Answer:
C. y = 1/2x - 14
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line parallel to y
=
1
/2
x
−
8
.
y
=
1
/2
x
−
14 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to y
=
1
/2
x
−
8
.
y
=
−
2
x
−
29 PERPENDICULAR
The binomial factor of the equation
is 3x-8.
<h3>What is a binomial factor?</h3>
The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials.
Factoring binomials means breaking down a binomial expression into its simplest form.
Binomials are algebraic expressions with two terms.
The given binomial is;

The binomial is determined in the following steps given below.

Hence, the binomial factor of the equation
is 3x-8.
To know more about the Binomial factor click the link given below.
brainly.com/question/1493247
Answer:
f(3x) - 2g(x+1) = 12x - 5
Step-by-step explanation:
You've got f[g(x)] and g[f(x)] correct
However, f(3x) means substitute 3x for x in f(x):
f(3x) = 2(3x) - 3
⇒ f(3x) = 6x - 3
2g(x+1) = 2[4 - 3(x + 1)]
⇒ 2g(x+1) = 2[4 - 3x -3]
⇒ 2g(x+1) = 2[1 - 3x]
⇒ 2g(x+1) = 2 - 6x
f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)
⇒ f(3x) - 2g(x+1) = 12x - 5
Infinite number of solutions...means it will be the same line.
you have probably heard about equivalent fractions like 1/2 = 2/4...and if u reduce 2/4, it equals 1/2. Well...there are also equivalent equations. They can also be reduced.
3y = 2x - 9 cant be reduced, but u can make an equivalent equation by multiplying it all by a number.Any number.
lets try 2...
2(3y = 2x - 9) =
6y = 4x - 18...this is an equivalent equation....the same line..infinite solutions.Notice that u can reduce it by dividing everything by 2 which would equal 3y = 2x - 9....so u see, it is like equivalent fractions....kind of...lol
or multiply it by 3
3(3y = 2x - 9) =
9y = 6x - 27....this is also equivalent.....so this is an answer as well
and u can multiply it by 4 and get another equivalent equation..or 5, or 6....and so on...
make any sense ?? Just remember, to get the result of infinite solutions, the equations have to be equivalent
Answer:
0
Step-by-step explanation:
7x - 4 = -4
add 4 to both sides
<em>7x = 0</em>
x = 0