We know that: ( h, k ) = ( 3 , 2 ) and that vertex formula is:y = a ( x - h ) + kSo: y = a ( x - 3 )² + 2 And since: ( x, y ) = ( 10, 1 )1 = a ( 10 - 3 )² + 21 = a · 7² + 21 - 2 = 49 a- 1 = 49 aa = -1/49Answer:y = -1/49·( x - 3 )² + 2
Answer:
$2.25 per pound
Step-by-step explanation:
Graph attached shows the relation between the weight of the potatoes and cost of potatoes purchased.
Cost of 1 pound of potatoes will be represented by the slope of the given line.
Since slope of a line passing through two points
and
is given by the formula,
Slope = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Therefore, slope of the line passing through (0, 0) and (2, 4.5) will be,
Slope = ![\frac{4.5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4.5%7D%7B2%7D)
= 2.25
Therefore, cost of potatoes is $2.25 per pound.
Answer:
Original Price = $23
Step-by-step explanation:
$5.75 is the price after a discount of 75%
Let the original price be x and x is 100% of the price
5.75 = 100%x - 75%x
5.75 = 25%x
The new price is 25% of the original because you are subtracting 75%
25% is also written as 0.25
5.75 = 0.25x
x = 5.75/0.25
x = 23
The original price is 23
-Chetan K