Answer:
It is not a subspace.
Step-by-step explanation:
So, the polynomial degree of at most 3 is given below as;
V = { p (z) = b0 + b1z + b2z^ + ... + bnz^n. |n is less than or equal to 3 and b0, b1, b2,... are integers.
To determine whether a subset is a subspace of Pn, we have to check for the properties below;
(1). Zero vector property : that is, when polynomial, p(z) = 0 and 0 is an integer.
(2). Addition property= here, we have; p(z) + h(z) = (b0 + b1z + b2z^2 +....+ bnz^n) + ( c0 + c1z + c^2z^2 +... + cnz^n). That is the sum of integers.
(3). Scaler multiplication property: the coefficient here may not be real numbers therefore, the condition is not followed here.
Therefore, it is not a subspace of Pn.
Answer:
13/10
Step-by-step explanation:
5* 1/2 + 2* 4/5
5/10 + 8/10 = 13/10
it's C Alan because the 7s were the times he ride the roller-coaster 7s are close to 8s.
Answer:
The initial weight of the candle is 8 oz.
D.the candle's initial weight
Step-by-step explanation:
- the weight is 8 oz when time is 0, initial = 0 s
- the initial value represents the candles initial weight before burning it.
To find rate of change:
take two points: (0,8),(5,7)
rate:
is the rate of change.
The equation is provided below:
We have to get the discounted price before we could add the tax price of 7% for us to know the amount that Jennifer spent to buy the camera.
$379 * 15% = $56.85 (amount to be deducted from the original price to get the discounted price)
$379 - $56.85 = $322.15 (discounted price)
Get the 7% of the discounted price and add it.
$322.15 * 7% = $22.55
$322.15 + $22.55 = $344.70
The correct answer for the amount Jennifer has spent on the camera is $344.70.