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alexandr402 [8]
3 years ago
6

The graph of the function y=f(x) is shown below. What are the values of a,b,c, and d in the definition of f(x) below?

Mathematics
1 answer:
aalyn [17]3 years ago
7 0

9514 1404 393

Answer:

  (a, b, c, d) = (2, -3, -2, 2)

Step-by-step explanation:

The horizontal segment where y=3 extends from x = -2 to x = 2. These are the values of c and d, respectively.

The slope of the left piece is up 2 for over 1, so is 2/1 = 2, the value of a.

The slope of the right piece is down 3 for over 1, so is -3/1 = -3, the value of b.

So, we have ...

  • a = 2
  • b = -3
  • c = -2
  • d = 2
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0.624 in expanded form
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The <u><em>correct answer</em></u> is:

0.6 + 0.02 + 0.004

Explanation:

To write a number in expanded form, we use place value. In this number, 6 is in the tenths place; that makes its value 6(0.1) = 0.6.

2 is in the hundredths place; that makes its value 2(0.01) = 0.02.

4 is in the thousandths place; that makes its value 4(0.001) = 0.004.

Together, we get a sum of 0.6+0.02+0.004.

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Vlad1618 [11]

Answer:

x = -4/3

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What would be the surface area of the figure..
valina [46]

Answer:

<h2>           503 cm²</h2>

Step-by-step explanation:

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8 0
3 years ago
The population, p, of a town after t years is represented using the equation p=10000(1.04)^-t Which of the following is an equiv
Lisa [10]

Answer:

p=10000(26/25)t

Step-by-step explanation:

Considering that the population, p, of a town after t years is represented using the equation p=10000(1.04)^-t

The equation is equivalent to p=10000(26/25)t, because;

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kvv77 [185]
<h3>Answer: 9.75 dollars</h3>

===========================================================

Explanation:

There are two ways to solve this problem.

Method 1:

35% = 35/100 = 0.35

35% of 15 = 0.35*15 = 5.25

So you save $5.25, which is the discount amount.

The sale price is 15 - 5.25 = 9.75 dollars

---------------

Method 2:

If you save 35%, then you still need to pay the remaining 65%

35% + 65% = 100%

The sale price is 65% of original price

sale price = 65% of original price

sale price = 0.65*15

sale price = 9.75 dollars

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Extra info (optional section)

The benefit of method 2 is that we can chain multiple discounts together. Consider that on top of the 35% discount, the store then decides that members (people who pay monthly) will get an extra 10% off. The natural thinking is that the total discount is 35%+10% = 45% off, but that's not correct.

We can see this if we say that the original price is say $100 and 35% off would lead to a price of 0.65*100 = 65 dollars. Then an extra 10% off means we pay 90% of that new price (65 dollars) to get 0.90*65 = 58.50

As a shortcut, we can just multiply the values of 0.65*0.90 = 0.585

Then note how 100*0.585 = 58.50 showing us a fairly fast way to compute the final sale price even if multiple discounts are applied. This can be extended to more discounts. Again, we do not add the percentages when it comes to figuring out how much the total discount percentage would be.

Since the item was $100 but now it's 58.50, this means we saved 100-58.50 = 41.50 dollars. The discount is therefore 41.50/100 = 41.50% which is close to the 45% calculated earlier, but not quite there.

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