Answer:
x=2m−6
Step-by-step explanation:
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
Which sequence is arithmetic? 6, 12, 15, 21, ... 7, 14, 21, 36, ... 8, 16, 32, 64, ... 9, 18, 27, 36, ...
charle [14.2K]
9, 18, 27, 36 is a Arithmetic sequence and the sequence is 9
a constant of proportionality is a number you have to multiply x by to get y.
y=kx is the equation that expresses the proportionality of x and y
the constant of proportionality is k, so k=-5
Answer:
Step-by-step explanation:
−4(−4u3−2+v2)
=(−4)(−4u3+−2+v2)
=(−4)(−4u3)+(−4)(−2)+(−4)(v2)
=16u3+8−4v2
=16u3−4v2+8
