Answer:
D. The graph of G(x) is the graph of F(x) flipped over the y-axis and
stretched vertically.
Step-by-step explanation:
since there is a negative, there must be a reflection. the reflection is over the y-axis because it is outside the x-value (-F(x) not F(-x))
the same goes for the vertical stretch. we know it is a vertical stretch because the 3 is outside the x-value (3F(x) not F(3x))
I think the answer is 156, I got this by multiplying 12 times 13.
Answer:
Parallel: y=-4x-1
Perpendicular: y=-4x+13/2
Step-by-step explanation:
For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:
- If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-7)=-4(x--2)
y-7=-4x-8
y=-4x-1
- If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.
(y-7)=1/4(x--2)
y-7=1/4x-1/2
y=-4x+13/2
Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
Solve for n by simplifying both sides of the equation, then isolating the variables.
n=54
Hope I helped