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Elena-2011 [213]
2 years ago
14

The length of a rectangular air filter is 33 inches less than twice the width. find the length and width of the filter if the ar

ea is 464464 square inches.
Mathematics
1 answer:
Karolina [17]2 years ago
8 0
L=2W-33, A=LW, and A=464464 so

464464=(2W-33)W

464464=2W^2-33W

2W^2-33W-464464=0

W=(33(+-)(3716801)^(1/2))/4

W=490.23in (approx)

L=2W-33=947.45in


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Step-by-step explanation:

4(3x - 2) + 2³ = 6

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12x = 6

x = 1/2

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Which is the graph of g(x) = [X + 3]?
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He buys a suit that was on sale for 25%off. He only paid $125.00. What was the original price? What was the amount of the discou
Citrus2011 [14]

Equation  1):

You want to buy something that costs $166.66, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $166.66 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $166.66, like this:  

0.250 x $166.66 = $41.67.

So for this sale, you'll save $41.67 on this item.

This means, the cost of the item to you is  

$166.66 - $41.67 = $125.00.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?  

0.750 x $166.66 = $125.00.

Answer =====> Just like the result above, the sale price on the item is $125.00.





Equation 2:)

You want to buy something that costs $125, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $125 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $125, like this:  

0.250 x $125 = $31.25.

So for this sale, you'll save $31.25 on this item.

This means, the cost of the item to you is  

$125 - $31.25 = $93.75.  

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $125 = $93.75.

Answer =====> Just like the result above, the sale price on the item is $93.75.




Hope that helps!!!                                                     : )


8 0
3 years ago
7. If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5)=-2, gʻ(5) = 6.. Find F'(5) <br>​
serious [3.7K]

Answer:

I'm going to lay this out in a chart so it's a little easier to see:

F(x) = f(g(x))

x | f (x) | f ' (x) | g (x) | g ' (x)

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

-2 | 8 | 4 |

5 | | 3 | -2 | 6

Remember the chain rule, which says

(f (g (x))) ' = g ' (x) f ' (g (x))

When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.

Using the chain rule, that's

F ' (5) = g ' (5) f ' (g (5))

We can simplify using the numbers provided.

F ' (5) = (6) f ' (-2)

F ' (5) = (6) (4)

F ' (5) = 24

I hope that helps!

by jannat <33

7 0
2 years ago
Read 2 more answers
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