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Vanyuwa [196]
3 years ago
13

Can you help me please for number 8

Mathematics
1 answer:
forsale [732]3 years ago
6 0
Sure... what's number 8????
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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
2 years ago
Answer the questions about the dot and box plot.
ivanzaharov [21]

Answer:

a. 104

b. 102, 104, and 105

Step-by-step explanation:

a. There are 13 data points plotted on the dot line. The median lies between the 6th and 7th data point.

Thus, on the dot line, the 6th and 7th data points both fall on 104.

Therefore, median = 104

b. The dot plot shows the high temperatures that occurred more than one day are:

102, 104, and 105

5 0
3 years ago
50 Points! find x and explain how you found it!
stepan [7]

To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:

   sin(53) = (side opposite angle of 53 degrees) / hypotenuse

    sin(53) = x / 24

     x = 24 sin(53)

    x = 19.16

Hope that helped

3 0
2 years ago
Read 2 more answers
Solve the problem:
Over [174]

Answer:

Step-by-step explanation:

ohfpifpijpijsfpjspijpsijfpsjfpsjfpisjfpijsfpsijf

4 0
2 years ago
What is the value of z?
Shalnov [3]

Answer:

3 (z = 35)

Step-by-step explanation:

(22 + 19) + 104 + z = 180° => triangle sum theorem

41 + 104 + z = 180

145 + z = 180

145 + z - 145 = 180 - 145

z = 35

8 0
3 years ago
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