General vertex form:
Given :
Extract "spread factor" m
Complete the square
Write as a squared binomial and simplify the constant
Re-write to match signs of standard general form:
The mass of one boulder is about 4,600 kilograms. The mass of a second boulder is about 4,800,000 grams. Which boulder has a gre
1 answer:
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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(c):
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:
(a)
(b) units.
(c) m = 10 units
Step-by-step explanation:
Force (F), mass (m) and acceleration (a) are related by the equation F = ma.
(a) We have to solve this equation for a.
So, F = ma ........ (1)
⇒ ..... (2) (Answer)
(b) If F = 1 units and m = 5 units, then from equation (1), we get
units. (Answer)
(c) If F = 25 units and a = 2.5 units.
Then from equation (1), we get,
units. (Answer)