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.
Yo have to find the distance between point L and point M. First, you have to do the x values. 1 - -3 = 4. Then, you subtract the y values. -2 - 4 = -6. Next, you add the found numbers to the x and y of the midpoint (m). Leaving 1 +4=5 and -2 + -6 = -8.
(5,-8)
Answer:
Step-by-step explanation:
The distance (d) between two points in 3 dimensions is ...
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)
Then the distance between (a, -b, -4) and (0, 0, 0) is ...
d = √((a -0)² +(-b -0)² +(-4 -0)²)
= √(a² +b² +16)
Answer:
Step-by-step explanation:
The vertex form of a quadratic equation <em>y = ax² + bx + c:</em>
<em>y = a(x - h)² + k</em>
(h, k) - coordinates of a vertex
We have the equation <em>y = x² - 6x + 6</em>.
Convert to the vertex form:
