Answer:
The remainder = 13.
Step-by-step explanation:
By the Remainder Theorem the remainder when the function is divided by
x - 1 is f(1).
f(1) = 4(1)^3 + 4(1)^2 + 2(1) + 3
= 4 + 4 + 2 + 3
= 13.
So x - 1 is not a factor of f(x).
If it was a factor the remainder would be 0.
Answer:
1350 cm^2
Step-by-step explanation:
245/8.2 = 416/x
245x = 3411.2
x = 13.9
So the answer is 13.9 gallons
Using a graphing tool
Let's graph each of the cases to determine the solution of the problem
<u>case A)</u>
see the attached figure N ![1](https://tex.z-dn.net/?f=1)
The range is the interval--------> (0,∞)
![y> 0](https://tex.z-dn.net/?f=y%3E%200)
therefore
the function
is not the solution
<u>case B)</u> ![y=2(3^{x})](https://tex.z-dn.net/?f=y%3D2%283%5E%7Bx%7D%29)
see the attached figure N
The range is the interval--------> (0,∞)
![y> 0](https://tex.z-dn.net/?f=y%3E%200)
therefore
the function
is not the solution
<u>case C)</u>
see the attached figure N
The range is the interval--------> (-∞,3)
![y< 3](https://tex.z-dn.net/?f=y%3C%203)
therefore
the function
is the solution
<u>case D)</u>
see the attached figure N
The range is the interval--------> (-3,∞)
![y>-3](https://tex.z-dn.net/?f=y%3E-3)
therefore
the function
is not the solution
<u>the answer is</u>
Answer:
31
Step-by-step explanation:
Recognize that all angles of a triangle add up to 180 degrees, so your equation would be x + 16 + x + 24 + 78 = 180.
<em>Step 1: Combine like-terms.</em>
2x + 118 = 180
<em>Step 2: Subtract 118 from both sides to isolate the variable.</em>
2x = 62
<em>Step 3: Simplify</em>
x = 31