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SIZIF [17.4K]
2 years ago
8

What is the solution of the system of equations shown in the graph?

Mathematics
1 answer:
irina [24]2 years ago
4 0

Answer:

(5, - 6 )

Step-by-step explanation:

The solution to the system is at the point of intersection of the 2 lines.

The lines intersect at (5, - 6 ) , then

solution to system is (5, - 6 )

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A truck and a car go at the same time against each other from two cities, which are at a distance of 400 km from each other. If
ivann1987 [24]

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Step-by-step explanation:

7 0
3 years ago
Can you help me in write the perimeter of the triangle in a simplest form
Angelina_Jolie [31]

I got 6x+3



The three equations are:

(2x-6) + (3x+1) + (x+8) =perimeter

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-6+1+8= 3

8 0
3 years ago
Heart failure is due to either natural occurrences (89%) or outside factors (11%). Outside factors are related to induced substa
Firdavs [7]

Answer:

a) 11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.

b) 0.0871 = 8.71% probability that third patient with heart failure that enters the emergency room is the first one due to outside factors.

c) The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.

Step-by-step explanation:

We have these following probabilities:

89% probability that a patient has heart failure due to natural occurrences.

11% probability that a patient has heart failure due to outside factors.

A) What is the probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors?

We assume that causes of heart failure between individuals are independent, which means that the probabilities are the same for each patient. So:

11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.

B) What is the probability that third patient with heart failure that enters the emergency room is the first one due to outside factors?

First two due to natural occurrences, each with 89% = 0.89 probability.

Third due to outside factors, with 11% = 0.11 probability. So

0.89*0.89*0.11 = 0.0871

0.0871 = 8.71% probability that third patient with heart failure that enters the emergency room is the first one due to outside factors.

C) What is the mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors?

11% with outside factors, so the mean number of patients before the first with outside factors is given by

m = 1/0.11 = 9.09

The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.

4 0
3 years ago
The length,AB of the rectangular lot is 1 foot less than two times its width, BC. If the perimeter of the rectangular lot 394 fe
r-ruslan [8.4K]

Answer:

AB=131\ ft

Step-by-step explanation:

we know that

The perimeter of the rectangular lot is

P=2(AB+BC) ----> equation A

where

AB is the length

BC is the width

we have

AB=2BC-1 ---> equation B

P=394\ ft ----> equation C

substitute equation B and equation C in equation A

394=2(2BC-1+BC)

solve for BC

394=2(3BC-1)

394=6BC-2

6BC=396

BC=66\ ft

<em>Find the value of AB</em>

AB=2BC-1

AB=2(66)-1

AB=131\ ft

6 0
3 years ago
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