In order for the whole expression to be negative, either (x⁵)
or (y⁴) or (z²) must be negative.
But an even-numbered power can't be negative ... even if the base
is a negative number, any even-numbered power of it is positive.
So (y⁴) and (z²) are always positive. The expression can be
negative if 'x' is negative, because (x⁵) will then be negative.
None of the proposed requirements is appropriate, so the
final answer is E. None .
We need to multiply 3x-5y+2z by itself.
I break it down by each term. We'll first do 3x. It is positive.
3x(3x-5y+2z)
3x×3x=9x²
3x×-5y=-15xy
3x×2z=6xz
9x²-15xy+6xz
Now -5y.
-5y(3x-5y+2z)
-5y×3x=-15xy
-5y×-5y=25y²
-5y×2z=-10yz
25y²-15xy-10yz
Now 2z.
2z(3x-5y+2z)
2z×3x=6xz
2z×-5y=-10yz
2z×2z=4z²
4z²+6xz-10yz
Now we need to add all of them together.
(9x²-15xy+6xz)+(25y²-15xy-10yz)+(4z²+6xz-10yz)
We need to add like terms.
9x²+12xz+25y²-20yz+4z²-30xy
Now order them by degrees.
25y²+9x²+4z²+12xz-20yz-30xy is the cost.
Answer:
$14.10
Step-by-step explanation:
To have 30 bulbs, Maura can buy 10 packages of 3 at $5.37 each, for a total of $53.70. Or, she can buy 15 packages of 2 at $4.52 each, for a total of $67.80.
Buying in packages of 3, Maura saves $67.80 -53.70 = $14.10.
Answer:
This relation is not a function since two inputs i.e. -3 and 10 gives the same output i.e. 6.
Step-by-step explanation:
The domain is first number in the ordered pair.
Domain: {-2, -3, 4, 10}
Best Regards!
Answer:
-3t-45
Step-by-step explanation:
(18+t)(-3)+9
18x-3-3t+9
-54-3t+9
-3t-54+9
-3t-45