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Veronika [31]
3 years ago
6

Which table represents a linear function?

Mathematics
2 answers:
Oduvanchick [21]3 years ago
6 0
The first table because the y side is increasing at the same rate. the rate is 4
gregori [183]3 years ago
6 0

Answer: the thrid option is the correct answer

Step-by-step explanation:

i took the test

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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

4 0
3 years ago
A box shaped like a cube has edges that are 7.5 inc
Jet001 [13]
A box of what????? I don't get it
7 0
3 years ago
Solve for x.<br> 3x/y-4z=12
Nat2105 [25]
X= 4y+4/3yz this is they solution
7 0
3 years ago
Simplify (b^4)^3 A.B^9 B.B^3 C.B D.B^12
natulia [17]

(b^4)^3


To simplify when something is raised to two different exponents, multiply the two exponents together:

4 * 3 = 12

You now have b^12.


The answer is D.


6 0
3 years ago
Perform the indicated operation. 5 2/3 ÷ 2 1/8
bezimeni [28]

5 2/3 ÷ 2 1/8 = 17/3 ÷ 17/8 = 17/3 x 8/17 = 8/3 = 2 2/3

8 0
3 years ago
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