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aksik [14]
3 years ago
8

Find the values forX, Y, and Z so that all the following statements are true.

Mathematics
1 answer:
kvasek [131]3 years ago
8 0

Answer:

x = -36, y = 6, z = -6

Step-by-step explanation:

The requirement x/z = -z means x = -z².

The requirement x/y = z means x = yz.

These two requirements together mean yz = -z², or y = -z.

The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).

Using z=-6, we have x = -z² = -36; y = -(-6) = 6.

For some positive integer n, ...

... x = -36n², y = 6n, z = -6n.

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liraira [26]
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4 0
2 years ago
Can someone help me with this question? Thank you!
Harrizon [31]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's evaluate ~

The given expression is :

\qquad \sf  \dashrightarrow \:4x + 8

plug the value of x as 3

\qquad \sf  \dashrightarrow \:4(3) + 8

\qquad \sf  \dashrightarrow \:12 + 8

\qquad \sf  \dashrightarrow \:20

Therefore, the required value is 20

8 0
2 years ago
Dave wants to buy a new collar for each of his 3 dogs. The collars come in a choice of 6 different colors. 1. How many selection
damaskus [11]

Answer:

1: 216 selections

2: 120 selections

Step-by-step explanation:

1:

we have 6 different colors and we can choose the same color repeatedly, so for each of the 3 dogs, we have 6 possibilities, so the number of combinations is 6*6*6 = 216 selections.

2:

we have 6 different colors and we can't repeat a color, so the first collar has 6 possibilities, the second has 5 possibilities (one color was already chosen), and the third collar has 4 possibilities (two already chosen), so the number of selections is 6*5*4 = 120.

3 0
3 years ago
Prime factorization of 1050
Shkiper50 [21]
The Prime Factorization of 1050: 2*3*5^2*7<span />
7 0
3 years ago
Your friend is graphing the point (4, 3). She plans to start at the origin and go up 4 spaces. Which statement about her method
goldfiish [28.3K]
The true statement about her method would be to start at the origin. But you would go up 4 spaces you would go to the right 4 spaces.
7 0
3 years ago
Read 2 more answers
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