B and C; as the y intercept increases/decreases, the graph of the line shifts up/down.
The y intercept is where the function crosses the y-axis. If the y intercept moves either up or down, the whole function will be translated up/down vertically along the y-axis.
17) f(x) = 16/(13-x).
In order to find domain, we need to set denominator expression equal to 0 and solve for x.
And that would be excluded value of domain.
13-x =0
Adding x on both sides, we get
13-x +x = x.
13=x.
Therefore, domain is All real numbers except 13.
18).f(x) = (x-4)(x+9)/(x^2-1).
In order to find the vertical asymptote, set denominator equal to 0 and solve for x.
x^2 -1 = 0
x^2 -1^2 = 0.
Factoring out
(x-1)(x+1) =0.
x-1=0 and x+1 =0.
x=1 and x=-1.
Therefore, Vertical asymptote would be
x=1 and x=-1
19) f(x) = (7x^2-3x-9)/(2x^2-4x+5)
We have degrees of numberator and denominator are same.
Therefore, Horizontal asymptote is the fraction of leading coefficents.
That is 7/2.
20) f(x)=(x^2+3x-2)/(x-2).
The degree of numerator is 2 and degree of denominator is 1.
2>1.
Degree of numerator > degree of denominator .
Therefore, there would no any Horizontal asymptote.
Answer:
Step-by-step explanation:Please mark me as the brainlyest
Answer:
Inequaliy: 2x-3(12)>60
X>48
Step-by-step explanation:
Since area of a rectangle is W(L)=A
The inequality given right here including length And width and area Plugged in would be
2x-3(12)>60. (It’s >60 because the area stated in the problem said to be greater then 60 so we put a Greater then sign)
Combine like terms and solve
2x-36>60
Add 36 on both sides
2x>96
Divide 2 on both sides to isolate variable
x>48
Check:
2(50)-36>60 ( I used 50 because it’s greater then 48 and it’s a easy number to work with for just a check)
solve:
100-36>60
64>60✔️
One way of determining the answer is by substituting the values to the equation. It is done as follows:
A. (4,1)
<span>y = 3x - 1
</span>1 = 3(4) - 1 = 11 -------> not equal
B. (2,5)
<span>y = 3x - 1
</span>5 = 3(2) - 1 = 5 --------> equal
C. (4,3)
<span>y = 3x - 1
</span>3 = 3(4) -1 --------------> not equal
D. (0, -3)
<span>y = 3x - 1
-3 = 3(0) -1 = -1 ---------> not equal</span>
