Answer:
w = 1.6
Step-by-step explanation:
Given w varies inversely as
then the equation relating them is
w =
← k is the constant of variation
To find k use the condition when x = 4, w = 4
k = w
= 4 ×
= 4 × 2 = 8
w =
← equation of variation
When x = 25, then
w =
=
= 1.6
You would have no trouble at all if the problem said "11 cows - 8 cows",
or "11 books - 8 books", or "11 cats - 8 cats", or "11 footballs - 8 footballs".
So why does it scare you when the items being counted are 'm's ?
Oh ! Here's another beauty: 11 M&Ms - 8 M&Ms = ?
Ans(a):
Given function is 
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4

We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(e):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation





4x-3x=-1-16
x=-17
Hence final answer is x=-17
Answer:
The new volume of an enlarged tank is 4000m³
Step-by-step explanation:
The scale factor has to be multiplied by the width, length and height so we will have to multiply it 3 times
h * w * l = 32 m³
(h*5) * (w*5) * (l*5)
if we rearrange the multiplications
(h * w * l) * 5 *5 * 5 =
v * 5 * 5 * 5 =
32m³ * 5 *5 *5 = 4000m³
°°°4°°°2°°°-18°°°°°°38
•|
-3|°°°-12°°°30°°°°°-36
------------------------------'
°°°4°° -10 12°°°°° °°2
remainder=2