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Liono4ka [1.6K]
3 years ago
12

Find three consecutive integers such that three times The largest increased by two is equal to five times the smallest increased

by three times the middle integer
Mathematics
1 answer:
rosijanka [135]3 years ago
7 0
a,a+1,a+2-\ three\ consecutve\ integers\\\\
3*(a+2)+2=5*(a+3)+3(a+1)\\\\
3a+6+2=5a+15+3a+3\\\\
3a+8=8a+18\ \ \ | subtract\ 3a\\\\
8=5a+18\ \ \ \ | subtract\ 18\\\\
-10=5a\ \ \ \ | divide\ by\ 5\\\\
a=-2\\\\Numbers\ are:\ \ -2,-1,0

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Use the graph below to determine a1 and d for the sequence. graphed sequence showing point 1, negative 10, point 2, negative 7,
Sonja [21]

Answer:

a_1=-10

d=3

Step-by-step explanation:

we know that                              

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference (d)

In this problem we have the ordered pairs

(1,-10),(2,-7),(3,-4),(4,-1),(5,2),(6,5)                      

Let                                          

a_1=-10\\a_2=-7\\a_3=-4\\a_4=-1\\a_5=2\\a_6=5

Find the difference between one term and the next

a_2-a_1=-7-(-10)=3              

a_3-a_2=-4-(-7)=3                  

a_4-a_3=-1-(-4)=3                        

a_5-a_4=2-(-1)=3                              

a_6-a_5=5-2=3                                                        

The difference between one term and the next is a constant        

This constant is the common difference                  

so                                                                                                                                  

The sequence graphed is an Arithmetic Sequence                    

therefore                                                                                    

The first term is a_1=-10                                    

The common difference is equal to d=3          

4 0
3 years ago
What is the solution to this system?
Elza [17]

Answer:

Equation Form: x=−2,y=−2

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

3/2x+1=−x−4

Solve 3/2x+1=−x−4

for x. x=−2

Evaluate y when x=−2.

y=−2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−2,−2)

The result can be shown in multiple forms.

Point Form:

(−2,−2)

Equation Form:

x=−2,y=−2

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2 years ago
Solve the system by elimination. First, clear the denominators.
NARA [144]

I am not smart ether lol

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