Answer:
first option
Step-by-step explanation:
Given
f(x) =
← factorise the numerator
=
← cancel (x + 4) on numerator/ denominator
= 2x - 3
Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is
x = - 4
Substitute x = - 4 into the simplified f(x) for y- coordinate
f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11
The discontinuity occurs at (- 4, - 11 )
To obtain the zero let f(x) = 0, that is
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 
There is a zero at (
, 0 )
Thus
discontinuity at (- 4, - 11 ), zero at (
, 0 )
Answer:
1/7
Step-by-step explanation:
Plug in 2 for m, and 14 for n in the expression:
m/n = 2/14
Simplify. Factor out common factors from both the numerator and denominator:
(2/14)/(2/2) = 1/7
1/7 is your answer.
~
Answer:
Proportion of games an NFL team wins.
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
Step-by-step explanation:
Proportion is a relationship between measures.
Examples in real life are:
Proportion of games an NFL team wins.
For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.
Other possible examples are:
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
...
The refrection of a point or set of points across the line y = x will result in a point or set of points whose coordinates are the interchange of the x-value and the y-value of the original point or set of points.
Given that the vertices of a triangle are P(-8, 6), Q(1, -3) and R(-6, -3), the vertices of the triangle formed by the refrection Ry=x<span>(ΔPQR) are P'(6, -8), Q'(-3, 1) and R'(-3, -6).</span>
Answer: x+3x+X+24=94
5x+24=94
-24. -24
5x=70
X=14
One side is 14 second side 3(14)=42. Third side 14+24= 38
14+42+38=94
Step-by-step explanation: