Answer:
Simplifying
(-4x + -2) + -1(13x + 1) = 0
Reorder the terms:
(-2 + -4x) + -1(13x + 1) = 0
Remove parenthesis around (-2 + -4x)
-2 + -4x + -1(13x + 1) = 0
Reorder the terms:
-2 + -4x + -1(1 + 13x) = 0
-2 + -4x + (1 * -1 + 13x * -1) = 0
-2 + -4x + (-1 + -13x) = 0
Reorder the terms:
-2 + -1 + -4x + -13x = 0
Combine like terms: -2 + -1 = -3
-3 + -4x + -13x = 0
Combine like terms: -4x + -13x = -17x
-3 + -17x = 0
Solving
-3 + -17x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -17x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -17x = 0 + 3
-17x = 0 + 3
Combine like terms: 0 + 3 = 3
-17x = 3
Divide each side by '-17'.
x = -0.1764705882
Simplifying
x = -0.1764705882
<u>Let's first consider:</u><em> the fact that a new computer loses 1/2 of its value</em>
<em> </em> ⇒ <u>third choice</u> and <u>fourth choice</u> are <u>eliminated</u>
⇒ because of the graph project the computer's value as growing over
years
<u>Now let's try to set up an equation</u>:
After 1st year ⇒ Computer's value =
After 2nd year ⇒ Computer's value =
After 3rd year ⇒ Computer's value =
..... (<em>Hopefully you see a pattern)</em>
<em />
After x year ⇒ Computer's value =
<u>Therefore, the equation is</u>:
⇒that means the graph has to <u>exponentially decreasing</u> as it has
an exponent (<em>meaning the function is exponential</em>) and a base less
than 1 (<em>meaning that the function is decreasing)</em>
<u>Answer: Choice (1)</u>
<u></u>
Hope that helps!
Answer: 300/91
Step-by-step explanation:
1. Convert 4 1/3 to an improper fraction
13/3
2. Divide, using the keep, change, flip method to divide fractions
- Keep the first fraction the same (100/7)
- Change the division sign to a multiplication sign
- Flip the second fraction (13/3 -> 3/13)
3. Plug-in and evaluate
100/7 * 3/13
300/91
If you are looking for the solution as a mixed number, it is 3 27/91
4. Simplify, if applicable. This fraction cannot be simplified any further.