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DENIUS [597]
2 years ago
13

The team mascot shoots a rolled T-shirt from a special T-shirt cannon to a section of people in the stands at a basketball game.

The T-shirt starts at a height of 8 feet when it leaves the cannon and 1 second later reaches a maximum height of 24 feet before coming back down to a lucky winner.
If the path of the T-shirt is represented by a parabola, which function could be used to represent the height of the T-shirt as a function of time, t, in seconds?

f(t) = –16(t – 1)2 + 24
f(t) = –16(t + 1)2 + 24
f(t) = –16(t – 1)2 – 24
f(t) = –16(t + 1)2 – 24

Mathematics
2 answers:
vekshin12 years ago
5 0

Answer:

A

Step-by-step explanation:

f(t) = –16(t – 1)2 + 24

san4es73 [151]2 years ago
3 0
A.f(t) = –16(t – 1)2<span> + 24</span>
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The graphs below have the same shape. The equation of the blue graph is f(x) = 2x. Which of these is the equation of the red gra
Allisa [31]
The main thing you want to ask yourself is "What is the difference between the two graphs?"

As we can see, the graphs look identical in every way except that g(x) is lower than f(x).

This means that the graph is shifted down a certain amount.

If we look at the y-intercepts of the two functions, we see that f(x) has a y-intercept of 1, and g(x) has a y-intercept of -1.

This means that f(x) is two units lower than g(x).

The y-intercept of a function can be changed by adding or subtracting a number to the original function (in this case 2^{x}).

Because the graph f(x) is 2 lower than the graph of g(x), we can find g(x) by subtracting 2 from f(x).

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4 0
2 years ago
A share of stock in the Lofty Cheese Company is quoted at 251/4. Suppose you hold 30 shares of that stock, which you bought at 2
inn [45]
You'll make a profit of $150.
3 0
2 years ago
Modern Vehicles Company came up with two different plans for the next financial year. Plan Y: Increase vehicle production by 5%
ladessa [460]

Answer: plan Y will produce more vehicles after 4 years.

Step-by-step explanation:

1) Plan Y: Increase vehicle production by 5% every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term(years) in the sequence.

a represents the first term(number of vehicles in the present year) in the sequence.

r represents the common ratio.

From the information given,

a = 10000

r = 1 + 5/100 = 1.05

n = 4 years

Therefore, the sum of the vehicles produced in the first 4 years, S4 is

S4 = (10000 × 1.05^(4) - 1)/1.05 - 1

S4 = (10000 × 0.21550625)/0.05

S4 = 2155.0625/0.05

S4 = 43101 vehicles

2) Plan Z: Increase production by 300 vehicles every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 4 years

a = 10000

d = 300

Therefore, the sum of the first 4 terms, S4 would be

S4 = 4/2[10000 × 2 + (4 - 1)300]

S4 = 2[20000 + (3)300]

S4 = 2 × 20900

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6 0
2 years ago
Which represents the polynomial written in standard form?
pshichka [43]

Answer:

Option A.

Step-by-step explanation:

In order to write any polynomial in standard form, we need to check the degree of each term, then write each term in order of degree, from highest to lowest, left to right.

The given polynomial is

8x^2y^2-\dfrac{3x^3y}{2}+4x^4-7xy^3

Here, the combine degree of x and y in each term is 4.

If we arrange the terms according to the degree of x, then

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If we arrange the terms according to the degree of y, then

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Hence, the correct option is A.

3 0
2 years ago
Read 2 more answers
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denis-greek [22]

Answer:

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7 0
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