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3 years ago

Is Q the midpoint or PR? please justify the answer

Mathematics

1 answer:

mezya [45]3 years ago

6 0

Since PQ=PR
=> Q is the midpoint of PR
Hope this helps you

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Solve and show your work<br><br> 1. -3(x - 2) <1/3

Nutka1998 [239]

Answer:

x>17/9

Step-by-step explanation:

-3(x-2) < 1/3

-3x+6 < 1/3

-3x < 1/3-6

-3x < -17/3

x > 17/9

3 0

3 years ago

Find the average rate of change of the function between the given values of x. y = 9+ 5x + 0.5x2 between x = 2 and x = 4.

svet-max [94.6K]

Answer:

The average rate of change is 8.

Step-by-step explanation:

The formula to calculate the average rate of change of a function F(x) is:

$\frac{F(b)-F(a)}{b-a}$

In this case, F(x) = $0.5x^{2} +5x+9$

a=2 and b=4

You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.

In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:

F(b) = $(0.5)4^{2} + 5(4) +9= 37$

F(a) = $(0.5)2^{2} + 5(2)+9=21$

$\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8$

The answer is 8.

3 0

3 years ago

2abc - 3ab if a=2 b=-3 and c=4

Margarita [4]

2abc - 3ab ║ 2 (2) (3) (4) - 3 (2) (3)

You would multiply and the products - you are going to subtract
2 × 2 × 3 × 4 = 48
3 × 2 × 3 = - 18
-------
answer: 30

7 0

3 years ago

Read 2 more answers

.222222222 as a fraction Please help

statuscvo [17]

Answer:

222222222/1000000000

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The world famous gambler from Philadelphia, Senor Rick, proposes the following game of chance. You roll a fair die. If you roll

Orlov [11]

Answer:

You lose $0.833 while Rick gains $0.833, and so Rick is not Loco

Step-by-step explanation:

There are six numbers on a dice. Thus, probability of rolling exactly one number = 1/6

Probability of rolling two is 2/6.

Rolling a 1 pays $25, and probability = 1/6

Rolling a 2 pays $5,and probability = 1/6

Rolling a 3 pays $0, and probability = 1/6

Rolling a 4 or 5 pays -$10, and probability = 2/6

Rolling a 6 pays -$15, and probability = 1/6

Thus,lets calculate the expected value;

EV = (25 × 1/6) + (5 × 1/6) + (0 × 1/6) + (-10 × 2/6) + (-15 × 1/6)

EV = - $0.833

This means you lose $0.833 while Rick gains $0.833, and so Rick is not Loco.

7 0

3 years ago