Answer: (-∞, 2)∪(2, 3]∪(4, ∞)
Step-by-step explanation:
Domain is the allowed x values in the function. The numerator, x + 1 will be defined for all numbers. But that fraction wont be, the minute that fractions denominator is equal to zero, your entire function becomes undefined.
So lets figure out what number will make this undefined. Then we'll know the functions domain is everywhere but that x value.
Make x^2 - 6x + 8 = 0
What two numbers multiply to equal +8 but add to equal -6? Thats -4 and -2.
(x - 4)(x - 2) = 0 This means the function is undefined when x equals 4 and 2
(-∞, 2)∪(2, 3]∪(4, ∞)
1 cm : 50 km
Multiply both sides by 7.3*
7.3 cm : 365 km
*you can do this according to the multiplication property of equality
Answer:
see explanation
Step-by-step explanation:
A translation of 4 units down means subtract 4 from the y- coordinate of the original point and a translation of 3 units left means subtract 3 from the original x- coordinate, thus translation rule is
(x, y ) → (x - 3, y - 4 )
Thus
C(8, 3 ) → C'(8 - 3, 3 - 4 ) → C'(5, - 1 )
If it's width is 10cm then it's legth has to be 40cm. So 10+10+40+40=100cm Perimeter
<u>Answer:</u>
(4.75, 4)
<u>Step-by-step explanation:</u>
We are to find the coordinates of the point that partitions the directed line segment AB in 1:3 ration.
For this, we will use the following formula:
,
where is the ratio of the first segment to the whole line segment so in this case, it will .
So substituting the given values in the above formula to find the coordinates:
Therefore, the coordinates of the point that partitions the directed line segment AB in a 1:3 ratio are (4.75, 4).