Step-by-step explanation:
as I don't see any equations or graphs here I can only answer in general :
f(x) is the patent function.
g(x) is the transformed function.
g(x) = -6f(x-7)
the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).
the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).
and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.
8 ( 4 - x ) = 7x + 2
32 - 8x = 7x + 2
-7x -7x
--------------------------
32 - 15x = 2
-32 -32
----------------------------
-15x = -30
/-15 /-15
x = 2.
Answer:
It's the first option.
Step-by-step explanation:
It is turned down so the one half is negative (-1/2)
parabola will be in the form of a(x-h)^2 + k. (-h, k) is your vertex, in this case that is (15,25). so in the equation, you will have
-1/2(x-15)^2 + 25. first one.
Hope this helps!
So in slope intercept form or y=mx+b or in your case c=mx+b where b=15, x=number of movies and b=2 dollars per cd then
C=2x+15 so
the C intercept is when x=0 so
set x to 0 and get
2(0)+15=C
0+15=C
C=15
Cintercept=15
slope=m so slope=2
C intercetp=15
so if borrow certain number of movies just plug in the values for x so
1
2(1)+15=2+15=17
2
2(2)+15=4+15=19
and so on
To find the area of the shaded part we have to subtract the rectangle area from the triangle area :
And we're done
Have a great day ♡
