Answer:
C.) 
Step-by-step explanation:
The area formula:
Insert the values:
Use the distributive property:
:Done
Answer:
Let the marked price be x
Discount % = 10%
Discount = 10\% \times x = 0.1x10%×x=0.1x
Cost after discount = x-0.1x = 0.9x
10%vat is charged on it
Cost including VAT = 0.9x+0.1(0.9x)=0.99x0.9x+0.1(0.9x)=0.99x
We are given that it's price became rs 1672
So, 0.99x = 1672
x=\frac{1672}{0.99}x=0.991672
x=1688.88
Discount = 0.1x=0.1(1688.88)=168.888
Hence The discount
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:
The hourly fee for rototiller is $3 per hour.
Step-by-step explanation:
We are given the following in the equation:
The rental company charged an initial fee of $43 with an additional fee per hour.
Let h represents the hourly fee.
The family paid $64 after renting the rototiller for 7 hours.
Thus, we can write the equation:
Solving the equation, we get,
Thus, the hourly fee is $3 per hour.
Equation:
where C(x) is the cost function and x is the number of hours rototiller is rented.
The hourly fee for rototiller is $3 per hour.
Answer:
y=1/2x-1
Step-by-step explanation:
-4y=4-2x
4y=4-2x
y=-1+1/2x
y=1/2x-1
