Answer:
The answer is 1/9.
Step-by-step explanation:
When solving for the slope of a perpendicular line to a given, you have to flip the opposite reciprocal.
First take the number and flip the reciprocal, in this case -9 turns into -1/9.
Then flip the sign, like making a negative to a positive or a positive to a negative. In this case make -1/9 into 1/9
Therefore the answer is 1/9.
B.
Let's simply look at each conjecture and determine if it's true or false.
A. 2n– 1 is odd if n is positive: Since n is an integer, 2n will
always be even. And an even number minus 1 is always odd. Doesn't matter
if n is positive or not. So this conjecture is true.
B. 2n– 1 is always even: Once again, 2n will always be even. So 2n-1 will always be odd. This conjecture is false.
C. 2n– 1 is odd if n is even: 2n is always even, so 2n-1 will always
be odd, regardless of what n is. So this conjecture is true.
D. 2n– 1 is always odd: 2n will always be even. So 2n-1 will always be odd. Once again, this conjecture is true.
Of the 4 conjectures above, only conjecture B is false. So the answer is B.
Using it's concept, it is found that the domain of the graphed function is given as follows:
D. 
<h3>What is the domain of a function?</h3>
It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.
In this graph, x assumes values between -4 and 2, inclusive due to the closed circle, hence the domain is given by:
D.
More can be learned about the domain of a function at brainly.com/question/10891721
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First subtract 4 then divide 2 so u can isolate x
If x=-5 is a zero, then the first factor of the polynomial would be (x + 5 )
To find the other two factors we can divide the polynomial by the expression (x+5).
Using synthetic division, we have:
-5 I 4 15 -24 5 (Coefficients of the dividend)
I -20 25 -5 (Multiplying each coefficient by the results of the substraction and adding)
-----------------------------------------------------------------------------------
4 -5 1 0 (Coefficients of the quotient)
The result of the division is 4x^2 - 5x + 1. Factoring it, we have:
4x^2 - 4x -x + 1 (Separating -5x into -x and -4x)
4x (x - 1) - (x -1) (Factoring each pair of terms)
(x-1)(4x-1) (Factoring using the common factor)
So the answer would be:
(x + 5 )(x-1)(4x-1)
