2.9*10^10+ 5.35*10^10
= (2.9+ 5.35)*10^10 (distributive property)
= 8.25*10^10
The correct answer is A. <span>8.25 times 10^10~</span>
Answer:
(x + 1 + )(x + 1 - )
Step-by-step explanation:
There are no integer values with product - 6 and sum + 2
Calculate the zeros then obtain the factors , that is
if x = a is a zero then (x - a) is a factor
Given
x² + 2x - 6 ( equate to zero )
x² + 2x - 6 = 0 ( add 6 to both sides )
x² + 2x = 6
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(1)x + 1 = 6 + 1
(x + 1)² = 7 ( take the square root of both sides )
x + 1 = ± ( subtract 1 from both sides )
x = - 1 ±
zeros are x = - 1 - and x = - 1 +
Then factors are
(x - (- 1 - ) ) , (x - (- 1 + ) ), that is
(x + 1 + ) and (x + 1 - )
Thus
x² + 2x - 6 = (x + 1 + )(x + 1 - ) ← in factored form
We know that 80a + 70w ≤ 7500 because Ms. Robinson cant spend more than 7500, so the answer must be A or D.
We also know that a + w ≥ 100 because Ms. Robinson must buy at least 100 chairs.
This leaves our answer to be A
total ? of tickets = y of kids + x of adults or 170 = k +a
The money altogether = how much a kid's ticket costs y of kid's tickets + how much an adults ticket costs x of adults tickets
Or: $1172.00 = $5.20 + $8.40a
REWRITE:
170= k + a
a =170 - k
Add the first equation in the second equation.
1172 = 5.2k + 8.4 (170 - k)
1172 = 5.2k + 1428 - 8.4k
-256 = -3.2k
k= 80 tickets
Hope this helps!-Aparri
Answer:
(a)
Conservative
(b)
Not conservative
(c)
Conservative.
Step-by-step explanation:
(a)
Notice that
and
Therefore the field is conservative.
(b)
Notice that
and
but
Therefore is not conservative.
(c)
Notice that
To prove that the vector field is conservative you have to compute the curl of the vector field and you would get that.
Therefore your vector field is conservative.