Answer:84f+57g
Step-by-step explanation:
First, multiply everything in parenthesis.
Multiply the 6 by 8f+10g, and the 4 by 3g+9f.
This gets you 48f+60g+9g-12g+36f.
After that, just solve it like normal.
You get 84f+57g.
Answer:
5x^2 +10x
Step-by-step explanation:
The area is the product of the height and width. For this exercise, it is convenient to compute the rectangle areas individually, then write their sum:
blue rectangle area = (5x)(x) = 5x^2
red rectangle area = (5x)(2) = 10x
Total area = 5x^2 +10x.
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If you start by writing an expression for the total area, expanding it requires you deal with the unlike terms separately anyway:
5x(x +2) = 5x(x) +5x(2) = 5x^2 +10x
Answer:
15(b)
16(a)
Step-by-step explanation:
15) 2x+10/2
Taking 2 common
2(x+5)/2
x+5
16) -2(-x-3)
(-2*-x)+(-2*-3)
2x+(6)
2x+6
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:

Step-by-step explanation:
