Answer:
A. P - Q
Step-by-step explanation:
Q(x) = (x³ + 2x² + 3)(x² -2)
= x⁵ - 2x³ + 2x⁴ - 4x² + 3x² - 6
P - Q = (x⁵ - 2x³ + 2x⁴ - 4x² + 3x² - 6) - (x⁴ + 3x³ + 2x² - x + 2)
P - Q = x⁵ - x⁴ + 2x⁴ - 3x³ - 2x³ - 2x² - 4x² + 3x² + x - 2 - 6
P - Q = x⁵ + x⁴ - 5x³ - 3x² + x - 8
Answer:
It is a many-to-one relation
Step-by-step explanation:
Given
See attachment for relation
Required
What type of function is it?
The relation can be represented as:
![\left[\begin{array}{c}x\\ \\-5\\-2\\1\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5C%20%5C%5C-5%5C%5C-2%5C%5C1%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{c}y\\ \\10\\11\\4\\10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dy%5C%5C%20%5C%5C10%5C%5C11%5C%5C4%5C%5C10%5Cend%7Barray%7D%5Cright%5D)
Where
and 
Notice that the range has an occurrence of 10 (twice)
i.e.
and 
In function and relations, when two different values in the domain point to the same value in the range implies that, <em>the relation is many to one.</em>
Answer: x = 9/11
Step-by-step explanation:
First, distribute 9 to x and -1
9x - 9 = 2
Then add 9 to both sides
9x = 11
Then divide both sides by 9
x = 9/11
Hope it helps :)
Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
