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german
4 years ago
9

Solve quadratic equation by factoring x^2-6x+9=0

Mathematics
1 answer:
Ray Of Light [21]4 years ago
7 0
What you have to find is what numbers add to -6 and multiply to 9. these numbers would be -3 and -3 (-3+-3=-6, -3*-3=9). substitute these in for -6x as x^2-3x-3x+9=0. then factor out c and three to get x(x-3)-3(x-3)=0. x-3=0 in both cases, so x is three.
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Whats 2+2? im really struggling with this question, pls help
EleoNora [17]

Answer:

its 4

Step-by-step explanation:

1 2 3 4

hope i helped

8 0
4 years ago
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Must the difference between two rational numbers be a rational number? Explain
Alona [7]

Claim: The difference between two rational numbers always is a rational number

Proof: You have a/b - c/d with a,b,c,d being integers and b,d not equal to 0.

Then:

a/b - c/d ----> ad/bd - bc/bd -----> (ad - bc)/bd

Since ad, bc, and bd are integers since integers are closed under the operation of multiplication and ad-bc is an integer since integers are closed under the operation of subtraction, then (ad-bc)/bd is a rational number since it is in the form of 1 integer divided by another and the denominator is not eqaul to 0 since b and d were not equal to 0. Thus a/b - c/d is a rational number.

8 0
4 years ago
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Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio, si avanza medio kilómetro en bus y lo demás a pie ¿
Murljashka [212]

Answer:

Al estudiante le falta caminar \frac{1}{3} de kilómetro.

Step-by-step explanation:

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción \frac{2}{3} .

El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción \frac{1}{2}, por lo tanto un medio es la mitad de una cantidad.  Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:

\frac{1}{2} *\frac{2}{3}

Resolviendo:

\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}

Entonces, la distancia recorrida en bus es \frac{1}{3} de kilómetro.

Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:

\frac{2}{3} - \frac{1}{3}

Resolviendo:

\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}

<u><em>Al estudiante le falta caminar </em></u>\frac{1}{3}<u><em> de kilómetro.</em></u>

6 0
3 years ago
Simplify to create an equivalent expression <br> -4(-11 + 4n) -3(-2n + 9)
Marizza181 [45]

Answer:

-71 + 22n is the equivalent expression.

This is the simplified expression.

Step-by-step explanation:

4(-11 + 4n) -3(-2n + 9)

= -44 + 16n + 6n - 27

= -44 + 22n - 27

= -71 + 22n

7 0
3 years ago
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Write an explicit rule for the nth term of the sequence<br><br> 64,48,36,27
melisa1 [442]

Answer:

  • aₙ = 64(3/4)ⁿ⁻¹

Step-by-step explanation:

<u>Given sequence:</u>

  • 64, 48, 36, 27

<u>We can observe that:</u>

  • 27/36 = 3/4
  • 36/48 = 3/4
  • 48/64 = 3/4

This is a GP with the first term of 64 and common ratio of 3/4.

<u>The equation for the nth term is:</u>

  • aₙ = 64(3/4)ⁿ⁻¹
6 0
3 years ago
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