Answer:
Option D
Step-by-step explanation:
Verify each quadratic equation
case A) we have
This quadratic equation has a leading coefficient of 1
Substitute the value of x=3 and x=-2 in the equation
For x=3
----> is not true
therefore
x=3 is not a solution of the quadratic equation
case B) we have
This quadratic equation has a leading coefficient of 1
Substitute the value of x=3 and x=-2 in the equation
For x=3
----> is not true
therefore
x=3 is not a solution of the quadratic equation
case C) we have
This quadratic equation has a leading coefficient of 1
Substitute the value of x=3 and x=-2 in the equation
For x=3
----> is not true
therefore
x=3 is not a solution of the quadratic equation
case D) we have
This quadratic equation has a leading coefficient of 1
Substitute the value of x=3 and x=-2 in the equation
For x=3
----> is true
therefore
x=3 is a solution of the quadratic equation
For x=-2
----> is true
therefore
x=-2 is a solution of the quadratic equation
In order to find out where your holes and asymptotes are is to factor both the top and the bottom of that rational function. The numerator factors to (x+2)(x-2) and the denominator factors to x(x+1)(x-2). So since there is an (x-2) in both the numerator and denominator, that is called a removable discontinuity which we also know as a hole. The other factors in the denominator, the x and the (x+1) are vertical asymptotes, or values of x that make the rational function undefined (you're NEVER allowed to have a 0 in the denominator of a fraction!). So your correct choice is c. The way you find the y coordinate for the hole is to plug in 2 for x and solve it for y. No biggie.
Answer:
Step-by-step explanation:
Two angles are said to be supplementary if they add up to be . If the first angle is x and the second angle is y , then :
x + y = , together the angle will form a straight line.
From the question , the first angle is , if the second angle is x, then
x + 13 = 180
x = 180 - 13
x =
Answer:
A) x-1 < n < 3x+5
Step-by-step explanation:
The value of n can range between the sum and difference of the lengths of the other two sides. The sum is ...
(2x +2) +(x +3) = 3x +5
The difference is ...
(2x +2) -(x +3) = x -1
For the purpose of choosing one of these answers, we must assume that the sum is greater than the difference and the value of x is such that x-1 > 0. Using these assumptions, possible values of n are ...
x -1 < n < 3x +5 . . . . . for x > 1
_____
<em>Alternate Solution</em>
The expressions for the given side lengths are both positive when x > -1. In the range -1 < x < 1, we have the condition that 2x+2 ranges from 0 to 4 and x+3 ranges from 2 to 4. That is (x+3) > (2x+2) and possible values of n are ...
lowest: (x+3) -(2x +2) = 1 -x
highest: (x+3) +(2x +2) = 3x +5
So, another possible solution is ...
1-x < n < 3x +5 . . . . . . . for -1 < x < 1