slope is given to us for that one as well: it's -6. A line with a slope of -6 will be steeper than a line with a slope of -3, therefore the answer is B - the slope of f(x) is less than the slope of g(x).
Hope this helps.