Answer:
<h2>The rational root of the given polynomial is 42.59.</h2>
Step-by-step explanation:
The polynomial is given by 2x + 5.82 - 81 - 10 = 0
or, 2x + 5.82 - 91 = 0
or, 2x = 85.18
or, x = 42.59.
The rational roots of any polynomial = the ratio of the factors of constants and factors of leading coefficients.
<span>10!/4!*6!=(10*9*8*7*6*5*4*3*2*1)/4*3*2*1*6*5*4*3*2*1
10*9*8*7/4*3*2*1=5040/24=210</span>
Answer:
1) y = -f(x) (This is the reflection about the x-axis of the graph y = f(x).) That is for every point (x, y) there is a point (x, -y). Look at the example graphs below of y = x2 and y = -x2. Notice the green graph is simply the same as the blue graph folded down
Answer:
We conclude that Tim is correct when he says that the expression x² only yields values that are positive.
Step-by-step explanation:
Given the expression
x²
- Plug in and checking x = 1 and x = -1 in the expression
Putting x = 1 in the expression
x²= (1)² = 1
Putting x = -1 in the expression
x²= (-1)² = 1
Thus, the expression yields the same output '1' when we enter x = 1, and x=-1.
- Plug in and checking x = 2 and x = -2 in the expression
Putting x = 2 in the expression
x²= (2)² = 4
Putting x = -1 in the expression
x²= (-2)² = 4
Thus, the expression yields the same output '4' when we enter x = 2, and x=-2.
- Plug in and checking x = 3 and x = -3 in the expression
Putting x = 3 in the expression
x²= (3)² = 9
Putting x = -1 in the expression
x²= (-3)² = 9
Thus, the expression yields the same output '9' when we enter x = 3, and x=-3.
The reason why the expression x² only yields positive values because the expression is in the square form, and the square of any number will always yield a positive value, no matter whether the input number is negative or positive.
Therefore, we conclude that Tim is correct when he says that the expression x² only yields values that are positive.
