Answer:
A. (–8, 2)
Step-by-step explanation:
(1) y = ½x + 6
(2) y = -¾x – 4 Set (1) = (2)
½x + 6 = -¾x – 4 Multiply each side by 4
2x + 24 = -3x – 16 Add 16 to each side
2x + 40 = -3x Subtract 2x from each side
40 = -5x Divide each side by -5
(3) x = -8 Substitute (2) into (1)
y = ½(-8) +6
= -4 + 6
= 2
The solution to the system of equations is (-8 ,2).
You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).
Check:
2 = ½(-8) + 6 2 = -¾(-8) - 4
2 = -4 +6 2 = 6 - 4
2 = 2 2 = 2
Answer:
<h2>(f/g)(x) = 3</h2>
Step-by-step explanation:
f(x) = 9x + 3
g(x) = 3x + 1
To find (f/g)(x) divide f(x) by g(x)
That's

Factorize f(x)
f(x) = 9x + 3 = 3(3x + 1)
So we have

Simplify
We have the final answer as
<h3>(f/g)(x) = 3</h3>
Hope this helps you
220% of the goal. This is because 500 cans would be 200% but since it’s 550, the extra 50% would equal to 220%.
Answer:
0
Step-by-step explanation:
(1)^2(-1)^2 +(1)(-1) -(-1)^3 -(1)^3
= 1·1 -1 -(-1) -1
= 1 - 1 + 1 - 1 = 0