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2 years ago

Choose the fraction(s) equivalent to the given fraction.

Mathematics

1 answer:

galben [10]2 years ago

5 0

Answer:

The Awnser is B

Step-by-step explanation:

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plz hurry!! A person standing close to the edge on top of a 108-foot building throws a ball vertically upward. The quadratic fun

Archy [21]

Answer:

The maximum height of the ball is 380.25 feet in the air.

Step-by-step explanation:

The quadratic function:

$h(t)=-16t^2+132t+108$

Models the ball's height h(t), in feet, above the ground t seconds after it was thrown.

We want to determine the maximum height of the ball.

Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.

Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:

$\displaystyle \left(-\frac{b}{2a},f\left(\frac{b}{2a}\right)\right)$

In this case, a = -16, b = 132, and c = 108. Find the t-coordinate of the vertex:

$\displaystyle t=-\frac{132}{2(-16)}=-\frac{132}{-32}=\frac{33}{8}=4.125$

So, the maximum height occurs after 4.125 seconds of the ball being thrown.

To find the maximum height, substitute this value back into the equation. Thus:

$h(4.125)=-16(4.125)^2+132(4.125)+108=380.25\text{ feet}$

The maximum height of the ball is 380.25 feet in the air.

5 0

3 years ago

Let f(x)=x^2 and g(x)=x-3 evaluate (gof)(0)

Whitepunk [10]

$g\circ f=g(f(x))\\\\
g\circ f=x^2-3\\
(g\circ f)(0)=0^2-3=-3$

4 0

3 years ago

HELP ME PLZ !,!!!!!!!

Alekssandra [29.7K]

Domain:0,3,3,4,4
Range:-2,-2,1,2,4
2) domain-4,-3,0,4
Range: -3,-4,0,4
3) not a function
4)is a function

4 0

3 years ago

Which function matches this graph?

disa [49]

Answer:

$\large\boxed{\sf f(x) = x^2-6x+9}$

Step-by-step explanation:

We are here given a graph of a equation and we are interested in finding the equation .

From the given graph we can see that it cuts the x axis at point (3,0) . This graph represents a quadratic function and its two zeroes are 3,3 . We can write the equation using the two zeroes .

Say if the zeroes of the quadratic equation are p and q , then the quadratic equation can be written as ,

$\longrightarrow (x-p)(x-q)=0$