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Ilya [14]
3 years ago
15

Given that (3, 2, -6) and (-2, 5, 1) are solutions of two equations in a system of three linear equations, which of the followin

g is true about the system?
Mathematics
2 answers:
kakasveta [241]3 years ago
8 0

Answer:

Does anybody know the answer?

Step-by-step explanation:

yKpoI14uk [10]3 years ago
3 0

Answer: The system can be either inconsistent and independent or consistent and dependent

Step-by-step explanation:

You might be interested in
Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(
oee [108]

The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

<h3>What is polynomial equation?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

2x^3 +18x^2 - 18x - 162

The factor of the polynomial equation are given as,

2(x+ k)(x - k)(x +9)

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)

Take out the highest common factor to make the groups as,

2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)

Use the property of difference of the square for the (x²-3²) term as,

2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0
1 year ago
Eight trials are simulated. The results are shown in the table.
bezimeni [28]

Answer:

2.897

Step-by-step explanation:

Let us find the mean and variance for the sample first.

105 104 110 112

114 106 108 109

Mean = sum/8 = 108.5

Variance = 12

Std dev = sq rt of variance = 3.464

Std error = std dev/ sq rt n

since n =8, we get std error = 1.225

Since sample size is small, df =8-1 =7

For 95% confidence intervals, t critical value for two tailed=2.365

Margin of error = std error x t critical = 1.225(2.365)

=2.897


3 0
2 years ago
What fraction is <br><br>4 hours of a day<br><br>45 mins of an hour<br><br>240cm3 of a litre​
lesya [120]

4 hours of a day

1/6

45 mins of an hour

3/4

240cm3 of a litre​liter

240cm3=0.24l

6/25

8 0
3 years ago
How do rays AB and AC form a line and an angle
Softa [21]
Not enough detail! Your question is unanswerable!

-Apple Ware Answering Assistant
5 0
3 years ago
Read 2 more answers
Suppose someone tells you that she has a triangle with sides having lengths 2.2, 4.5, and 6.7. Is this a right triangle?
laila [671]
You can apply the Pythagorean theorem:
a^2 + b^2 = c^2
c is the longest side of the triangle
2.2^2 + 4.2^2 = 6.7^2
4.84 + 17.64 = 44.89
22.48 =/= 44.89
That is not a right triangle
6 0
2 years ago
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