Answer:
Addition-
(9x+27)
Subraction-
(x-63)
Multiplication-
(20x-810)
Division-
(1.25x-0.4)
Step-by-step explanation:
The correct answer is "<span>Step 2; 6x − 8 = 12 + 2x."
</span>
The step that the student first make an error is at the 2nd step. The correct step should be 6x − 8 = 12 + 2x.
Finishing the steps:
<span>Step 1: 2(3x − 4) = 8 + 2x + 4
</span>Step 2: <span>6x − 8 = 12 + 2x.
Step 3: 4x = 20
Step 4: x = 5</span>
Answer: Roughly 8.267*10^6 cubic centimeters
The more accurate answer is 8.266914648*10^6 cubic centimeters
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Work Shown:
I rounded to three decimal places because the 2.022 is to three decimal places. Round however you need. Or you can choose to leave the number unrounded.
The number 8.267*10^6 is 8,267,000 which is a little over 8.2 million.
The units for the volume are in cubic centimeters, which we can abbreviate as cm^3 or
Note that the value is in the form where , which means this number is in scientific notation form.
The answer to your problem is 3 and -6
A function will have an absolute maximum when the velocity, dy/dx, is equal to zero and the acceleration, d2y/dx2, is less than zero. It will have a y-intercept of 4 if f(x)=4 when x=0.
In this case only f(x)=-x^2+2x+4 is equal to 4 when x=0. So we know that this is the correct answer. However taking the two derivatives proves that the function has an absolute maximum..
df/dx=-2x+2 and d2f/dx2=-2
Since acceleration is a constant negative two, we know that when velocity is equal to zero, it will be at an absolute maximum for f(x) at that point.
-2x+2=0
2x=2
x=1
So velocity equals zero when x=1, thus the absolute maximum of the quadratic, the vertex in this context, is f(1).
f(1)=-1+2+4=5
So the absolute maximum is at the point (1,5)