We know the number of yards run per quarter:
- Quarter 1: -2 yards
- Quarter 2: 14 yards
- Quarter 3: -18 yards
- Quarter 4: -6 yards
Sum of yards run across quarters = (-2) + 14 + (-18) + (-6) = -12
Total number of quarters = 4
⇒
⇒ 
= -3
Hence, he ran -3 yards per quarter
a)
f(x) is the same as y
y=1/3 x +4
<span>to find inverse, swap and x and y:
x=1/3 y + 4
x-4= 1/3 y
(x-4) x 3 = y
3x -12= y
the inverse(g(x)), is: 3x-12
b) </span><span>if f(x) and g(x) are inverses of each other, than </span><span><span> (f<span> о
</span><span>g)(x)</span></span> will end up with just "x"
</span>
<span>(f о
<span>g)(x)=x
</span></span><span>(f о
<span>g)(x)= f(g(x))
</span></span><span>(f о
<span>g)(x)= f(3x-12)
</span></span><span>(f о
<span>g)(x)= 1/3(3x-12)+4
</span></span><span>(f о
<span>g)(x)= (3x-12)/3 +4
</span></span><span>(f о
<span>g)(x)= x-4+4
</span></span><span>(f о
<span>g)(x)= x
</span></span>c)
<span>You will find that the graphs are mirror images of each other </span>
the graph for f(x) is an oblique line that passes through the
points(-12,4)
the graph for g(x) is an oblique line that passes
through the points(4,-12)
Answer:
8
x
10
^0
Step-by-step explanation:
the reason why is because there is no 0 behind the 8 so the exponent could not say a number so it is just 0
Answer:
6.76
Step-by-step explanation:
applying pythogorem theorem
a^2+b^2=c^2
5^2+b^2=13^2
25+b^2=169
b^2=169/25
b^2=6.76^2
b=6.76
The key features of the above given functions are correctly matched to their corresponding definition.
<h3>Definition of terms</h3>
- Negative sections of the graph: They are the parts where the graph is below the x-axis. That is option C.
- End behaviour: This is what happens to the graph on the far left or far right. That is option E.
- Positive sections of the graph: This is the parts where the graph is above the x-axis. That is option D.
- Intercepts: This is the points where the graph crosses an axis. That is option B
- Relative extrema: This is the points of relative minimum or maximum in a graph. That is option A.
Learn more about graphs here:
brainly.com/question/25799000
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