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sleet_krkn [62]
3 years ago
8

Is height over time that a football is thrown across the field an exponential function

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0
No if it was, the football would keep going up forever and keep going up faster as it was released
physics and common sense tells us that there is air resistance to slow the rise of the football

not exponential
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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

P(5)=-300+600

P(5)=300

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

6 0
3 years ago
Please please help I don’t understand
9966 [12]

Answer:

2x+3y= 1500

Step-by-step explanation:

8 0
3 years ago
Which part of the graph will the directrix pass through?
OLEGan [10]

Answer:

A

Step-by-step explanation:

I just did it

8 0
3 years ago
Type the correct answer in each box.<br><br> The value of x is °, and the value of y is <br> °.
Solnce55 [7]

Answer:

<h2>x = 60°, y = 50°</h2>

Step-by-step explanation:

We know: the angles measures in a triangle add up to 180°.

<em>(look at the picture)</em>

z + 50 + 60 = 180

z + 110 = 180    <em>subtract 110 from both sides</em>

z = 70°

x + 50 + 70 = 180

x + 120 = 180         <em>subtract 120 from both sides</em>

x = 60°

Angles x, y and z are on one side of a straight line. Therefore they add to 180°.

x + y + z = 180

60 + y + 70 = 180

y + 130 = 180         <em>subtract 130 from both sides</em>

y = 50°

4 0
3 years ago
Explain how to find the x-intercept of the graph of y = 4x - 2.
Vlad1618 [11]

There are two ways to do this. The first of which is the algebraic method. Plug in y = 0 and solve for x.

y = 4x - 2

0 = 4x - 2 ... y is replaced with 0

4x-2 = 0

4x-2+2 = 0+2 ... we add 2 to both sides

4x = 2

4x/4 = 2/4 .... divide both sides by 4

x = 1/2

x = 0.5

The x intercept is x = 1/2 or x = 0.5

--------------------------

The other approach is to graph the equation y = 4x-2, and mark where the line crosses through the x axis. You should find it crosses through x = 1/2 or x = 0.5; the x intercept as an ordered pair would be (1/2, 0) or (0.5, 0)

side note: the equation y = 4x-2 goes through the points (0,-2) and (1,2). You find this by plugging in x = 0 and x = 1 respectively to find the corresponding y values.

8 0
3 years ago
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