Consider the ordering
... -2 < -1
Now consider the ordering of their absolute values:
... 1 < 2
_____
Hopefully, you see that changing the sign reflects the sequence across the origin, so that the ordering is reversed when the signs are changed.
Answer:
Possible rational zeroes are
Step-by-step explanation:
The rational zero theorem states that potential zeroes of a given polynomial function written in descending order are equal to
Answer:
B. For any two real numbers, the first is non-negative, the second is negative, and the difference is positive.
Step-by-step explanation:
To answer this question, I'll analyse the mathematical statements one at a time
The analysis is as follows:
∀x -> This means real number x
∀y -> This means real number y
(x ≥ 0) -> Such that real number x is greater than or equal to 0. In other words, x is positive
∧ -> and
(y < 0)-> y is less than 0. In other words, y is negative
So, there are two real numbers: x and y
→ (x – y > 0) -> Their difference is greater than 0. In other words, their difference is positive
When the analysis above is compared to the list of given options; the option that match is B.
Hence, option B answers the question.
Answer:
x < -9
Step-by-step explanation:
Hi there,
To isolate the variable x, you do the same steps like solving a regular equation.
x + 5 < -4 ← subtract 5 from both sides to make x by itself
x < -9 ← final answer (already in simplest form)
Hope this explanation helps. Cheers.
Answer:
m<C = 119°
Step-by-step explanation:
Create an equation to find the value of x.
(9x - 26)° = (2x - 12)° + (4x + 43)° (exterior angle theorem of a ∆)
Solve for x
9x - 26 = 2x - 12 + 4x + 43
Add like terms
9x - 26 = 6x + 31
9x - 6x = 26 + 31
3x = 57
Divide both sides by 3
x = 19
✔️m<C = 4x + 43
Plug in the value of x
m<C = 4(19) + 43
m<C = 76 + 43
m<C = 119°