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Vikentia [17]
4 years ago
12

Solve the system:

Mathematics
1 answer:
Orlov [11]4 years ago
3 0

Answer:

y=2,\ z=\frac{3}{5}

Step-by-step explanation:

Given the following system of equations:

\left \{ {{22-4y= 14} \atop {3y + 5z =9}} \right.

You can follow these steps to solve it using the Substitutiong method:

1. Solve for "y" from the first equation in order to finds its value:

22-4y= 14\\\\-4y= 14-22\\\\y=\frac{-8}{-4}\\\\y=2

2. Substitute the value for "y" into the second equation and solve for "z" in order to find its value. This is:

3(2) + 5z =9\\\\5z=9-6\\\\z=\frac{3}{5}

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A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then
Masja [62]
A.
\frac{7purple}{9total} *  \frac{2white}{8total}  \\  \frac{14}{72}  \\ =0.194
The denominator of the second number goes down one because you aren't replacing the initial marble pulled, making the amount of marbles in the bag go down, but not affecting the white count because you pulled a purple marble.
b.
\frac{2white}{9total} *  \frac{1white}{8total}  \\  \frac{2}{72}  \\ =0.278
The same can be said about the denominator for this problem, but not the numerator. The numerator must go down one number as well, because you already chose one white marble, taking one of the white marbles out of the bag, leaving you with one solitary, white marble.
c.
Chance of selecting two purple marbles:
<u />\frac{7purple}{9total} *  \frac{6purple}{8total}  \\  \frac{42}{72}  \\ =0.583
Chance of selecting two white marbles:
\frac{2white}{9total} * \frac{1white}{8total} \\ \frac{2}{72} \\ =0.278
<u>Chance of selecting two purple</u> vs. <em>Chance of Selecting 2 white:</em>
<u>0.583</u>><em>0.278</em>.
It is more likely to select 2 purple marbles.

Hope this helps!
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Which compound inequality could this graph be the solution
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Answer:

A. 3x+14≥ 2 or 1-x ≥-5

Step-by-step explanation:

the solutions should be x≥ -4 or x ≤6

and the right answer is :

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A. 3x+14≥ 2 or 1-x ≥-5

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