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svetoff [14.1K]
3 years ago
15

Graph 2x+3y=1,470. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and

scan your work or you may use graphing technology.

Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0

Answer:

  • x-intercept: 735
  • y-intercept: 490

Step-by-step explanation:

See the attachment for a graph.

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The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 64 and 4. What is the length
Brilliant_brown [7]
Here, Ratio of corresponding length would be equal.
Let, Altitude = x
Then, 64 / x = x / 4
x² = 256
x = √256
x = 16

In short, Your Answer would be 16 units

Hope this helps!
8 0
3 years ago
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

P(5)=-300+600

P(5)=300

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

6 0
3 years ago
Maya runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes
Scilla [17]

Answer:

2.8 miles

Step-by-step explanation:

2.8 miles or minutes

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Select all the equations that are true when x = 6.
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Answer:

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Step-by-step explanation:

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