It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for
.
In that case, you want to find the antiderivative,
Complete the square in the denominator:
Now substitute
, so that
. Then
which simplifies to
Now, recall that
. But we want the substitution we made to be reversible, so that
which implies that
. (This is the range of the inverse sine function.)
Under these conditions, we have
, which lets us reduce
. Finally,
and back-substituting to get this in terms of
yields
Answer:
<em>Pizza eaten together: 5/6,</em>
<em>Pizza left over: 1/6</em>
Step-by-step explanation:
~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~
1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra
2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.
3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = <em>Pizza eaten together: 5/6</em>
4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the <em>Partition Postulate. </em>In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).
5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = <em>Pizza left over: 1/6</em>
Answer: 75
Step-by-step explanation:
Answer:
4 . The answer is no .
5 . x=1
6. unlimited answers
7. There's no answer to this question .
Step-by-step explanation:
___________________
4. solution :
-20(2-4) = 2((5×-4) -4) =
-40 = -48 × impossible
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5. solution :
-3+4x+12x+24 = 28x +12-3
-3+24-12+3=28x-12x-4x
27-15=12 = 2x - 16x =12x
12 = 12x
x =1
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6. solution :
24-3x+9-6 = -8x+20+5x+7
8x-5x-3x = -24-9+6+20+7
0=0
x can be every number you think because they are always equal to each other .
examination :
if you consider x as 1 :
24-3+9-6=-8+20+5+7
24=24
or if you consider x as 2 :
24-6+9-6 = -16+20+10+7
21 = 21
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7 . solution :
3(x-2) = 3x+4
3x-6 = 3x+4
3x-3x = 10
0 = 10
if you consider x as 1 :
3-6 = 3+4
-3 = 7 × impossible .
The answer for this question would be true
