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stellarik [79]
3 years ago
5

Evaluate: (d + 1)(d - 1 + 6) d = 2

Mathematics
1 answer:
Allisa [31]3 years ago
3 0
F(d)=(d+1)(d-1+6)
f(d)=(d+1)(d+5)
f(2)=(2+1)(2+5)
f(2)=(3)(7)
f(2)=21
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In a competition between players X and Y, the first player to win three games in a row or a total of four games wins. How many w
OLEGan [10]

Answer:

The competition can be played in 7 different ways

Step-by-step explanation:

First game : X

Second game : Y

Third game : Y

After that either X or Y can win

<h3>¹Case - 1: Y wins the fourth game:</h3>

The competition ends with Y winning as he/she won 3 games in a row

<h3>Case - 2: X wins the fourth game:</h3>

more games are required to decide the winner

<h3>Sub-case - a: X wins the fifth game:</h3>

more games are required to decide the winner

<h3>²Sub-sub-case - i: X wins the sixth game:</h3>

The competition ends with X winning as he/she won 3 games in a row

<h3>³⁻⁴Sub-sub-case - ii: Y wins the sixth game:</h3>

The competition ends after the seventh game. Whoever wins seventh game wins the competition as he/she would've won 4 games in total by then.

<h3>Sub-case - b: Y wins the fifth game:</h3>

more games are required to decide the winner

<h3>⁵Sub-sub-case - i: Y wins the sixth game:</h3>

The competition ends with Y winning as he/she won 4 games in total

<h3>⁶⁻⁷Sub-sub-case - ii: X wins the sixth game:</h3>

The competition ends after the seventh game. Whoever wins seventh game wins the competition as he/she would've won 4 games in total by then.

∴<u>The competition can be played in 7 different ways</u>

7 0
3 years ago
Your drawer contains 10 red socks and 7 blue socks. It's to dark to see which are which,but you grab two anyway.What is the prob
den301095 [7]
P(both red)=(10/17)(9/16)
P(both blue)=(7/17)(6/16)

P(both same)= sum of above 2 = (90+42)/(16*17)=132/(16*17)=<span>0.485

coz both same means  both blue or both red
</span>
4 0
4 years ago
Read 2 more answers
Point A is at (-2,-7) and point B is at (7,4).<br> What is the midpoint of line segment AB?
Lyrx [107]
Use the midpoint formula and solve. work pictured below

4 0
3 years ago
Let f(x) = x + 8 and g(x) = x2 − 6x − 7. find f(g(2)). −7 −3 10 33 open study
Ray Of Light [21]
F(g(2))

g(x) = x^2 - 6x - 7
g(2) = 2^2 - 6(2) - 7
g(2) = 4 - 12 - 7
g(2) = -15

f(x) = x + 8
f(g(2) = f(-15) = -15 + 8 = -7 <==

ur answer is -7
6 0
3 years ago
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Ksju [112]

Answer:

BF = 18

Step-by-step explanation:

In triangle BCD, H is the Centroid.

Centroid of a triangle divides the median in the ratio 2 : 1.

Therefore, BH : HF = 2 : 1

Let BH = 2x & HF = x

Since, HF = 6.... (given)

So, x = 6

2x = 2*6 = 12

BH = 12

Now,

BF = BH + HF = 12 + 6

BF = 18

7 0
3 years ago
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