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Taya2010 [7]
4 years ago
14

Solve the following system of equations: y=47+ 3x y=8+0.5x

Mathematics
1 answer:
bixtya [17]4 years ago
4 0

Answer:

3

.5

Step-by-step explanation:

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The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = −
marysya [2.9K]

Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

P(x)=-15x(x-8)

To find:

The current which will produce the maximum power.

Solution:

We have,

P(x)=-15x(x-8)

P(x)=-15x^2+120x

Differentiate with respect to x.

P'(x)=-15(2x)+120(1)

P'(x)=-30x+120      ...(i)

To find the extreme point equate P'(x)=0.

-30x+120=0

-30x=-120

Divide both sides by -30.

x=4

Differentiate (i) with respect to x.

P'(x)=-30(1)+(0)

P'(x)=-30 (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

7 0
4 years ago
A line passes through the point (5, 1) and is perpendicular to the x-axis. What is the slope of this line?
Rufina [12.5K]
No because if that happened they wouldn’t be able to do it again so yeah
7 0
3 years ago
Whats the reciprocal of <br> 4 3/7
Angelina_Jolie [31]

Answer

0.22580645161

Step-by-step explanation:

you just have to do 4 3/7 in a calculator

6 0
3 years ago
There are about 1.5 grams of fat in 1 tablespoon of hummus. How many grams of fat are in 2 1/2 cups of hummus? ( Note: 16. Table
grin007 [14]
2 and 1/2=2.5cups
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60 grams
8 0
4 years ago
Read 2 more answers
What is the solution of the system?
Phoenix [80]

Answer:

(-2, 6)

Step-by-step explanation:

We can simply do this by plugging in all of the coordinates. (I did this in my head quickly, so I know what it is; I'm just going to plug in the correct answer.) The correct answer is (-2, 6), so we're just going to plug them into the simplest equation, which is probably y=-3x. So...

6=-3(-2)

6=6

This answer is correct. If you're unsure about the answer, you can always check in the other equation. So...

3(-2)+2(6)=6

-6+12=6

6=6

Hope this helps and have an amazing day ^^

5 0
3 years ago
Read 2 more answers
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