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
Answer:
Hmm since it says explain how, you can simply say , Determining the volume of the block would result in me using the method , " length x width x height. " or to add on to it you can also say, By using this method I would multiply the grams and mL together to get the volume. (Im not sure if this helps or not let me know!!)
Step-by-step explanation:
Basically volume = l x w x h , so I just put it in a sentence.
Richard and Teo are 7 and 24.
7 times two is 14
24 is ten more than 14
31-7 is 24
The new crew works at the rate 1/12 apt/hr.
The old crew works at the rate 1/6 apt/hr.
Let x = hours required to paint the apartment when the two crews work together.
That is,
(1/12 + 1/6 apt/hr)*(x hr) = (1 apt)
(3/12)x = 1
(1/4)x = 1
x = 4 hours
Answer: 4 hours