Step-by-step explanation:
<u>Given</u>
- x + 2y = 3 and xy = 2
- show that x³ + 8y³ + 9 = 0
<u>Solution in steps:</u>
- (x + 2y)³ = 3³
- x³ + 3x²(2y) + 3x(2y)² + (2y)³ = 27
- x³ + 6x(xy) + 12y(xy) + 8y³ = 27
- x³ + 8y³ + 6(x + 2y)xy = 27 ⇒ Substitute values
- x³ + 8y³ + 6*3*2 = 27
- x³ + 8y³ + 36 - 27 = 0
- x³ + 8y³ + 9 = 0
Done
Answer:
1,518,000 committees.
Step-by-step explanation:
We have been given that the judiciary committee at a college is made up of three faculty members and four students. Ten faculty members and 25 students have been nominated for the committee.
We will use combinations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
Therefore, 1,518,000 judiciary committees could be formed at this point.
Just move the negative in front of the fraction !
Answer:
A) So in the table, we can see that from one pair (x,y) to the next one, x-variable increase in 10 units and y-variable increase in 80 units. This is valid for all pairs (x,y), which mean that there is a linear relationship between these variables.
B) Equation of a line in the slope y-intercept form: y = mx + b
<u>y = 8x + 120</u>
Slope (m) = y-variable increment / x-variable increment = 80/10 = 8
the coordintae (0, 120) indicates that 120 is the y-intercept (b) of the line
C) The y-intercept indicates the number of products produced monthly without employees. The slope indicates how much the production increase with a new employee.
1/8 + 1/4
1/4 is 2/8 so 1/8 +2/8 is 3/8 he grew a total of 3/8 of an inch in those two months
