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Bess [88]
3 years ago
5

Let f(x) = 2x - 7 and g(x) = -6x - 3. Find f(x) + g(x) and state its domain.

Mathematics
1 answer:
Ivanshal [37]3 years ago
5 0

Answer:

Step-by-step explanation:

f(x) + g(x) = 2x -  7 - 6x - 3

f(x) + g(x) = -4x - 10

The domain is any real number.

I think you have mixed up the question. None of the choices are correct. They look like they belong to another choice.

It could be f(x)*g(x)

(2x - 7) (-6x - 3)

-12x^2 - 42x - 6x + 32

-12x^2 - 48x + 21

Well it could be either A or C since they are identical.

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3 years ago
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For the differential equation dy/dt=ky, k is a constant, y(0)=24, and y(1)=18. What is the value of k?
Gre4nikov [31]

The equation is separable, so solving it is trivial:

\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt

Integrating both sides gives

\ln|y|=kt+C\implies y=e^{kt+C}=Ce^{kt}

Given y(0)=24 and y(1)=18, we find

24=C

18=Ce^k=24e^k\implies e^k=\dfrac34\implies k=ln\dfrac34

so the answer is E.

8 0
3 years ago
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Jerry is a judge. he hears 5 cases every 2 3/8 hours how many cases does he haer per hour
vampirchik [111]

Answer:

2 2/19

Step-by-step explanation:

5 cases in 2 3/8 hours

The unit rate of cases per hour is calculated by dividing the number of cases by the number of hours.

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7 0
3 years ago
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Please simplify this ITS URGENT !!
frutty [35]

Answer:

5 {x}^{2}  - 4x -  3

Step-by-step explanation:

(8 {x}^{2}  - 5x + 1) - (3 {x}^{2}  - x + 4) \\  = 8 {x}^{2}  - 5x + 1 -  3{x}^{2}  + x - 4 \\  = 5 {x}^{2}  - 4x - 3

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3 years ago
What is the measure of the radius of the cone in the diagram below? A cone has a height of 6 centimeters and diameter of 8 centi
konstantin123 [22]

Answer : 4 cm

Step-by-step explanation:

Hi, the radius of a cone is the radius of its circular base.

Since we know the diameter value (8 centimeters) we have ot apply the next formula:

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Replacing with the values given

8 = 2r

Solving for r:

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So, the radius of the cone is 4 centimeters.

Feel free to ask for more if needed or if you did not understand something.

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