Answer: y= 3/2x+8
Step-by-step explanation:
6x + 45 + 3x = 180
9x - 45 = 180
9x = 135
x = 15
Answer: y = -3(x +
)² +
,
,
<u>Step-by-step explanation:</u>
First, you need to complete the square:
y = -3x² - 5x + 1
<u> -1 </u> <u> -1 </u>
y - 1 = -3x² - 5x
y - 1 = -3(x² + 
y - 1 + -3(
) = -3(x² +
+
)
↑ ↓ ↑
= 
y - 1 -
= -3(x +
)²
y -
-
= -3(x +
)²
y -
= -3(x +
)²
y = -3(x +
)² +
Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>
Vertex =
,
In the old aquarium, 3 tablespoons of salt were used for 20 gallons. That's a conversion ratio of

That is, for every gallon of water in the aquarium, there was 0.15 tbsp of salt. So a 50 gallon aquarium, Ill should add

to maintain the salinity.
Make an inequality representing both constraints.
0.5x+y<20
x+y≥24
for a