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aleksandrvk [35]
3 years ago
8

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the

time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0

Answer:

1.5 - it represents the time in seconds where the ball is highest

Step-by-step explanation:

There are 2 methods of approaching this.

The first method involves graphing, simply place into a graphing calculator and view the vertex. The horizontal line coming down from the vertex is the axis of symmetry (it splits the parabola in half).

The second method is finding the axis of symmetry (vertex) algebraically.

-b/2a is the equation used to find the x term of the vertex, and if we were to substitute our values in, we'd get -48/-32, giving us 1.5

You might be interested in
If the odds against an event are 3:5, then the probability that the event will fail to occur is
damaskus [11]

Answer:

3/8

Step-by-step explanation:

probability = wanted outcomes / total outcomes

odds = wanted outcomes / unwanted outcomes

Odds of 3:5 losing means 3 losing outcomes and 5 winning outcomes.

The total outcomes is 8

The probability of losing which is the probability that the event will fail to occur is 3/8.

3 0
2 years ago
Just do number 3 and yeah that’s it
taurus [48]
75% my dude.........
3 0
3 years ago
Read 2 more answers
Find a formula for a function that has vertical asymptotes x = 2 and x = 7 and horizontal asymptote y = 2.
Pie
Hello : 

 

hello : <span>
1 ) if : x</span>ـــــــ> ± ∞  <span>
 limf(x)   = b     ....(b</span>∈R)     so : y=b is the equation of the line horizontal asymptote.

<span>
2) if : x</span>ـــــــ> a ...(a∈R)<span>
 limf(x)   = ± ∞  
<span>so : x=a is the equation of the line vertical asymptote.</span></span>

<span><span>hint : in this exercice : a = 2 or a = 7  but : b=2</span></span>

6 0
3 years ago
Geometry question, any help is appreciated
kodGreya [7K]

Answer:

Hence, the ratios are given by 5:7, 25:49, 125:343.

Step-by-step explanation:

We are given two spheres such that:

Volume of small sphere V_{s} = 250 yd^{3}

Volume of large sphere V_{l} = 686 yd^{3}.

Then the ratio of volume = 250 : 686 = 125 : 343.

Since, the volume of a sphere = \frac{4 \pi \times r^{3}}{3}, this gives us that the ratio of the radius = ∛V_{s} : ∛V_{l}

i.e. The ratio of the radius = ∛125 : ∛343 = 5 : 7.

Further, as the surface area of a sphere = 4 \pi \times r^{2}, this gives us that the ratioof surface area = r_{s} ^{2} : r_{l} ^{2}

i.e The ratio of the surface area = 5^{2} : 7^{2} = 25 : 49

So, the ratio of the surface areas = 25 : 49.

Hence, the ratios are given by 5:7, 25:49, 125:343.

4 0
3 years ago
Read 2 more answers
Mr. McKay wrote an algebra test with a total of 15 questions consisting of multiple choice and short response style questions. M
tankabanditka [31]

Step-by-step explanation:

x = number of multiple choice questions

y = number of short response questions

x + y = 15

5x + 10y = 100

=>

x + 2y = 20

let's subtract the first from the second equation :

x + 2y = 20

- x + y = 15

--------------------

0 y = 5

x + y = 15

x + 5 = 15

x = 10

to graph you need to consider both equations as linear functions. and you need to transform them into e.g. a slope intercept form : y = ax + b

a is the slope, b is the y- intercept.

x + y = 15

transforms to

y = -x + 15

this line goes e.g. through the points (0, 15) and (1, 14).

and

x + 2y = 20

transforms to

2y = -x + 20

y = -x/2 + 10

this line goes e.g through (0, 10) and (2, 9).

the crossing point of both lines is the solution and should therefore be the point (10, 5) as calculated above.

5 0
3 years ago
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