Answer:
see explanation
Step-by-step explanation:
Sum the 3 consecutive integers and equate to 36
x + x + 2 + x + 4 = 36
3x + 6 = 36 ( subtract 6 from both sides )
3x = 30 ( divide both sides by 3 )
x = 10
The 3 consecutive integers are
10, 10 + 2, 10 + 4, that is
10, 12, 14
Answer:
![h(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=h%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)
Step-by-step explanation:
we have
![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
The inflection point of f(x) is the point 
The inflection point of h(x) is the point 
-----> see the given graph
so
the rule of the translation of f(x) to h(x) is
That means------> The translation is 
units to the left
therefore
The equation of h(x) is equal to
X time 0.8 (or 80 percent)= 15
so 15/0.8=X
18.75
Looking at the slope of the "best-fit" line, you can see that for every two hours of homework, 15 more points are scored. (compare t=0 to t=2).
For t=5, the line seems to go through 47.5. So for t=7, which is two hours more, you'd expect a score of 47.5+15 = 62.5.
That answer is in the list, so I'd choose that.
In reality, you would never be able to have any score you like just by putting more hours in, so this can never be a straight line forever...
