Answer:
○ 
Step-by-step explanation:
This system of inequalities has a shared portion at the origin, so we can easily jump to using the zero-interval test [test point (0, 0)] to verify the inequalities as false or true:
![\displaystyle 5[0] ≥ -4[0] - 10 → 0 ≥ -10](https://tex.z-dn.net/?f=%5Cdisplaystyle%205%5B0%5D%20%E2%89%A5%20-4%5B0%5D%20-%2010%20%E2%86%92%200%20%E2%89%A5%20-10)
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Plus, the top inequality has a <em>dashed </em><em>line</em><em> </em>["<" or ">"], and the bottom inequality has a solid line, so this must have an equivalence line underneath each inequality symbol ["≤" or "≥"].
** Hold on though! Although it looks obvious about what the second inequality is, we need to double-check and make sure anyway, just to be on the safe side ☺:
From the y-intercept of ![\displaystyle [0, -2],](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B0%2C%20-2%5D%2C)
we do 
by either moving four blocks <em>north</em><em> </em>over five blocks <em>west</em><em> </em>or four blocks <em>south</em><em> </em>over five blocks <em>east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. This IS what our solid graph looks like, so we are correct!
So, from all what was explained, you have your answer.
I am joyous to assist you anytime.
Answer:
y = -2x + 6
Step-by-step explanation:
Slope = (-4 - 8)/(5 + 1)
= -12/6
= -2
Equation
y - 8 = -2(x + 1)
y - 8 = -2x - 2
y = -2x + 6 <-----------slope-intercept form
Answer:
f(g(x)) = 9x^2 + 15x - 6
Step-by-step explanation:
We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.
Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:
f(g(x)) = (3x - 1)^2 + 7(3x - 1).
If we multiply this out, we get:
f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or
f(g(x)) = 9x^2 + 15x - 6
A=4
The work behind it
-11a+33= -11
-33 -33
-11a=-44
Divide both sides by -11
-44/-11=a
A=4
Answer:
57 adult tickets, 86 student tickets
