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GaryK [48]
3 years ago
15

Given the function f(x) = 4x + 10 and g(x), which function has a greater slope? x g(x) 2 5 4 7 6 9

Mathematics
1 answer:
Alborosie3 years ago
6 0

Answer:

Function f(x) has slope 4, which is greater.

Step-by-step explanation:

Next time please present your data in tabular form:

x g(x)

2   5

4   7

6  9

From this table it is immediately evident that if x increases by 2, y increases by 2 also.  Thus, the slope of the line is m = rise / run = 2 / 2 = 1, for function g(x).  Function f(x) has slope 4, which is greater.

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Consider dealing a hand of 8 cards from a well shuffled standard deck of playing cards. The expected value of the number of face
zzz [600]

Answer:

2 face cards

Step-by-step explanation:

By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards.  Aces are not considered face cards (no face on the card).

The ratio of face cards in a full deck is (12/52) or slightly over 23%.

The likelihood of a face card in a hand of 8 cards is:

(8 cards)*(12 face cards/52 cards) = 1.85 cards.  We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.  

8 0
2 years ago
a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane
Setler79 [48]

Answer: 336.80 miles, 15.85^{\circ} North of east

Step-by-step explanation:

Given

Plane lands at a point 324 miles east and 92 miles north

Distance is given by using Pythagoras theorem

\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}

Direction is given by using figure i.e.

\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}

Direction is 15.85^{\circ} North of east

7 0
3 years ago
Six less than a number is twenty
nignag [31]

Answer:

the start numbew woould be 26

Step-by-step explanation:

6 less than 26 is 20

6 0
2 years ago
Read 2 more answers
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defon

Answer:

53

Step-by-step explanation:

c=42+11

c=53

5 0
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Solve the following equation. Round to the nearest hundredth.
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