The graph shows y as a function of x. Suppose a point is added to this graph. Which choice gives a point that preserves the func
tion, meaning it will keep the graph a function ?
A. (1,9)
B. (8,9)
C. (-3,3)
D. (-6,5)
A. (1,9)
B. (8,9)
C. (-3,3)
D. (-6,5)
2 answers:
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Because this is a fourth degree that will be tricky to factor as it is, we will do a u substitution. Let . We can now rewrite that polynomial in terms of u:
. Filling into the quadratic formula we have
. Simplifying down
and
or
. That means that u = 8 or u = -1. But don't forget that we let
, so we have to put x-squared back in for u. That gives us
which simplifies down to
. That also gives us
. When we take the square root of -1, we have to use the fact that -1 = i^2, so we sub that in to get
. All in all, your solutions are as follows:
which is choice b.
Answer:
$64
Step-by-step explanation:
After using a 25% discount coupon, they paid 48 for the video game.
It means, <em>which number, decreased by 25%, would give us 48?</em>
<em />
First, 25% to decimal is:
25/100 = 0.25
Now, if we let the original price be "x", we can say:
x decreased by 0.25 of x would give us 48
Translating this to algebraic equation gives us:
x - 0.25x = 48
Now, we solve this:
If they paid full price, the video game would cost $64