Answer:

Step-by-step explanation:
As the line is perpendicular to
, we know that the slope of the line is
. As it passes through
, we know that it should be
.
Answer:
Part 1)
The possible multiplicities are:
multiplicity 1
multiplicity 3
multiplicity 1
multiplicity 2
Part 2
The factored form is

Step-by-step explanation:
Part 1.
The missing diagram is shown in the attachment.
The zeroes of the seventh degree polynomial are the x-intercepts of the graph.
From the graph, we have x-intercepts at:
,
,
, and
.
The multiplicities tell us how many times a root repeats.
Also, even multiplicities will not cross their x-intercept, while odd multiplicities cross their x-intercepts.
The possible multiplicities are:
multiplicity 1
multiplicity 3
multiplicity 1
multiplicity 2
Note that the total multiplicity must equate the degree.
Part 2)
According to the factor theorem, if
is a zero of p(x), then
is a factor.
Using the multiplicities , we can write the factors as:




Therefore the completely factored form of this seventh degree polynomial is 
Answer:
x = 3
Step-by-step explanation:
given
4(x - 8) + 10 = - 10 ← subtract 10 from both sides
4(x - 8) = - 20 ← divide both sides by 4
x - 8 = - 5 ← add 8 to both sides
x = 3
Answer:
bjugb k
Step-by-step explanation:
Answer:
'Twice the sum of a number and 5' can be translated into variable expression such as:
Step-by-step explanation:
Given the phrase
<em>Twice the sum of a number and 5</em>
First, let us breakdown the English Phrase
Let the number be = n
The sum of a number 'n' and 5 = n + 5
now, twice the sum of a number and 5 can be determined by multiplying (n+5) with 5.
Thus,
'<em>Twice the sum of a number and 5</em>' can be translated into variable expression such as: