Answer:
Infinitely many solutions
Step-by-step explanation:
6x + 10 = 2(3x + 5)
Distribute;
6x + 10 = 6x + 10
Infinitely many solutions
Answer:
Step-by-step explanation:
To find a function's inverse, you first switch the x and y coordinates, and then solve for the new y. The same goes for finding an inverse's function. We have:
We will switch the x and y variables and then solve for the new y:
and
11x = y + 4 so
11x - 4 = y and
11x - 4 = f(x) which is choice C.
Answer:
D) 11/3
Step-by-step explanation:
Let x represent monthly salary.
We have been given that for each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity.
Salary earned in 11 months would be
.
Money donated in 11 months would be
.
Further we are told that in December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity.
Salary for December would be
.
Money donated in December would be
.
The worker's charitable contributions totaled one-eighth of his earnings for the entire year that is
.

Dividing whole equation by x, we will get:


Combine like terms:






Therefore, the value of N is 11/3 and option D is the correct choice.
Answer:
A triangle equals to 180. Given that it is a right triangle, one angle should be 90.
So, 90+20 = 110
180-110= 70
Therefore, the other two angles are 90 and 70.
Answer:
C. heteroscedasticity
Step-by-step explanation:
The OLS regression assumption of error variance being constant irrespective of independent variables, is called Homoscedasticity.
Var (u | x) = σ^2 (u) ;
where u = error term, x = independent variable, σ^2 (u) = constant error variance
The violance of this assumption ie Var (u | x) is related to independent variable x, is called Heteroscedasticity.