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2 years ago

14

For a game, 3 people are chosen in the first round. Each of those people chooses 3 people in the second round, and so on. How ma

ny are chosen in the sixth round?

1 answer:

Feliz [49]2 years ago

8 0

Answer:

18

Step-by-step explanation:

3

6

9

12

15

18

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Find the average rate of change for f(x) = x2 − 3x − 10 from x = 4 to x = 6. A) 5 Reactivate B) 7 C) 9 Reactivate D) 11

White raven [17]

Answer:Rate of change is 7

Option B is correct.

Step-by-step explanation:

We need to find the average rate of change for $f(x)=x^2-3x-10$ from x = 4 to x = 6

The formula used to find average rate of change is:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}$

Where b = 6 and x = 4

Finding f(6):

$f(x)=x^2-3x-10\\f(6)=(6)^2-3(6)-10\\f(6)=36-18-10\\f(6)=36-28\\f(6)=8$

Finding f(4):

$f(x)=x^2-3x-10\\f(4)=(4)^2-3(4)-10\\f(4)=16-12-10\\f(4)=16-22\\f(4)=-6$

Now Putting values:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}$

$Rate\,\,of\,\,change=\frac{8-(-6)}{6-4}\\Rate\,\,of\,\,change=\frac{8+6}{2}\\Rate\,\,of\,\,change=\frac{14}{2}\\Rate\,\,of\,\,change=7$

So, Rate of change is 7

Option B is correct.

Keywords: Rate of Change

Learn more about Rate of Change at:

#learnwithBrainly

8 0

2 years ago

You invest $3,756.00 and buy 100 shares of a company's stock. Their value increases by 12%. How much is each share worth?

Leto [7]

($3756/100)(100+12)/100

$37.56(1.12)

$42.0672

$42.07 (to nearest cent)

8 0

3 years ago

Read 2 more answers

Together, teammates Pedro and Ricky got 2673 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each

ioda

Answer:

Pedro got 1520 base hits and Ricky got 1243.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of base hits that Pedro got.

y is the number of base hits that Ricky got.

Pedro and Ricky got 2673 base hits last season.

This means that $x + y = 2763$

Pedro had 277 more hits than Ricky.

This means that $x = y + 277$

Replacing in the first equation

$x + y = 2763$

$y + 277 + y = 2763$

$2y = 2486$

$y = \frac{2486}{2}$

$y = 1243$

$x = y + 277 = 1243 + 277 = 1520$

Pedro got 1520 base hits and Ricky got 1243.

4 0

2 years ago

(pic inside) What is the approximate value of the function at x = 1?

Kay [80]

Answer: -2

Step-by-step explanation:

When x = 1, y = -2.

Hope it helps <3

6 0

3 years ago

There are 3 people pulling on an object, the first person pulls with a force of 226 newtons at a direction of 145 degrees the se

Alona [7]

Answer:

$R=883.74N$

Step-by-step explanation:

From the question we are told that:

Force 1 $F_1=226N$

Force 2 $F_2=331N$

Force 3 $F_3=377N$

Direction 1 $\theta_1=145 degrees \approx 35 \textdegree (2nd qudrant)$

Direction 2 $\theta_2=303 degrees \approx 57 \textdegree (3rd qudrant)$

Direction 3 $\theta_3=77 degrees$

Generally Resolving forces to X axis is mathematically given by

$\sum f_x=337cos77+331cos57+226sin35$

$\sum f_x=351.596N$

Generally Resolving forces to Y axis is mathematically given by

$\sum f_y=337sin77+331sin57+226cos35$

$\sum f_x=810.788N$

Generally the equation for Resultant force R is mathematically given by

$R=\sqrt{\sum f_x^2+\sum f_x^2}$

$R=\sqrt{351.596^2+810.788^2}$

$R=883.74N$

7 0

2 years ago