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ludmilkaskok [199]
3 years ago
9

50 POINTS. A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t)=

-16t^2 + 64t + 4, where t is measured in seconds and h is the height in feet. What domain makes sense for this function
Mathematics
2 answers:
Morgarella [4.7K]3 years ago
7 0

Answer:

The domain that makes sense for this function is all values greater than or equal to 0.

Step-by-step explanation:

A ball is thrown into the air from a height of 4 feet at time <em>t</em> = 0. It is modeled by the function:

h(t)=-16t^2+64t+4

The domain of the function is time <em>t</em>. The range of the function is the ball's height in the air <em>h</em>.

Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.

Therefore, the domain that makes sense for this function is all values greater than or equal to 0.

In interval notation, this is:

[0, \infty)

And as an inequality:

t\geq 0

o-na [289]3 years ago
5 0

Answer:

[0, 4.061)

Step-by-step explanation:

This is not the actual domain of the parabola, but instead the stretch of domain which is found in quadrant I of the x, y coordinate plane, where in the physical world the event would actually occur.

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100 POINTS (urgent) Write an equation of a line that passes through the point (2, 3) and is parallel to the line y =3/2X + 5
DIA [1.3K]

Answer:

C.  3/2x

Step-by-step explanation:

Firstly, we know that the slopes are the same because parallel lines have the same slope. Then we can find the y-intercept by using the slope and point in slope-intercept form.  

y = mx + b ---> plug in known values

3 = (3/2)(2) + b ---> Multiply

3 = 3 + b ---> Subtract 3 from both sides.  

0 = b

Since the intercept is 0, you will not see a number after the slope and x.

3 0
2 years ago
if a trip between work and home takes 15 minutes each way, how much time will be spent in a 5-day work week traveling back and f
Trava [24]
Hello there! Since the person goes there and back, we need to multipy 15(2)=30. 30(5)=150; therefore, the person spends 150 minutes. I hope I helped!
4 0
3 years ago
Read 2 more answers
you have between $2 and $5 to spend on gummy worms. You know that each gummy worm costs 0.04. What are the possible amounts of g
JulsSmile [24]
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6 0
3 years ago
Find the value of each determinant
Ksenya-84 [330]

Answer:

−4304

Step-by-step explanation:

1. The given determinant is :

\begin{vmatrix}7 &31 \\  142& 14\end{vmatrix}

We need to find its determinant . It can be solved as follows :

\begin{vmatrix}7 &31 \\  142& 14\end{vmatrix}=7(14)-142(31)\\\\=-4304

So, the value of determinant is equal to −4304.

6 0
2 years ago
Can y’all help me with this math problem please! I don’t understand
timama [110]

KL = 23

so you just have to add both of the segment lengths together.

each individual equation is already given in the image, so I'll substitute it out below:

JK + <u>KL</u> = JL

4x+2 +<u>4x+3</u> = 45

8x + 5 = 45

8x = 40

x = 5

BUT WE'RE NOT DONE. plug in 40 for the variable X:

KL = 4(5) + 3

KL = 20 + 3

KL = 23

now i'll check my answer really quickly:

23 + 4(5) + 2 = JL

23 + 20 + 2 = JL

23 + 22 =

45

therefore, KL is 23

3 0
3 years ago
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