Answer:
Option (D)
Step-by-step explanation:
The given graph represents a rational function having,
1). Vertical asymptote → x = 2
2). Horizontal asymptote → y = 0
Parent function representing the rational function will be in the form of,
F(x) = 
Since, vertical asymptote of the function is x = 2, denominator of the function will be in the form of (x - 2)².
Since, horizontal asymptote of the function is y = 0, highest exponent term in the numerator will be 0.
Therefore, numerator of the fraction will be x⁰.
The rational function given in the graph will be,
F(x) = 
F(x) = 
Option (D) will be the answer.
To factor out you have to think what multiples to AC and adds to B.
Ax^2+Bx+C
So... for this problem AxC=1x-24 or -24
B is -2.
So what two numbers multiply to -24: -3x8, -8x3, -4x6, -6x4, -2x12, -12x2.
Out of these, which adds to -2: -6+4=-2.
So the factors are (d-6)(d+4)
OR the longer way, which you really only use if A is not equal to 1.
Use the terms above and then rewrite the equation with two middle terms: d^2+4d-6d-24
Group the terms by using addition: (d^2+4d)+(6d-24)
Find what they have in common and factor it out. For the first, it's d. They both have d. So: d(d+4)
To check this, distribute the d. It should equal the first set lf parenthesis.
For the second, they have a number in common. 6 is a multiple of 24 so you can take that out: -6(d+4)
If the terms inside the parenthesis are the same, that's good. It means we can pair the insides and the outsides together to form the factors.
The two terms outside the parenthesis: d, -6 group together and become (d-6)
The inside terms stay the same: (d+4)
(d-6)(d+4)
Again, this is the longer way and no necessary for a problem like this. But if it was 2d^2, then this would be perfecf.
Answer:
5
Step-by-step explanation:
you find the mean of the numbers and use the mean and subtract the mean from all of the numbers.
Sorry I am bad at explaining
Answer:
C = 132°
Step-by-step explanation:
(5y + 28) = 12y
5y - 5y + 28 = 12y - 5y
28 = 7y
y = 4
12 (4)
= 48
48 + C = 180°
48 - 48 + C = 180 - 48
C = 132°
<u>Answer</u>
c. 62/95
<u>Explanation</u>
Probability is the chance of an event happening.
Probability = (favorable outcome)/(total outcome)
P(girl) = 12/20 × 11/19
= (12×11)/(20×19)
= 132/380
= 33/95
P( not a girl) = 1 - 33/95
= 62/95
