Answer: 175
<u>Step-by-step explanation:</u>
To find maximum, we need to find the vertex.
The x-value of the vertex is the number of automobiles that should be made and sold. <em>The y-value is the maximum profit.</em>
P(x) = -10x² + 3500x - 66,000
a=-10, b = 3500, c=-66,000
<u>BONUS:</u>
The maximum profit is: P(x) = -10(175)² + 3500(175) - 66,000
= -300,625 + 612,500 - 66,000
= 245,875
since y = both rewrite as
32x+6 = 14x-2 and solve for x
32x +6 = 14x-2
add 2 to both sides:
32x +8 = 14x
subtract 32x from both sides:
8 = -18x
divide both sides by -18
x = 8/-18 which reduces to -4/9
now use that for x and solve for Y
32(-4/9) +6 = -74/9
ordered pair:
(-4/9, -74/9)
<h3>
Answer: Choice A) 0.20</h3>
===================================================
Explanation:
Let's say there are 1000 students. The students must take math, science or they can take both simultaneously.
- 65% of them are in math. So there are 0.65*1000 = 650 math students.
- 43% are in science, leading to 0.43*1000 = 430 science students.
- 13% are in both so we have 0.13*1000 = 130 students who are in both.
Now onto the sentence that says "Suppose a high school student who is enrolled in a math class is selected at random"
This means we only focus on the 650 math students and ignore the 1000-650 = 350 students who aren't in math.
Of those 650 math students, 130 are also in science (since 130 are in both classes).
The probability we're after is therefore 130/650 = 0.20
The greatest common divisor of these numbers is 12.
