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alexandr1967 [171]
1 year ago
6

Assume f(x) = g(x). Which of the following pairsof functions may be used to represent theequation 3^x+^2 = 7x + 6?

Mathematics
1 answer:
Aloiza [94]1 year ago
4 0
Functions and equations

We have that:

3^{x+2}^{}=7x+6

Let's name each side of it with f(x) and g(x):

Then, we have that:

\begin{gathered} f(x)=3^{x+2} \\ \text{and} \\ g\mleft(x\mright)=7x+6 \end{gathered}

Then, the answer is C

<h2>Answer: C</h2>

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Area of circle with diameter of 1 m?
Elena-2011 [213]

Answer:

A = 0.785m²

B = 31400cm²

C = 7850cm²

D = 785,000mm²

Step-by-step explanation:

To solve this question, we'll have to find the area of a circle which is

Area of a circle = πr²

1. The diameter of the circle = 1m

Area of a circle = πr²

r = radius of the circle

π = 3.14

Radius = diameter / 2

Radius = 1 / 2 = 0.5m

Area = 3.14 × (0.5)²

Area = 3.14 × 0.25

Area = 0.785m²

2. Radius = 100cm

Area of a circle = πr²

Area = 3.14 × (100)²

Area = 3.14 × 10000

Area = 31400cm²

3. Diameter = 100cm

Area = πr²

Radius = diameter / 2

Radius = 100 / 2

Radius = 50cm

Area = πr²

Area = 3.14 × (50)²

Area = 3.14 × 2500

Area = 7850cm²

4. Radius = 500mm

Area = πr²

Area = 3.14 × (500)²

Area = 3.14 × 250,000

Area = 785,000mm²

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3 years ago
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Below, the two-way table is given for a<br> class of students.<br> Please HELP ME!!!!!!!!
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Pretty sure it’s 20%
7 0
2 years ago
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Solve for n 36=13n-4n​
Lana71 [14]

Answer:

n = 4

Step-by-step explanation:

36 = 13n - 4n

<=> 36 = (13-4).n

<=> 36 = 9n

<=> n = 36 / 9

<=> n = 4

8 0
3 years ago
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A table titled Number of Dogs Adopted has entries 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9. The total is 13
saw5 [17]

Answer:

1) Mean = 6.28

2) Median = 7

3) Mode = 8

4) Range = 6

Step-by-step explanation:

We need to find Mean, Median, Mode and Range of data given in tables.

1) Mean

The formula used to calculate mean is: Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}

The data given is: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Sum of all data points = 132

Number of data points = 21

Finding mean:

Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{132}{21}\\Mean=6.28

So, Mean = 6.28

2) Median

The formula used to calculate median is: Median=\frac{n+1}{2}\:th\: term because we have n = odd

Number of data points n = 21

Putting values and finding the position of median term

Median=\frac{n+1}{2}\:th\: term\\Median=\frac{21+1}{2}\:th\: term\\Median=\frac{22}{2}\:th\: term\\Median=11\:th\:term

So, in the given data : 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The 11 th term is 7

So, Median = 7

3) Mode

The mode is the most repetitive value of data set.

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The most repetitive value is 8

So, Mode = 8

4) Range

The range can be calculated using formula: Range=Maximum\:Value-Minimum\:Value

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Maximum value = 9

Minimum value = 3

So, the range is:

Range=Maximum\:Value-Minimum\:Value\\Range=9-3\\Range =6

So, Range = 6

3 0
3 years ago
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Michael runs a distance of 5 1/4 miles in 45 3/4 minutes during a fade. At this rate, what is Michaels average speed in miles pe
ad-work [718]

Answer: Micheal's average Speed =6.885 miles per hour

Step-by-step explanation:

Speed= Distance /time

Given the distance he ran as  = 5 1/4 miles

And Time taken = 45 3/4 minutes

changing to hours becomes

60 mins = 1 hour

45 3/ 4 mins = 45 3/4 mins/ 60mins x 1hour

= 45.75 /60 =  0.7625hours

Therefore Micheal's average Speed= Distance /time

             =5 1/4miles / 0.7625hours = 5.25/ 0.7625

              =6.885 miles per hour

approximately 7 miles/hour.

3 0
3 years ago
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