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alexdok [17]
3 years ago
13

Find the derivative of f(x) = 6x + 7 at x = 9

Mathematics
2 answers:
Ket [755]3 years ago
3 0

Answer:

f'(9) = 6

Step-by-step explanation:

f(x) = 6x+7

The derivative is

f'(x) = 6

Evaluated at  x=9

f'(9) = 6

Hitman42 [59]3 years ago
3 0

Answer:

6

Step-by-step explanation:

f(x) = 6x + 9

f'(x) = 6 at every point

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Exercise Plus charges a yearly fee of $75 plus $10 a month. Gym and Swim charges a yearly fee of $50 plus $15 a month. When , if
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Answer:

5 months will be the same cost at each gym.

Step-by-step explanation:

As

  • Exercise Plus charges a yearly fee of $75 plus $10 a month.
  • Gym and Swim charges a yearly fee of $50 plus $15 a month.

Let x by the number of months

75+10x=50+15x

10x=15x-25

-5x=-25

\frac{-5x}{-5}=\frac{-25}{-5}

x=5

Therefore, 5 months will be the same cost at each gym.

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2 years ago
How many quarts are there in 10 1/2 Gallons
umka2103 [35]
42 quarts is the answer
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2 years ago
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What is the expression of 3^9
nordsb [41]
Well, 3^9 is the same thing as
3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
So 3^9 is equal to 19,683
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3 years ago
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This table shows the results of a survey that asked a group of people what time of day their favorite TV show aired. What time c
irina1246 [14]

Based on the table (see attachment), the time which corresponds to the mode of this data set is: B. 9:00 P.M.

<h3>What is mode?</h3>

A mode simply refers to a statistical term that is used to denote the value that appears most often or occurs repeatedly in a given data set.

This ultimately implies that, a mode represents the value (number) with the highest frequency and this is 9:00 P.M with a frequency of 25.

Read more on mode here: brainly.com/question/542771

#SPJ1

6 0
2 years ago
A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t
Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}

Use the slope(m) and y-intercept (b) to write the equation:

\begin{gathered} y=mx+b \\  \\ y=0.22x+17.2 \end{gathered}A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\  \\ y=23.58 \end{gathered}Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\  \\ 58=x \end{gathered}Then, after 58 months the tree would be 29.96feet tall
3 0
1 year ago
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