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).
Hello there! :)
<u><em>Answer:
</em></u>
<u><em>*The answer must have a fraction.*</em></u>
Step-by-step explanation:
Lesson: Zero and Negative Exponents.
Distributive property: a(b+c)=ab+ac
First, you apply exponent rule.
Final answer:
Hope this helps!
Thanks!
-Charlie
Have a great day!
:)
:D
Answer:
90
Step-by-step explanation:
180°-104°=76°( sum of angles A and B)
76°÷2=38°
x=38°
Bcuz it is an isosceles triangle ( a triangle with 2 equal sides). So, angle B and A are equal. thats why 76° must be divided by 2.
180°-104°=76°(angles on a straight line)
180°-76°=104° (sum of angle A and C)
104°÷2=52°
y=52°
it is also an isosceles triangle.
x+y=38+52=90°
The Volume of the sphere is 267.946 repeating, the rounded answer though, is ≈<span>268
The formula I use is 4(3.14)(r^3)/3, I think it's easier, but that's just me. Hope this helps! ٩(ര̀ᴗര́)
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The expression that are a factor are A E and G
