Solve by completing the square. w2 − 8w − 39 = 0 Write your answers as integers, proper or improper fractions in simplest form,
1 answer:
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Answer:
Step-by-step explanation:
The first step is to realize that this is a geometric sequence, where each next term in the sequence is 2.5 times larger than the previous. You can confirm this by the fact that 3=1.2*2.5, 7.5=3*2.5, and 18.75=7.5*2.5. Now, you can write the formula, where n is where the number is in the sequence, and a is the number itself. Since 1.2 is the first term in the sequence and the rate of expansion is 2.5, the formula is:
Hope this helps!
Answer:
$100.25
Step-by-step explanation:
To figure this out we can write a really simple equation! to start we're going to identify our variables: in this case we'll make for total,
for the amount of copper,
for the amount of aluminum, and
for the amount of plastic. We can then create this equation to represent the sum of the amount of material times the value. This equation will look like this:
Now that we have an equation written out, we can plug in the amount of each material to get . We can then simplify this by following PEDMAS and multiplying to get
and then all we have left is to add to get