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il63 [147K]
3 years ago
9

PLZ HELP WILL GIVE 50 POINTS - QUADRATIC APPLICATIONS

Mathematics
1 answer:
Contact [7]3 years ago
6 0

Answer:

The bird will be at a ground distance of 10.04 units away.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

Equation for the height:

The height of the bird after x seconds is given by:

h(x) = -0.114x^2 + 2.29x + 3.5

Which is a quadratic equation with a = -0.114, b = 2.29, c = 3.5.

When the bird is at its highest?

Quadratic equation with a < 0, and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04

The bird will be at a ground distance of 10.04 units away.

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nikitadnepr [17]

Answer:

\frac{5}{9}  \times  \frac{8}{11}  =  \frac{5 \times 8}{9 \times 11}  =  \frac{40}{99}  = 0.4040

7 0
3 years ago
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2 years ago
F(x) = 1/x g(x)=x-4 can you evaluate (g*f)(0) ? Why or why not?
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3 years ago
Emily, Carl and Antony altogether has 121 stamps. How many stamps doeas each of them have, if it is known, that Emily has 40% mo
Leviafan [203]

Answer:

Step-by-step explanation:

1. First, put together the information we have. Total = 121. Emily has 40% more than Carl, and Carl has 60% more than Antony.

2. Next, set each person as a variable. Antony = x. Carl = 1.6x. Emily = 1.4 times 1.6x.

3. Next, form an equation using these variables.

    x + 1.6x + (1.4 x 1.6x) = 121

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    4.84x = 121

    x = 25

4. Finally, plug in x to our previous variables in step #2 to find the number of stamps Emily and Carl have.

<u>Antony</u>: x = 25 stamps

<u>Carl:</u> 1.6x = 40 stamps

<u>Emily</u>: 1.4 times 1.6x = 56 stamps

By the way, is this for RSM? If so, I am working on that problem right now and I searched up the solution but couldn't find it, so I stumbled upon this. I hope this helped!

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Answer:

hope you understand the answers

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