For which values of x is the function
1 answer:
Answer:
x = - 5, x = - 11
Step-by-step explanation:
Given
y =
The denominator cannot be zero as this would make y undefined.
Equating the denominator to zero and solving gives the values that x cannot be, that is
(x + 5)(x + 11) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 11 = 0 ⇒ x = - 11
Thus
x = - 11 and x = - 5 are excluded values.
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The explicit formula for the sequence is 3n -10
<h3>What is an Arithmetic Sequence ?</h3>An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by
Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be
= -7 +3n -3
= 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
To know more about Arithmetic Sequence
#SPJ1
step 1: Given
step 2: Distributive Property
step 3: Combine Like terms
step 4: Subtraction Property of Order
step 5: Addition property of order
step 6: Division property of order
Step-by-step explanation:
We are given the inequality:
We need to match each step with the reasons.
The given steps are:
1.
−38−3(x+5)>6x−17
So, Reason for step 1: Given
2.
−38−3x−15>6x−17
So, Reason for step 2: Distributive Property
3.
−3x−53>6x−17
So, Reason for step 3: Combine Like terms
4.
−9x−53>−17
So, Reason for step 4: Subtraction Property of Order
5.
−9x>36
So, Reason for step 5: Addition property of order
6.
x<−4
So, Reason for step 6: Division property of order
Keywords: Solving inequalities
Learn more about Solving inequalities at:
#learnwithBrainly