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katrin [286]
3 years ago
13

10x - 12y = 22 5x - 6y = 11 elimanation

Mathematics
2 answers:
lawyer [7]3 years ago
5 0

Answer:

This is an identity or infinite solutions

Step-by-step explanation:

10x - 12y = 22

5x - 6y = 11

-2(5x - 6y = 11 )

-10x + 12y = -22

10x - 12y = 22

0=0

Identity solution

julsineya [31]3 years ago
5 0

Answer:

2(5x - 6y = 11)= 10x - 12y = 22 so they are the same equation

Step-by-step explanation:

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Which of the following options have the same value as 2%, percent of 90?
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The right answer is Option B and Option E.

Step-by-step explanation:

Given value is;

2% of 90.

Percent can also be written fraction form, therefore, we can write it as;

\frac{2}{100}*90

If we divide the 2 the by 100, then it would become,

0.02*90

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\frac{2}{100}*90 and 0.02*90 have same value as 2% of 90.

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7x + 2 &gt; 30 <br><br> Help please
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Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations.
ki77a [65]

Answer:

The variance is  \sigma ^2  =25

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  21

     The sum of squares is SS =  500

Generally the variance is mathematically represented as

           \sigma ^2  = \frac{SS}{n- 1}

substituting values

          \sigma ^2  = \frac{ 500}{21- 1}

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4 0
3 years ago
In a G.P., the third term exceeds the first term by 16.
Tresset [83]

Answer:

Step-by-step explanation:

In a G.P, the nth term is given as

Un=ar^(n-1)

Where

a is first term

n is nth term

And r is common ratio

So in the question given above,

The third term exceed the first term by 16

i.e U3=U1+16

Where U1=a. First term

U3=a+16

Given also that, the sum if the third term and fourth term is 72.

Then U3+U4=72.

We are told to find common ratio (r)

U3=ar^3-1

U3=ar^2

Also, U4=ar^3

U3+U4=72

ar^2+ar^3=72

ar^2(1+r)=72. equation 1

Also for

U3=a+16

ar^2=a+16

ar^2-a=16

a(r^2-1)=16. From (x^2-y^2)=(x+y)(x-y)

Then,

a(r-1)(r+1)=16. Equation 2

Divide equation 2 by equation 1

a(r-1)(r+1)/ar^2(1+r) =16/72

Then a cancel a and (1+r) cancel (1+r)

So,

(r-1)/r^2=2/9

Cross multiply

9(r-1)=2r^2

2r^2-9r+9=0

Solving the quadratic equation

2r^2-6r-3r+9=0

2r(r-3)-3(r-3)=0

(r-3)(2r-3)=0

r-3=0. Or. 2r-3= 0

Then r=3 or r=3/2

8 0
3 years ago
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