Mode means MOST. Which number is displayed the most?
39, 43, 43, 50, 55, 61, 75, <u>78, 78, 78</u>
Answer: 78
Note: I placed the data set into numerical order because it will help you to easily find the mode and also the median (middle number).
The answer is B.
For an expression to be a polynomial term, any variables in the expression must have whole number powers.
-3/x isn’t a polynomial term because the variable is in the denominator.
Answer:
46
Step-by-step explanation:
69/3 = 23 (1/3 of the customers)
23×2 = 46 (2/3 of the customers)
The answer would be A. When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system has infinite solutions. It would be hard finding this answer when we use the Cramer's Rule so instead we use the Gauss Elimination. Considering the equations:
x + y = 3 and <span>2x + 2y = 6
Determinant of the equations are </span>
<span>| 1 1 | </span>
<span>| 2 2 | = 0
</span>
the numerator determinants would be
<span>| 3 1 | . .| 1 3 | </span>
<span>| 6 2 | = | 2 6 | = 0.
Executing Gauss Elimination, any two numbers, whose sum is 3, would satisfy the given system. F</span>or instance (3, 0), <span>(2, 1) and (4, -1). Therefore, it would have infinitely many solutions. </span>
Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Step-by-step explanation:
The equation
can be solved by squaring both sides:

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

The square root of 49 equals 7, but the square root of -1 is an imaginary number.
The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>