Answer:
25
Step-by-step explanation:
Synthetic division shows the remainder to be 25-c. In order for that remainder to be zero, the value of c must be 25.
Answer:
AC = 15
Step-by-step explanation:
3x + 4x + 8 = 5x + 10
7x + 8 = 5x + 10
2x + 8 = 10
2x = 2
x = 1
5(1) + 10 = 15
The question as presented is incomplete, here is the complete question with the multiple choice:
The sequence a1 = 6, an = 3an − 1 can also be
written as:
1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1)
3) an = 2 ⋅ 3^n
4) an = 2 ⋅ 3^(n + 1)
The correct choice is option 3) an = 2⋅3^n.
If we look at the initial sequence an = 3⋅an-1, and
a1 = 3⋅a0 = 6
a0 = 6/3
a0 = 2
We can now look at the sequence.
a0 = 2
a1 = 6
a2 = 18
a3 = 54
etc...
A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.
a0 = 2⋅1
a1 = 2⋅3
a2 = 2⋅9
a3 = 2⋅27
The numbers being multiplied by 2 are all factors of 3. So we can rewrite the sequence again as:
a0 = 2⋅3^0
a1 = 2⋅3^1
a2 = 2⋅3^2
a3 = 2⋅3^3
This sequence can now be rewritten as an = 2⋅3^n.
Answer: The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the first equation:
You can identify that:
By definition, the line intersects the x-axis when 
. Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:
Now you can graph it.
Solve for "y" from the second equation:
You can identify that:
Notice that the slopes and the y-intercepts of the first line and the second line are equal; this means that they are exactly the same line and the System of equations has<u> Infinitely many solutions.</u>
See the graph attached.
Yes because 6/18=1/3 and 2/6=1/3. Then 6/18=2/6
