Looks like it’s about 160°
Answer:
Option 2: (1, 0) and (0, -5)
Step-by-step explanation:
Let's solve this system of equations using the elimination method.
Start by labelling the two equations.
5x -y= 5 -----(1)
5x² -y= 5 -----(2)
(2) -(1):
5x² -y -(5x -y)= 5 -5
Expand:
5x² -y -5x +y= 0
5x² -5x= 0
Factorise:
5x(x -1)= 0
5x= 0 or x -1= 0
x= 0 or x= 1
Now that we have found the x values, we can substitute them into either equations to solve for y.
Substitute into (1):
5(0) -y= 5 or 5(1) -y= 5
0 -y= 5 or -y= 5 -5
y= -5 or -y= 0
y= 0
Thus, the solutions are (0, -5) and (1, 0).
ANSWER:
[a] A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).
[b] In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the “Slope-intercepts form”.
NOTE: See picture attached.
Answer: 2 inches, 3 inches, or 3.125 and 2.083
Explanations:
The simplest way is to take 20% of the 2.5 inches and go that much above & below 2.5 inches.
2.5 x 20% = 2.5 x 0.20 = 0.5
So 2.5 - 0.5 = 2 inches was predicted
And 2.5 + 0.5 = 3 inches was predicted.
The more complicated way is to see number + 20% of that number = 2.5, and what number - 20% = 2.5.
Which solution sounds more like what you’re doing in class right now?
If it’s the more complicated way:
0.8x = 2.5 (80% of the predicted rain value equals 2.5)
x = 3.125 inches was predicted
1.2x = 2.5 (120% of the predicted rain value equals 2.5)
x = 2.083 inches was predicted
Sorry, this is probably confusing. Let me know what questions you have.
Answer:
Continuous: g(x) and j(x)
Removable: h(x) and m(x)
Infinite: f(x) and i(x) and k(x)
Jump: l(x)
Step-by-step explanation:
