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Readme [11.4K]
3 years ago
6

HELP QUESTION NUMBER FOUR

Mathematics
1 answer:
enyata [817]3 years ago
5 0

Answer:

x = -1 and y = -1.

Step-by-step explanation:

The given system of equations are :

y = 4x + 3 ....(1)

y = -x - 2 ....(2)

From equation (1) and (2) :

4x + 3 = -x - 2

Taking like terms together,

4x + x = -3 -2

5x = -5

x = -1

Put the value of x in equation (1)

y = 4(-1) + 3

= -1

The solution is also shown in the attached figure. Hence, the solution is x = -1 and y = -1.

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Question 18
ira [324]

Answer:

The function which represents this sequence will be:

a_n=-15n+110

Hence, option (A) is true.

Step-by-step explanation:

Given the sequence

95, 80, 65, 50, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

80-95=-15,\:\quad \:65-80=-15,\:\quad \:50-65=-15

As the difference is the same, so

d = -15

as

a_1=95

Thus, substituting d = -15, a_1=95 in the nth term of an arithmetic sequence

a_n=a_1+\left(n-1\right)d

a_n=-15\left(n-1\right)+95

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Therefore, the function which represents this sequence will be:

a_n=-15n+110

Hence, option (A) is true.

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