Let the leading term of the polynomial, f(x), be axⁿ.
Examine the possibilities.
n a x -> - ∞ x -> +∞
------- ---- ----------- ------------
even a>0 f -> +∞ f -> +∞ Not true
even a<0 f-> - ∞ f-> -∞ True
odd a>0 f-> -∞ f-> +∞ Not true
odd a<0 f-> +∞ f-> -∞ Not true
Answer:
(a) the degree of the polynomial is even, and
(b) the coefficient of the leading term is negative.
There are 11 letters in total.
T & B
T = 1/11
B = 2/11
The total probability is 3/11.
you would use 1.5 packets, but that requires 2 packets.
1 packet in total would feed 8 people, and half of another would feed an extra 4. 4+8 = 12.
One answer (of several) would be 33: It's between 10 and 200 and the sum of its digits is 6. Continue this same pattern to identify other answers.
Answer:
B 10.8 or
A 9.2 depending on what side of the triangle is "x".
Step-by-step explanation:
we cannot see the triangle and which side is which. you forgot to show us the picture (or describe it in more detail).
but I assume that "x" would be the Hypotenuse (the baseline of the right triangle, the side opposite of the 90 degree angle).
then by using Pythagoras
c² = a² + b²
=>
x² = 10² + 4² = 116
x = sqrt(116) = 10.8
but if x is any of the other sides (and not the Hypotenuse), then you need to adapt the calculation.
for example, if the Hypotenuse is the side with 10, then Pythagoras' formula would look like this
10² = x² + 4²
x² = 10² - 4² = 84
x = sqrt(84) = 9.2 (and answer A would be correct).
or if the Hypotenuse is the side with 4, then
4² = x² + 10²
x² = 4² - 10² = -84
x = sqrt(-84)
and that did not make any sense for real distances. so, this configuration is actually impossible for a right triangle.
