Let James be x years old
Joe = 10 + x
After 8 years
18 + x = 3(x)
18 + x = 3x
18 = 2x
x = 9
Joe is 19
James is 9
Y + 3 = x - 1
- 3 - 3
y = x - 4
The slope-intercept form of the equation of the line is y = x - 4.
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
Answer:
Her z-score is 2.03.
Step-by-step explanation:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

Michelle’s height is 1.758 meters. What is her z-score?
Michelle's is a woman.
The average height of women is
and the standard deviation is 
This is Z when X = 1.758. So



Her z-score is 2.03.
If your looking for the value of "x" it is 4.
Hope this helped!