Answer:
x = ± 
Step-by-step explanation:
-8 - 8x^2= -31
Since this is a quadratic, it needs to be factored.
First, move the x to the other side:
-8 = 8x^2 - 31
Then, get the x alone by first adding 31:
23 = 8x^2
then dividing by 8:
x^2 = 23/8
Finally, square root both sides and remember the even roots property:
x = ± 
and simplify the root 8:
x = ±
Note: This answer may have a mistake.
Answer:
-3 + (n-1)(-4)
Step-by-step explanation:
We follow the formula.
a1 + (n-1)d
d is the common difference.
Answer: 2.29 x 10^4
Step-by-step explanation:
Answer:
Options (A), (B)
Step-by-step explanation:
Option A.
Two sides of the given triangle are equal. Therefore, the given triangle is an isosceles triangle.
Option (B).
Given triangle has a right angle. Therefore, it's a right triangle.
Option (C).
Only two sides of the given triangle are equal. Therefore, it's not an equilateral triangle.
Option (D).
Although this triangle has two acute angles (less than 90°) but the third angle is 90°. Therefore, this triangle is not an acute triangle. It's a right triangle.
Option (E).
A scalene triangle is a triangle having all sides different in measure but the given triangle is an isosceles triangle. Therefore, it's not a scalene.
Option (F).
Any angle of this triangle is not more than 90°. Therefore, the given triangle is not an obtuse triangle.
Answer:
A
Step-by-step explanation:
Simple linear regression is a statistical method that summarizes and study relationships between two continuous quantitative variables.
One variable is regarded as the predictor, explanatory, or independent variable and the other variable is regarded as the response, outcome, or dependent variable.
Two variables can be denoted by X and Y.
Among the given options, the correct option is A. After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y
