Answer: 129
Step-by-step explanation:
It is 129 because y is less than 70 so the greatest possible value for that is 69 and z is less than or equal to 60 so 69 + 60 =129
Company B; the ratios of cost to weight are equivalent.
Step-by-step explanation:
Step 1:
In the equation, 
k is the constant of proportionality.
If the values are in accordance with , the values of k will be constant for all the values.
So we determine the values of k for both the companies and see which has a constant k.
If 
. In these tables, y is the total cost and x is the weight in lbs.
Step 2:
For company A,
when 
when 
when 
For company B,
when 
when 
when 
So company B has a constant value of 
.
Answer:
x=b/(ay)
Step-by-step explanation:
To make x the subject of the formula, we basically have to isolate the x.
To do this we first multiply both sides by x.
xy=b/a
Now, to isolate the x, we simply divide by y,
x=b/(ay)
So x=b/(ay) is our answer
Answer:
Price of widget to break even= $37.9
Step-by-step explanation:
We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;
y = -8x² + 348x - 1705
Now, the company will break even when it has made no profit. That is when, y = 0
Thus;
0 = -8x² + 348x - 1705
Rearranging,
8x² - 348x + 1705 = 0
Using quadratic formula ;
x = [-b ± √(b² - 4ac)]/2a
x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)
x = $5.63 or $37.87
We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.
We are told to approximate to nearest cent. Thus,
Price of widget = $37.87 ≈ $37.9
D 28/4=7 that is the answer for the question
