The vertical asymptote requires a factor of (x-4) in the denominator.
The double zero requires a factor of (x-1)² in the numerator.
At x=0, these factors will give a value of (-1)²/(-4) = -1/4, so another constant factor of -12 is needed to make the y-intercept be 3.
Your rational function is ...
... y = -12(x -1)²/(x -4)
Answer:
x=77
y=58
z= 122
Step-by-step explanation:
Answer:
<u>Answer</u><u>:</u><u> </u><u>4</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>0</u><u> </u>
Step-by-step explanation:
• General quadratic equation:

• sum of roots → 4 + 5 = 9
• product of roots → 4 × 5 = 20
• substitute:

13.89%
The value of the first die can be any number except for 1 because even if the second die rolls a 6, the total will only be 7. This means that there is a 5/6 chance of rolling an appropriate number with the first die. The second die has a 1/6 chance of rolling any given number. Any given number can be added to only one of the five numbers from the previous die to equal an 8. As a result, both numbers must be multiplied.
5/6 x 1/6 = 5/36 or 13.89%
Answer:
Step-by-step explanation:
Solution
When, x=2
f(2)=3×2+8
=14
Again,
When, x=1
f(1)=3×1+8
=11
When, x=0
f(0)=3×0+8
=8
When, x=-1
f(-1)= 3×(-1)+8
=5
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