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4 years ago

2x-y+z=9 x+y-2z=-1 -x+2y+2z=-5

Mathematics

1 answer:

slega [8]4 years ago

3 0

X=3
Y=-2
Z=1

Hope this helps.

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The probability that Paul wins a raffle is given by the expression n/n+6. Write down an expression, in the form of a combined si

Elza [17]

Answer:

$P(W') = \frac{6}{n+6}$

Step-by-step explanation:

Let P(W) represents the probability that Paul wins

Let P(W') represents the probability that Paul does not win

Given

$P(W) = \frac{n}{n+6}$

Required

$P(W')$

In probability, the sum of opposite probability equals 1;

This implies that

$P(W) + P(W') = 1$

Substitute $P(W) = \frac{n}{n+6}$ in the above equation

$P(W) + P(W') = 1$ becomes

$\frac{n}{n+6}+ P(W') = 1$

Subtract $\frac{n}{n+6}$ from both sides

$\frac{n}{n+6} - \frac{n}{n+6} + P(W') = 1 - \frac{n}{n+6}$

$P(W') = 1 - \frac{n}{n+6}$

Solve fraction (start by taking the LCM)

$P(W') = \frac{n + 6 - n}{n+6}$

$P(W') = \frac{n - n + 6}{n+6}$

$P(W') = \frac{6}{n+6}$

Hence, the probability that Paul doesn't win is $P(W') = \frac{6}{n+6}$

6 0

3 years ago

What is the vertex of the graph of the function f(x) = x2 − 4x?

Vsevolod [243]

Answer:

(2, -4).

Step-by-step explanation:

x^2 - 4x

= (x - 2)^2 - 4.

So the vertex is at

(2, -4).

6 0

3 years ago

Read 2 more answers

Factories <img src="https://tex.z-dn.net/?f=8xyz%20-%2010axy" id="TexFormula1" title="8xyz - 10axy" alt="8xyz - 10axy" align

marissa [1.9K]

Answer:

(4z-5a)(2xy)

Step-by-step explanation:

8xyz-10axy

Check for similar terms/like terms

x and y are the same.

The hcf or highest common factor is 2.

The z and a are not common in both terms.

Factor.

8xyz-10axy

2xy(4z-5a)

(4z-5a)(2xy)

8 0

3 years ago

Please helpppppppp meee

Alexeev081 [22]

Answer: 192 cm^2

Step-by-step explanation:

With parallelograms like this, you an just multiply the width and length to find the area. If you cut the shape up in a certain way, it would make a rectangle, so the formula length*width=area would also apply to parallelograms.

4 0

4 years ago

Between which two consecutive whole numbers does the square root of 7 lie

Montano1993 [528]

Hmm

7
look at perfect squer befre and after
4=2^2
9=3^2

4<7<9
therefor
√4<√7<√9
2<√7<3

between 2 and 3

8 0

3 years ago