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Volgvan
3 years ago
8

Solve the system of equations using the substitution method 4x-y=5 x+y=10

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0
Ok so if 4x-y=5 then x+y=10 thats the answer
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How many positive four-digit integer palindromes have 12 as the sum of the digits of the number?
Sindrei [870]
2442
2+4+4+2=12

3333
3+3+3+3=12

1551
1+5+5+1=12

4224
4+2+2+4=12

5115
5+1+1+5=12

6006
6+0+0+6=12

The answer is 6
8 0
3 years ago
Consider the arithmetic sequence 13, 24, 35, ....
Nostrana [21]

Answer:  27

Step-by-step explanation:

The given sequence : 13, 24, 35, ....

Here, first term : a= 13

Common difference: d=24-13 =11

The nth term of arithmetic sequence is given by :-

a_n=a+(n-1)d

It is given that the nth term is 299, so put a_n=299, a=13 ; d=11

299=13+(n-1)11

Subtract 13 from both sides , we get

286=(n-1)11

Divide both sides by 11, we get

26=n-1

Add 1 on both sides , we get

n=27

Hence, the value of n= 27

4 0
3 years ago
If (3-4i) (x+iy) = 3 root 5<br> show that x^2 + y^2=9/5
NNADVOKAT [17]

Answer:

the answer is 2 + i.

Step-by-step explanation:

Let the square root of 3 + 4i be x + iy.

So (x + iy) (x +iy) = 3 +4i

=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i

=> x^2 – y^2 + 2xyi = 3 + 4i

Equate the real and complex terms

=> x^2 - y^2 = 3 and 2xy = 4

2xy = 4

=> xy = 2

=> x = 2/y

Substitute in

=> x^2 - y^2 = 3

=> 4/y^2 - y^2 = 3

=> 4 – y^4 = 3y^2

=> y^4 + 3y^2 – 4 = 0

=> y^4 + 4y^2 – y^2 – 4 =0

=> y^2(y^2 + 4) – 1(y^2 + 4) =0

=> (y^2 – 1) (y^2 + 4) =0

Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.

Therefore y = 1 and x = 2/1 = 2

The required square root of 3 + 4i is 2 + i.

5 0
3 years ago
the number of a certain company’s video stores can be approximated by the linear equation y=-264x+4682, where x is the number of
kogti [31]
This problem is incomplete, but I think I know the probable question. Normally, you should have been given the target number of the company's video stores, so that you can replace the value of y and solve for x. Once you solve for x, you add this to year 1990 then you can solve for the year at which you can reach your target value. Suppose y = 3500 stores.

3500 = -264x + 4682
3500 - 4682 = -264x
-1182 = -264x
x = 4.48 years

Technically, that is equal to 4 years. Hence, the year would be 1990+4 = 1994.
8 0
4 years ago
What is the range of U.S. property tax rates?
AURORKA [14]

2020: In 2020 the average single-family home in the United States had $3,719 in property taxes, for an effective rate of 1.1%.

4 0
3 years ago
Read 2 more answers
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