So for this problem, we will be using the exponential equation format, which is y = ab^x. The a variable is the initial value, and the b variable is the growth/decay.
Since our touchscreen starts off at a value of 1200, that will be our a variable.
Since the touchscreen is decaying in value by 25%, subtract 0.25 (25% in decimal form) from 1 to get 0.75. 0.75 is going to be your b variable.
In this case, time is our independent variable. Since we want to know the value 3 years from now, 3 is the x variable.
Using our info above, we can solve for y, which is the cost after x years.
In context, after 3 years the touchscreen will only be worth $506.
Answer:
1 + 12
Step-by-step explanation:
Let's do this one step by step!
We are going to make sure that we pay attention to the part in the parenthesis first!
Let's multiply -2x with -6 first.
Equation:
4+(-3)-2x(-6)
We do not need to parenthesis around the -3 because a negative cancels out a positive. So, no matter what you would have to subtract.
4 - 3 + 12x
And we get a positive 12 because both numbers that were being multiplied were negative.
Now let's combine common terms.
1 + 12x
This is your answer! I hope this helped!
Answer:
y = 6/5x - 2 (or y = 1.2x - 2)
Step-by-step explanation:
To find the slope-intercept form ( = mx + b) you need to rearrange the equation of the line:
Step 1 - Add 18x to both sides
15y = 18x - 30
Step 2 - Divide both sides by 15.
y = 6/5x - 2
Answer:
Step-by-step explanation:
7x - 2y = -3
14x + y = 14
7x - 2y = -3
28x + 2y = 28
35x = 25
x = 25/35= 5/7
14(5/7) + y = 14
10 + y = 14
y = 4
(5/7, 4)
<h3>
Answer:</h3>
5
<h3>
Step-by-step explanation:</h3>
Let n represent the numerator of the original fraction, which is n/(n+4). After adding 1/2, the value is (2(n+4)+1)/(2(n+4)), so we have ...
n/(n+4) + 1/2 = (2(n+4)+1)/(2(n+4))
Simplifying gives ...
... (2n +(n+4))/(2(n+4)) = (2n +9)/(2(n+4))
Since the denominators are the same, we can work only with the numerators.
3n +4 = 2n +9
n = 5 . . . . . . . . . . . subtract 2n+4
_____
<em>Check</em>
The original fraction is 5/(5+4) = 5/9. Adding 1/2 gives ...
5/9 + 1/2 = 10/18 + 9/18 = 19/18
Note the numerator of this last fraction is 1 more than the denominator, which is twice the original denominator.
