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Nookie1986 [14]
2 years ago
6

PLEASE HELP MEE! the table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it tak

es to cyclist to complete a bicycle tour. which rational function best models the data in the table?

Mathematics
2 answers:
sergiy2304 [10]2 years ago
5 0

Answer:

The answer is D: 96/x

Step-by-step explanation:


Alla [95]2 years ago
3 0
By definition it is known that speed equals the distance between time.
 Therefore, according to the definition, the last two options are the possible answers:
 Let's evaluate the third option:
 y = (3/2) * (1 / x)
 x = 12
 y = (3/2) * (1/12) = 3/24 = 1/8
 The table is not fulfilled
 Let's evaluate the fourth option:
 y = (96 / x)
 x = 12
 y = (96/12) = 8
 Yes, the table is met.
 answer:
 y = (96 / x)
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The Leaning Tower of Pisa in Italy was built between 1173 and 1350. A. Write an equation in slope-intercept form for the yellow
mote1985 [20]

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

(x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

5 0
2 years ago
Triangles E F G and E prime F prime G prime are shown. Angles F E G and F prime E prime G prime are 72 degrees. Angles E F G and
Karolina [17]

Answer:

We need a non-included side of one triangle

Step-by-step explanation:

By means of the AAS postulate.

The Angle-Angle-Side postulate (AAS) tells us that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

3 0
2 years ago
"Our customer retention rate has decreased 10% from last quarter's goal of 250 consumers retained. We need to increase our curre
Lorico [155]
1. multiply 250 by 10% (250 * .1= 25)
2. Then subtract 25 from 250 (250 -25= 225)
2. Then multiply 225 by 16% (225 * .16 = 36)
3. Add 225 + 36 = 261. 
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6 0
2 years ago
Find the absolute maximum and absolute minimum of the function f(x,y)=2x2−4x+y2−4y+1 on the closed triangular plate bounded by t
marusya05 [52]

First check for the critical points of <em>f</em> by checking where the first-order derivatives vanish.

\dfrac{\partial f}{\partial x}=4x-4=0\implies x=1

\dfrac{\partial f}{\partial y}=2y-4=0\implies y=2

Notice how the point (1, 2) lies on the line <em>y</em> = 2<em>x</em> ; at this point, we get a value of <em>f</em>(1, 2) = -5 (MIN).

Next, check the points where the boundary lines intersect, which occurs at the points (0, 0), (0, 2), and (1, 2). We already checked the last one. We find <em>f</em>(0, 0) = 1 (MAX) and <em>f</em>(0, 2) = -3.

Now check on the boundary lines themselves. If <em>x</em> = 0, then

f(0,y)=y^2-4y+1=(y-2)^2-3

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If <em>y</em> = 2, then

f(x, 2)=2x^2-4x-3=2(x-1)^2-5

with a maximum of -5 when <em>x</em> = 1.

If <em>y</em> = 2<em>x</em>, then

f(x,2x)=6x^2-12x+1=6(x-1)^2-5

with the same maximum of -5 when <em>x</em> = 1.

6 0
2 years ago
Connor has seven more nickels than dimes and twice as many quarters as dimes. If he has $6.20, how many nickels does he have?
Novosadov [1.4K]
Connor has 16 nickels. If you have 9 dimes (90 cents) and you doubled it that would give you 18 quarters ($4.50). you have 7 more nickels than dimes, so you do 7+9 which equals 16 nickels (80 cents). 90+450+80=620.
8 0
2 years ago
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