A club has a total of $1,520.50 in its bank account. At a budget meeting they decide to set aside 0.28 times the total amount fo
2 answers:
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Answer:
A)<em> g(x) </em>has a greater absolute maximum.
Step-by-step explanation:
Given graph of g(x) which is a Parabola
1. Opens downwards
2. The absolute maximum (vertex) is at around (3.5, 6)
i.e. value of absolute maximum is 6.
Another function:
Let us convert it to vertex form to find its vertex.
Taking - sign common:
Now, let us try to make it a whole square,
Writing 5 as 4+1:
Please refer to attached graph of f(x).
We know that, vertex form of a parabola is given as:
Comparing the equations we get:
a = -1 (Negative value of <em>a</em> means the parabola opens downwards)
h = 2, k = -1
Vertex of f(x) is at (2, -1) i.e. value of absolute maximum is -1
and
Vertex of g(x) is at (3.5, 6)
i.e. value of absolute maximum is 6.
Hence, correct answer is:
A)<em> g(x) </em>has a greater absolute maximum.
Renaming fractions is also called "borrowing" - it's because you borrow fraction parts from the wholes of a mixed number.
this is necessary when, if you subtract, the subtracted fraction part is bigger than the fraction part of the number from which you subtract: so here 3/4 is bigger than 1/4 and we need to borrow
if we wanted to subtract 3/4 from 4 1/4 then you're stuck: how do you subtract 3/4 from 1/4? you can't, but you can change 4 1/4 into 3 5/4 !!!! it's the same number, you just borrowed from the whole unmbers and put into the fraction!
now we can subtract: 3 5/4-3/4 is 3 2/4
this is necessary when, if you subtract, the subtracted fraction part is bigger than the fraction part of the number from which you subtract: so here 3/4 is bigger than 1/4 and we need to borrow
if we wanted to subtract 3/4 from 4 1/4 then you're stuck: how do you subtract 3/4 from 1/4? you can't, but you can change 4 1/4 into 3 5/4 !!!! it's the same number, you just borrowed from the whole unmbers and put into the fraction!
now we can subtract: 3 5/4-3/4 is 3 2/4