Answer:
y = 8x - 64
Step-by-step explanation:
Start with y = mx + b, the slope-intercept equation. Replace m with 8, x with 7 and y with -8:
-8 = 8(7) + b, or
-8 - 56 + b, or
b = -64
Then the desired equation is
y = 8x - 64
The formula is f(x) = a x ^ 3 + b x ^ 2 + c x + d
f '(x) = 3ax^2 + 2bx + c.
f(- 3) = 3 ==> - 27a + 9b - 3c + d = 3
f '(- 3) = 0 (being a most extreme) ==> 27a - 6b + c = 0.
f(1) = 0 ==> a + b + c + d = 0
f '(1) = 0 (being a base) ==> 3a + 2b + c = 0.
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Along these lines, we have the four conditions
- 27a + 9b - 3c + d = 3
a + b + c + d = 0
27a - 6b + c = 0
3a + 2b + c = 0
Subtracting the last two conditions yields 24a - 8b = 0 ==> b = 3a.
Along these lines, the last condition yields 3a + 6a + c = 0 ==> c = - 9a.
Consequently, we have from the initial two conditions:
- 27a + 9(3a) - 3(- 9a) + d = 3 ==> 27a + d = 3
a + 3a - 9a + d = 0 ==> d = 5a.
Along these lines, a = 3/32 and d = 15/32.
==> b = 9/32 and c = - 27/32.
That is, f(x) = (1/32)(3x^3 + 9x^2 - 27x + 15).
Answer:
v= 3
Step-by-step explanation:
-19 + v = -8 ( v - 1 )
multiply -8(v - 1)= -8v + 8
-8v + 8v and then add the v with the +8v
Subtract -19 +19 and add the +19 with the +8= 27
27 divided by 9= 3
Hey there :)
Assuming you are asking how to find the area of parallelogram ABCD:
We know the area formula of a parallelogram:
Area = base x height
Then apply the formula to the given.
