Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
Answer:
70.45%
Step-by-step explanation:
The markup is $75 -44 = $31. As a percentage of the wholesale price, that is ...
$31/$44 × 100% ≈ 70.45%
Answer:
x^4- x^3- 4x^2-3
Step-by-step explanation:
Given
f(x)= x^4- x^2+9
And
g(x)= x^(3 )+ 3x^2+12
We have to find
(f-g)(x)= ?
The operations on functions are as easy as the operations on numbers or polynomials.
We have to subtract the functions to find the above mentioned operation.
=(f-g)(x)=f(x)-g(x)
(f-g)(x)=[x^4- x^2+9]-[x^(3 )+ 3x^2+12]
The minus will change the signs of function g.
= x^4- x^2+9- x^(3 )- 3x^2-12
= x^4- x^3- x^2- 3x^2+9-12
=x^4- x^3- 4x^2-3
Answer:
96
Step-by-step explanation:
3*6=18*2=36
6*10=60*2=120
10*3=30*2=60
36+60+120=
216
The answer to this is is 1.37. You add all of them and divide by 3.
