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AfilCa [17]
3 years ago
11

Write two expressions to show a number increased by 11 ​

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

0+11=11

14+11=25

Step-by-step explanation:

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Which of the following best describes the line that divides a design so that
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Slope = 5/2 y-intercept = 0
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What was one factor that caused the British to surrender at Yorktown?
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Solve the following equation for x.<br> 5/8x +4 = 3/8x +12
liberstina [14]

Answer:

x=32

Step-by-step explanation:

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The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by: P(x)=-12x^2 +12
Minchanka [31]

Given:

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

P(x)=-12x^2+120x

To find:

The current that will produce the maximum power.

Solution:

We have,

P(x)=-12x^2+120x

Here, leading coefficient is negative. So, it is a downward parabola.

Vertex of a downward parabola is the point of maxima.

If a parabola is f(x)=ax^2+bx+c, then

Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

In the given function, a=-12 and b=120. So,

-\dfrac{b}{2a}=-\dfrac{120}{2(-12)}

-\dfrac{b}{2a}=-\dfrac{120}{-24}

-\dfrac{b}{2a}=5

Putting x=5 in the given function, we get

P(5)=-12(5)^2+120(5)

P(5)=-12(25)+600

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P(5)=300

Therefore, 5 watt current will produce the maximum power of 300 amperes.

6 0
3 years ago
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