You do the ones in parentheses first
Answer:
f(x) = x^4/12 + 8x + 4
Step-by-step explanation:
f"(x) = x^2
Integrate both sides with respect to x
f'(x) = ∫ x^2 dx
= (x^2+1)/2+1
= (x^3)/3 + C
f(0) = 8
Put X = 0
f'(0) = 0+ C
8 = 0 + C
C= 8
f'(x) = x^3/3 + 8
Integrate f(x) again with respect to x
f(x) = ∫ (x^3 / 3 ) +8 dx
= ∫ x^3 / 3 dx + ∫8dx
= x^(3+1) / 3(3+1) + 8x + D
= x^4/12 + 8x + D
f(0) = 4
Put X = 0
f(0) = 0 + 0 + D
4 = D
Therefore
f(x) = x^4 /12 + 8x + 4
Answer:
1/4 2/5 2/1
Step-by-step explanation:
repcpical means you flip them upside down
Answer:
look below
Step-by-step explanation:
x - 5 = 7
x = 12
.................
x - 8 = 20
x = 28
.................
x + 2 = -1
x = -3
................
x - 9 = 12
x = 21
...............
x + -6 = -7
x = -1
.................
x - 8 = -3
x = 5
..................
-7 - x = -9
-7 = x - 9
2 = x
Answer: Choice B

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Explanation:
We'll be using the converse of the pythagorean theorem.
If we had a triangle with sides a,b,c and
was true, then we have a right triangle. Note: c is always the longest side
For the first answer choice we have: a = 5, b = 8, c = 12
Then,

which is false. This shows that we do not have a right triangle with sides 5,8,12. This rules out choice A. Choice C is a similar story.
Choice B on the other hand works because

We have a true statement at the end, which confirms <u>choice B</u> is a right triangle.