The area of the classroom is 8,671 in squared. you get this by multiplying base x height x width. You plug the same formula into the dollars he mentions and get 0.06890922 in squared. Than you divide the classroom dimensions by the dollar dimentions. that's 8,671 ÷ 0.06890922 = 125,832.21809795. rounding that to one decimal place, it would take $125,832.2 to fill up the classroom. (I might have gotten this wrong but I think this is the answer)
The expression of the translated function g(x) is gotten as; g(x) = 2x² - 3
<h3>How to Interpret Graph Translations?</h3>
We are given the function;
f(x) = 2x² + 3
Now, when we translate a function f(x) downwards, the new function becomes;
g(x) = f(x) - a
where a is the amount of units by which the graph was translated.
Thus for translation of 6 units vertically downwards;
g(x) = 2x² + 3 - 6
g(x) = 2x² - 3
Read more about Graph Translations at; brainly.com/question/26238840
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Solve for a.
y=2x/a+2b
Multiply both sides by a.
ay=2ab+2x
Add -2ab to both sides.
ay+−2ab=2ab+2x+−2ab
−2ab+ay=2x
Factor out variable a.
a(−2b+y)=2x
Divide both sides by -2b+y.
a(−2b+y) / −2b+y = 2x / −2b+y
a = 2x / −2b+y
Answer
Find out the the rate of the boat in still water.
To proof
let us assume that the speed of the boat in the still water = u
let us assume that the speed of the current = v
Formula
As given
18 miles downstream for 3 hours
Now for the downstream
u + v = 6
now for the upstream
As given
the trip back against the current takes 6 hours
u-v = 3
Than the two equation becomes
u + v = 6 and u - v = 3
add both the above equation
we get
2u = 9
u = 4.5miles per hour
put this in the u - v = 3
4.5 -v = 3
v =1.5 miles per hour
The rate of the boat in the still water is 4.5miles per hour .
Hence proved
