Answer:
Step-by-step explanation:
Check attachment for better understanding of the data given
Since the given data is a linear data,
Then we can use equation of a line to find the relationship between x and y
Let pick any tel point from the given data
P1 = (x1, y1) = (1, 80)
P2 = (x2, y2) = (2, 160)
Then, equation of alone given two points can be determine using
∆y/∆x = y-y1 / x-x1
y2 - y1 / x2 - x1 = y-y1 / x-x1
160 - 80 / 2 - 1 = y - 80 / x - 1
80 / 1 = y - 80 / x - 1
Cross multiply
80(x - 1) = 1(y - 80)
80x - 80 = y - 80
Add 80 to both sides
80x - 80 + 80 = y - 80 + 80
80x = y
Then,
y = 80x
Then, the mistake useful made is multiplying x by 8 instead of multiply it by 80
So, the correct option is
D. Yosef should have multiplied the x-values by 80 to get the y-values.
9514 1404 393
Answer:
$562,500 per hour
Step-by-step explanation:
The cost will be a minimum where C'(x) = 0.
C'(x) = 0.56x -0.7 = 0
x = 0.7/0.56 = 1.25
The cost at that production point is ...
C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625
The minimum production cost is $562,500 per hour for production of 1250 items per hour.
_____
<em>Additional comment</em>
This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.
Answer:
( x+3) ^2 + ( y-4) ^2 = 9
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + ( y-k) ^2 = r^2
Where ( h,k) is the center and r is the radius
( x--3) ^2 + ( y-4) ^2 = 3^2
( x+3) ^2 + ( y-4) ^2 = 9
235,236,237,238,239,241,242,243,244
Answer:
Number of batches she can make = 2
Step-by-step explanation:
Batch of muffins : cups of almond milk
= 1 : 3
Rose has 6 cups of almond milk.
How many batches of muffins could she make?
Let
x = number of batches she can make
Batch of muffins : cups of almond milk = x : 6
Equate both ratios
1 : 3 = x : 6
1/3 = x/6
Cross product
1 * 6 = 3 * x
6 = 3x
x = 6/3
x = 2 batches
Number of batches she can make = 2