Answer:
The standard form of the equation is y = 2x^2 + 16x + 25
Step-by-step explanation:
To find the standard form, first square the parenthesis.
y = 2(x + 4)^2 - 7
y = 2(x^2 + -8x + 16) - 7
Now distribute the 2
y = 2(x^2 + 8x + 16) - 7
y = 2x^2 + 16x + 32 - 7
Now combine like terms
y = 2x^2 + 16x + 32 - 7
y = 2x^2 + 16x + 25
Let's come up with an equation for the numbers. We know that there are 136 faculty members, and there are 6 professors for every 11 lecturers. The equation could look something like this:
(6 * x) + (11 * x) = 136.
First, combine like terms:
6x + 11x = 136
17x = 136
Now, divide both sides by 17.
17x/17 = 136/17
x = 8.
Now, to check, plug in 8 for x in our equation:
(6 * 8) + (11 * 8) = 136
48 + (11 * 8) = 136
48 + 88 = 136
So to answer the question, they have 48 professors! :)
Answer:
5) p=67.5
6) p=60.9
Step-by-step explanation:
To find the perimeter of a polygon you add all the side lengths together.
Step 1:
11.3+11.3+23.3+21.6=67.5
Step 2:
19.7+14+9.3+17.9=60.9
25x+20y=455
x+y=20
20x+20y=400
-25x-20y=-455
-5x=-55
x=11
11+y=20
y=9
Solved it as well, sorry if I wasn't supposed to
