Answer: a²+b² = -99/2
Step-by-step explanation:
Since we are given two equations, this equations will be solved simultaneously to get a² and b²
a³ - 3ab² = 47 ... 1
b³ - 3a² b = 52... 2
From 1, a(a² - 3b²) = 47...3
From 2, b(b² - 3a²) = 52... 4
Adding 3 and 4, we have;
a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)
a²+b²-(3b²+3a²) = 99
(a²+b²) -3(b²+a²)= 99
Taking the difference we have
- 2(a²+b²) = 99
a²+b² = -99/2
Answer:
The slope of the line is 2
Step-by-step explanation:
y=2x+1, compare it to the slope intercept form of a line, y=mx+c, the slope will be 2
Amount earned by Sharon per item sold = $25
Base salary of Sharon per week = $100
Amount that needs to be earned by Sharon per week = $700
Let us assume the number of items sold by Sharon per week = x
Then
100 + 25x = 700
25x = 700 - 100
25x = 600
x = 600/25
= 24
So Sharon needs to sell 24 items to earn a total of $700 per week. I hope you have understood the method of solving such problems.
Hello!
As we can see, our a value, which would be the coefficient of , which determines our slope, is negative, meaning that this whole line is negative.
Furthermore, the correlation can be determined using the r value of the linear regression, which is around -0.9.
If the r value of the linear regression is close to 1 or -1, let's say around |r| > 0.8, then we can consider the regression a strong correlation, meaning that this is a strong negative correlation, which is answer choice A.
Answer:
-2,-1,1,2
Step-by-step explanation:
The term root is just another name for the x intercept so just look at where your line crosses the x axis and you will have your answer. Remember the y axis is not involved so it cannot be a co-ordinate.