F(x)=x^2/(x-2)(x-1), the degree of the numerator and the degree of the denominator equal and the quotient of their coefficient equal to 1(horizontal asymptote means that the lines approach a certain number when the input approaches positive or negative infinity)
and when plugging in 2 or 1 as input, the output is undefined.
Domain is: -∞, ∞
Range is: 16, -∞
Answer:
$555.51
Step-by-step explanation:
511.99 + 8.5%(43.52) = 555.51
Answer:
1/2
Step-by-step explanation:
Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors.
This is calculated as:
1/2 × 5/6
= 5/12
Hence, he took 5/12 of the sand
How much of the original sand which did pete take to his neighbors.
Let the original sand be represented as 1
Hence:
5/6 = 5/12 sand
1 = x
Cross Multiply
5/6x = 1 × 5/12
x = 5/12 ÷ 5/6
x = 5/12 × 6/5
x = 1/2
Therefore, pete took 1/2 of the original sand to his neighbors.
Answer: Each blueberry pie costs $14 and each blackberry pie costs $18.
Step-by-step explanation:
If X is the price of a blueberry pie and Y is the price of a blackberry pie we have that:
3*X + 12*Y = $258
4*X + 3*Y = $110
We have a system of equations, to solve it first we can isolate one of the variables in one of the equations, let's isolate X in the first equation.
3*X = $258 - 12*Y
X = $258/3 - (12*Y)/3 = 86 - 4*Y
now we can replace it in the second equation and get:
4*(86 - 4*Y) + 3*Y = 110
344 - 16Y + 3Y = 110
344 - 13Y = 110
13Y = 344 - 110 = 234
Y = 234/13 = 18
So each blackberry pie costs $18.
And we can replace it in the equation for X and get the value of X.
X = 86 - 4*Y = 86 - 4*18 = 14
So the price of a blueberry pie is $14.
