Answer:
Option 3 :
x → 7+, y → –[infinity]
Step-by-step explanation:
f(x) = (-2x² + 14)/(x² - 49)
x² - 49 = (x + 7)(x - 7)
Hence f(x) goes to infinity at x = - 7 or 7
x < - 7 = (-ve)(-ve) = + ve
=> x → –7–
Here, x² - 49 is + ve
-7 < x < 7 = (+ve)(-ve) = - ve
=> x → –7+ or x → 7– .
here, x² - 49 is - ve
x > 7 = (+ve)(+ve) = + ve
=> x → 7+
Here, x² - 49 is + ve
So (-2x² + 14) is - ve for all [ x → –7– , x → –7+ , x → 7– , x → 7+ ]
As,
-2(-7)² + 14 = -84 and -2(+7)² + 14 = -84
x → –7– = (-ve)/(+ve)
=> y → -[infinity].
x → –7+ or x → 7– = (-ve)/(-ve)
=> y → [infinity]
x → 7+ = (-ve)/(+ve)
=> y → -[infinity].
x → 7+, y → –[infinity]. is the correct option
ratio is 5:4
5+4 =9
54 pounds divided by 9 = 6
6*5 = 30
6*4 = 24
Sam gets 30 pounds Bethan gets 24 pounds
Answer:
x intercept is (4,0)
The y intercept is (0,12).
Step-by-step explanation:
Graph the x intercept (4,0) and the y intercept (0,12) and connect them with a line.
_______________________________________________________
(Equation) 3x + y = 12
To find the x intercept, set y = 0.
3x + 0 = 12
3 • 3 = 123
x = 4
The x intercept is (4,0).
To find the y intercept, set x = 0.
3(0) + y = 12
0 + y = 12
y = 12
The y intercept is (0,12).
To graph this line using the intercepts, first graph the two points (4,0) and (0,12). Then connect the two points with a line.
First you set up a proportion:
7% = 7 / 100
7 x
----- = --------
100 45.50
then cross multiply:
100x = 7 ( 45.50 )
multiply:
100x = 318.5
then divide:
100x 318.5
------- = -------
100 100
x = 3.185
then add x to original price:
45.50 + 3.185 = 48.685
round to hundredths:
48.69 is your answer