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
I=PRT
P=8000
R=0.015
T=3
I=8000*0.015*3=360
total amount=8000+360=$8360
From the given equation
105% * 90 = 200% * x
105/100 * 90 = 200/100 * x
105*90 = 200*x
x = 105*90/200
X = 21*9/4
X = 189/4
x = 47.25
Value of x = 47.25 or 47 1/4
Jackson sold 27 pounds of bananas and 12 pounds of grapes.
Given that Jackson runs a farm stand that sells bananas and grapes, and each pound of bananas sells for $ 1 and each pound of grapes sells for $ 2.25, and Jackson sold 15 more pounds of bananas than pounds of grapes and made $ 54 altogether, to determine the number of pounds of bananas sold and the number of pounds of grapes sold the following calculation must be performed:
- 25 x 1 + 10 x 2.25 = 25 + 22.50 = 47.50
- 26 x 1 + 11 x 2.25 = 26 + 24.75 = 50.75
- 27 x 1 + 12 x 2.25 = 27 + 27 = 54
Therefore, Jackson sold 27 pounds of bananas and 12 pounds of grapes.
Learn more about quantities in brainly.com/question/25823155
Answer:
6/12
10/20
5/10
1/2
Step-by-step explanation:
=)
