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Stella [2.4K]
2 years ago
11

PLZZZ HELPP 3+7 - 1/2 is an example of A. a numerical equation B. an algebraic equation C. a numerical expression D. an algebrai

c expression
Mathematics
1 answer:
podryga [215]2 years ago
5 0

Answer:

A. a numerical equation

Step-by-step explanation:

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A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32
olga2289 [7]

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

       32*t = 32

            t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

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Help me with this math question please I'm giving away brainliests​
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3 years ago
What is ____ of the x-intercept is
posledela
The answer is b. Y-coordinate.
I just looked it up.
8 0
3 years ago
Which of the following describes how to translate the graph of y = Ixl to obtain the graph of y = lx + 1l - 2?
Rom4ik [11]

Answer:

Shift left 1 and down 2

Step-by-step explanation:

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3 years ago
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