Answer:
asymptotes: x= -4,-2 and no holes
Step-by-step explanation:
First we need to factor the denominator of the function
y = (x-1) / (x2 + 6x + 8)
x2 + 6x + 8 = 0
delta = b2 - 4ac = 36 - 32 = 4
x1 = (-6 + 2) / 2 = -2
x2 = (-6 - 2) / 2 = -4
So we have that x2 + 6x + 8 = (x+4)(x+2)
So our function is:
y = (x-1) / (x+4)(x+2)
As there is no common expressions in the numerator and denominator, there are no holes.
The asymptotes are when the denominator is zero, so:
(x+4)(x+2) = 0
x = -4 or x = -2
This is a linear relationship as the rate of change is constant, ie constant velocity. And the slope represents the velocity, and slope is:
m=(y2-y1)/(x2-x1)
m=(50-25)/(2-1)=25/1
m=25
So the rate of change is 25 mph
An hour and 15 minutes. Since Joe is driving 20 miles per 1/2 hour that means he is driving 40 miles every hour. We still have 10 miles left and since 20 divided by 2 is ten you would simply cut the time it takes him to drive 20 miles in half making 15 minutes. Then you add the time it takes to drive 40 miles and 10 miles and that's how you get an hour and 15 minutes. Hope this made sense!
Answer:
-77, -78, -79
Step-by-step explanation:
let one of the integers be x
since the integers are consecutive, the other 2 integers must be
(x+1) and (x+2)
given that sum of the integers is -234,
x + (x+1) + (x+2) = -234
x + x + 1 + x + 2 = -234
3x + 3 = -234 (subtract 3 from both sides)
3x = -234-3
3x = -237 (divide both sides by 3)
x = -237 / 3
x = -79 (answer)
hence the other two numbers are
(x + 1) = -79 + 1 = -78 (answer)
and
(x+2) = -79 + 2 = -77 (answer)
Answer:
p = 35
Step-by-step explanation:
( 2p + 5 ) + ( 3p ) = 180
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2p+5+3p=180
Combine 2p and 3p to get 5p.
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5p+5=180
Subtract 5 from both sides.
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5p=180−5
Subtract 5 from 180 to get 175.
-
5p=175
Divide both sides by 5.
p = 175\5
Divide 175 by 5 to get 35.
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p = 35
