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tensa zangetsu [6.8K]
3 years ago
13

What is the cost of six filters if the cost of 8 filterscost$39.92

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0
With this given information that 8 filters = $39.92. What you can do is divide $39.92 by 8 and get the individual price of 1 filter. So, $39.92/8 = $4.99 (price of 1 filter). The question is asking for the cost of 6 filters so you can multiply $4.99 with 6 filters and get $29.94. The answer is $29.94 for 6 filters.
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F(x) = 3x + 6 please help quickly!!!!!!!
Georgia [21]

Given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and \frac{(f(a + h) - f(a)) }{h} by substituting their values into f(x) = 3x + 6. We will have the following:

\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}

<em><u>Given:</u></em>

  • f(x) = 3x + 6

<em>We are told to find:</em>

  1. f(a)
  2. f(a + h), and
  3. \frac{(f(a + h) - f(a)) }{h}

1. <em><u>Find f(a):</u></em>

  • Substitute x = a into f(x) = 3x + 6

f(a) = 3(a) + 6

f(a) = 3a + 6

<em>2. Find f(a + h):</em>

  • Substitute x = a + h into f(x) = 3x + 6

f(a + h) = 3(a + h) + 6

f(a + h) = 3a + 3h + 6

<em>3. Find </em>\frac{(f(a + h) - f(a)) }{h}<em>:</em>

  • Plug in the values of f(a + h) and f(a) into \frac{(f(a + h) - f(a)) }{h}

Thus:

\frac{((3a + 3h + 6) - (3a + 6)) }{h}\\\\\frac{(3a + 3h + 6 - 3a - 6) }{h}\\\\

  • Add like terms

\frac{(3a - 3a + 3h + 6 - 6) }{h}\\\\= \frac{3h }{h}\\\\\mathbf{= 3}

Therefore, given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and \frac{(f(a + h) - f(a)) }{h} by substituting their values into f(x) = 3x + 6. We will have the following:

\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}

Learn more here:

brainly.com/question/8161429

6 0
3 years ago
Can anyone help me figure out how to do this
3241004551 [841]

Answer:

133m^2

Step-by-step explanation:

What if i say NO?

jk

3*3=9

8+3=11

12-3=9

sp

9*11=99

2 area coverd so far

99+9=108

7*2=14

108+14=122

Lastly the tir

10-7=3

11-3-2=6

6*4=24

24/2=12

133m^2

8 0
3 years ago
Algebra Vocab help? (25 points)
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I hope this helps :)
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4 0
2 years ago
Your neighbor had to drop the selling price of her home from $180,000 to $165,000. What percent did the price get lowered? Round
Vikki [24]
You could do 165,000 divided by 180,000. This is 165000/180000, and that will give you the percentage that 165000 is of 180000 in decimal form, which is 0.9167.
Then we round to the nearest tenth, which is 0.92
0.92 as a percentage is 92%.
100% - 92% = 8%
The price of the home dropped by 8%.
8 0
3 years ago
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