Answer:
Jace is correct they can use their loaves of bread to show 1/2 is less than 1/3. Because they have 2 loaves of bread
To organize the expressions according to the number of terms, you should understand what a term is. A term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs. It is organized as follows:
2x2y + x2 - 3x + 4
3x + y + z
x + 2xyz
9x2yz
Here's the way I see it: 5 cards are drawn, one by one, without replacement. Half (or 26) of the original deck are black and half (26) are white.
P(5 are not black) = P(5 are red)
P(5 are not black) = P(first card is red) * P(second card is red) * P(third card is red)*P(fourth card is red)*P(fifth card is red) =
(26/52) * (25/51) * (24/50) * (23/49) * (22/48) = 0.025 (answer)
We start with 52 cards. We draw one, leaving 51 cards, 25 of which are red. And so on.
Step-by-step explanation:
f(x) = x / (x - 7) = 1 + 7 / (x - 7).
The domain of f(x) depends whether the denominator of the rational expression is non-zero.
When (x - 7) = 0, x = 7.
Hence domain of f(x)
= All real values of x excluding 7. (C)
Answer:
By the triangle side length theorem, the sum of the two shorter sides has to be equal to or larger than the third side. Thus, we can write the following inequation.
a
+
b
≥
c
, where a and b are the shorter sides and c the longest.
11, 9 and 15 satisfies this inequality while 11, 9 and 20 doesn't.
Justification:
The reason for this rule is simple; it's because if the longest side is longer than the sum of the two shorter sides, this means that the shorter sides aren't long enough to connect with the longest side, thus rendering the shape a collection of lines and disqualifying the possibility of having a triangle, which was our objective.
Practice exercises:
Which of the following triangles is possible?
a) 4,6 and 14
b) 5,11 and 16
c) 1,3,6
D). 12,19 and 26
Find the smallest possible value of a to make the following an actual triangle :
a
,
14
,
25
Hopefully this helps:
Step-by-step explanation:
