The equation of the new function is f'(x) = -|x|
<h3>How to determine the
equation of the
new function?</h3>
The function is given as:
f(x) = |x|
The rule of flipping the graph over the x-axis
(x, y) = (x, -y)
So, we have:
f'(x) = -f(x)
Substitute f(x) = |x|
f'(x) = -|x|
Hence, the equation of the new function is f'(x) = -|x|
Read more about function transformation at:
brainly.com/question/13810353
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The skier earns 35.875 points.
We can find the height in the air by using -b/2a:
-28/2(-16) = -28/-32 = 0.875
This will give the skier 0.875 points.
To find the amount of time in the air, we solve the related equation:
0=-16t²+28t+8
We will first factor out the GCF, -4:
0=-4(4t²-7t-2)
Now we will factor the trinomial in parentheses using grouping. We want factors of 4(-2)=-8 that sum to -7; -8(1) = -8 and -8+1=-7. This is how we will "split up" bx:
0=-4(4t²-8t+1t-2)
Now we will group the first two and last two terms:
0=-4[(4t²-8t)+(1t-2)]
We will factor out the GCF of each group:
0=-4[4t(t-2)+1(t-2)]
This gives us the factored form:
0=-4(4t+1)(t-2)
Using the zero product property, we know that either t-2=0 or 4t+1=0:
t-2=0
t-2+2=0+2
t=2
4t+1=0
4t+1-1=0-1
4t=-1
4t/4 = -1/4
t=-1/4
Negative time makes no sense, so t=2. This gives the skier 5(2) = 10 points.
Counting the perfect landing, we have 25+10+0.875 = 35.875 points.
Well I can only figure out the second one......... 3 11/25
I think its C :) what do you think?