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Vlad1618 [11]
3 years ago
14

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

x) = 7x + 6 B. f(x) = 37x+6, g(x) = 7(3x+2) + 6 C. f(x) = 3x+2, g(x) = 7x + 6 D. f(x) = 7*+2, g(x) = 3x + 6​
Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

Answer:

C. f(x) = 3·x + 2, g(x) = 7·x + 6

Step-by-step explanation:

The given equations relates to the property of equality of values;

The given formula for the association between f(x) and g(x) is f(x) = g(x)

The given equation of two expressions is 3·x + 2 = 7·x + 6

By transitive property of equality, the two above equations are correct when f(x) = 3·x + 2 and g(x) = 7·x + 6

Therefore, the function that may be used to represent the equation is option C; f(x) = 3·x + 2, g(x) = 7·x + 6.

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According to statistics, a person will devote 34 years to sleeping and watching TV. The number of years sleeping will exceed the
Nata [24]

Let the number of years of watching TV be

x

.

The number of years sleeping exceeds the number of years watching TV by

18

. This means that the number of years sleeping is higher than the number of years watching TV by

18

and can be represented by

(x+18).

The total time is 34

years. So we can form the following equation and solve for the required values:

x+(x+18)=34

x+x+18=34

2x=34-18

2x=16

x=16/2

x=8

Thus, the number of years watching is 8

and the number of years sleeping is

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3 0
1 year ago
A regular triangular pyramid has a base area of 31.5 mm2
Yuri [45]

Answer:

maybe do the math

Step-by-step explanation:

7 0
3 years ago
An airliner travels 45 miles in 6 minutes. what is the speed in miles per hour?
Romashka-Z-Leto [24]
6 minutes/60minutes = 0.1 hrs
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3 years ago
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Write an equation for the sentence "The product of a number n and 7.7 equals 112.42." Solve for the variable.
pishuonlain [190]

Answer:

7.7n=112.42

n=14.6

Step-by-step explanation:

The product is the result obtained by multiplying two factors. Then, the sentence ""The product of a number n and 7.7 equals 112.42" can be expressed with the following equation:

7.7n=112.42

To solve for the variable "n", you has two apply the Division property of equality and divide both sides of the equation by 7.7

Therefore, the value of "n" is:

\frac{7.7n}{7.7}=\frac{112.42}{7.7}\\\\n=14.6

8 0
3 years ago
Given that (-4,2) is on the graph of f(x) find the corresponding point for the function -1/2f(x)
Aleks [24]

Answer:

The corresponding point is (-4.-1)

Step-by-step explanation:

we know that

The point (-4,2) is on the graph of f(x)

so

For x=-4

f(x)=2

therefore

For x=-4

-(1/2)f(x)=-(1/2)*2=-1

The corresponding point is (-4.-1)

8 0
3 years ago
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