A merchant bought 125kg of potatoes at rs 25 per kg. if 5 kg of potatoes were bad, at which price per kg must he sell the good p
1 answer:
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Answer:
Step-by-step explanation:
A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.
General form of horizontal parabola is
the distance between directrix and focus is the value of p
so p = 8.5 - 9.5 = -0.5
Focus is (h+p , k), given focus is (8.5, -4)
So k = -4 and h+p = 8.5
we know p = -0.5
h +p = 8.5
h - 0.5 = 8.5
so h= 9 and k = -4
vertex is (h,k) that is (9, -4)
Now plug in the value in the general equation
, k= -4, h= 9 , p = -0.5
subtract 18 on both sides
Divide whole equation by -2
Answer:
They will each have saved $70.
Jessica is saving at a faster rate than Raphael.
The rate at which Jessica is adding to her savings is $4 per week more than the rate at which Raphael is adding to his savings.
Step-by-step explanation:
The formula for Jessica’s savings is
y = 10x + 20
She is saving at the rate of $10/wk .
From Raphael’s table, he started with $40 and is saving at the rate of $6/wk.
The formula for Raphael’s savings is
y = 6x +40
When the two savings are equal
10x + 20 = 6x + 40 Subtract 20 from each side
10x = 6x + 20 Subtract 6x from each side
4x = 20 Divide each side by 4
x = 5
Their savings will be equal after five weeks.
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After five weeks , Jessica will have saved
y = 10×5 + 20
y = 50 + 20
y = $70
Raphael has also saved $70.
=====
Jessica is saving at a faster rate than Raphael.
She is saving at the rate of $10/wk, while he is saving at the rate of $6/wk.
The rate at which Jessica is adding to her savings is $4/wk more than the rate at which Raphael is adding to his savings.
The red line in the graph shows that Jessica starts with $20. After five weeks, she has caught up to Raphael, who also has $70 after five weeks.
