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2 years ago

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A fish leaps vertically upward from the surface of a lake at an initial speed of 9 meters per second. The height h, in meters, o

f the fish above the surface of the h = 9s − 4.9s2. Approximately how many seconds after the fish leaps will it hit the surface of the lake?
A) 2.0
B) 2.5
C) 3.0
D) 3.5

1 answer:

weeeeeb [17]2 years ago

5 0

The answer is A..................................................

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The function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website lau

Wittaler [7]

Answer:

$y = 30x+290$

Step-by-step explanation:

Given

$y=-x^2+65x+256$

Required

The linear function of a competitor's website

On day 1, both websites have the same subscribers.

This implies that:

$y=-x^2+65x+256$

Substitute: $x =1$

$y=-(1)^2+65*1+256$

$y=-1+65+256$

$y=320$

This implies:

$(x_1,y_1) = (1,320)$

On day 34, both websites have the same subscribers.

This implies that:

$y=-x^2+65x+256$

Substitute: $x =34$

$y=-(34)^2+65*34+256$

$y=-1156+2210+256$

$y=1310$

This implies:

$(x_2,y_2) = (34,1310)$

To calculate the linear function of the competitor, we have:

$(x_1,y_1) = (1,320)$

$(x_2,y_2) = (34,1310)$

Calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 -x_1}$

$m = \frac{1310 - 320}{34-1}$

$m = \frac{990}{33}$

$m = 30$

The equation is then calculated as:

$y = m(x - x_1) + y_1$

This gives:

$y = 30 * (x - 1) + 320$

Open bracket

$y = 30x - 30 + 320$

<em></em> $y = 30x+290$ <em> --- This represents the linear function of the competitor's website</em>

5 0

1 year ago

-2x-y=-9<br> 5x-2y=18<br> substitution

KIM [24]

$-2x-y=-9 \\
5x-2y=18 \\ \\
\hbox{solve the first equation for y:} \\
-2x-y=-9 \ \ \ |+2x \\
-y=-9+2x \ \ \ |\times (-1) \\
y=9-2x \\ \\
\hbox{substitute 9-2x for y in the second equation:} \\
5x-2(9-2x)=18 \\
5x-18+4x=18 \\
9x-18=18 \ \ \ |\div 9 \\
x-2=2 \ \ \ |+2 \\
x=4 \\ \\
y=9-2x=9-2 \times 4=9-8=1 \\ \\
\boxed{(x,y)=(4,1)}$

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2 years ago

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Jeremy opens a chocolate shop in the city. He pays $1,500 a month for rent and maintenance of the shop. The price of raw materia

KATRIN_1 [288]

Amount of money paid by Jeremy as rent and maintenance of shop per month = $1500
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Number of chocolates sold in boxes = 50 boxes
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Then
Total number of chocolates sold by Jeremy = 2400 + 600
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Now
Price of each chocolate = 7500/3000 dollars
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Price of 600 chocolates = 600 * (5/2) dollars
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Price of 12 chocolates = (1500/600) * 12
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Then
We can say that each box of chocolate should be sold at $30. All the loose chocolates should be sold at $2.5 each.

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2 years ago

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents th

Novay_Z [31]

Answer:

Step-by-step explanation:

I use 84+ CE

stat edit, then fill in the #s

then

vars 5

then

2'nd stat plot, on

then, click stat

Click arrow 1 time to the left to get to Calc

then click (4)(LinReg(ax+b))

then click enter 5 times

(y=-25.31428571x+1000.285714

y=-25.3x+1000.3

now, lets use computer:

y=-25.31(543)+1000.3

y=-12743.03

round to the biggest whole number )

this doesn't really work, so I will put 1999, 2000, 2001, 2002, 2003, 2004 instead of 0, 1, 2, 3, 4, 5 and do the same thing

now I get

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y=-25.3x+51603.5

now, lets use computer:

y=-25.3(543)+51603.5

y=37865.6

round to the biggest whole number:

y=37866

so, year 37866

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2 years ago

Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2 – x?

Sav [38]

For this case we have the following function:
$x ^ 4 + x ^ 3 - x ^ 2 - x
$
We can rewrite the function to identify the zeros of it.
When rewriting the function factoring we have: $x (x-1) (x + 1) ^ 2
$
Therefore, the zeros of the function are:
$x = 0

x = 1

x = -1$
Thus, the graph that contains intersections on the x axis in the points mentioned, will be the graph of the function.
Answer:
See attached image.

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2 years ago

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