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pashok25 [27]
2 years ago
12

8. Solve the system of equations shown by substitution.

Mathematics
1 answer:
Radda [10]2 years ago
7 0

Answer:

J. (2, -3)​

Step-by-step explanation:

1. Substitute y = x - 5 in for y in the other equation:

5x + 2(x - 5) = 4

2. Simplify:

5x + 2x - 10 = 4 (distributed the 2)

7x - 10 = 4

3. Isolate for x:

7x - 10+10 = 4+10

7x = 14

7x/7 = 14/7

x = 2

4. Plug the new x value into an equation and solve for y:

y = 2 - 5

y = -3

hope this helps!

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"The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N obj
Liula [17]

<u>Options</u>

  • Counting rule for permutations
  • Counting rule for multiple-step experiments
  • Counting rule for combinations
  • Counting rule for independent events

Answer:

(C)Counting rule for combinations

Step-by-step explanation:

When selecting n objects from a set of N objects, we can determine the number of experimental outcomes using permutation or combination.

  • When the order of selection is important, we use permutation.
  • However, whenever the order of selection is not important, we use combination.

Therefore, The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is not important is called the counting rule for combinations.

7 0
3 years ago
What fraction divided by 2/3=3/4?
e-lub [12.9K]
2/3 divided by 1/2 equals 3/4.

So your answer would be 1/2.
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4 0
3 years ago
In a city the distance between the libary and the police station is 3 miles less than than the distance between the police stati
Mademuasel [1]

Answer:

8 miles

Step-by-step explanation:

Given

<em>Represent the police station with P, Library with L; Fire station with F</em>

<em>The first statement can be represented as:</em>

<em></em>L - P = P - F - 3

<em>The second can be represented as:</em>

L - P = 5

Required

Determine the distance between the police station and the fire station (P - F)

L - P = P - F - 3 --- (1)

L - P = 5 --- (2)

Substitute 5 for L - P in (1)

5 = P - F - 3

Add 3 to both sides

3 +5 = P - F - 3 + 3

3 +5 = P - F

8= P - F

P - F = 8

5 0
3 years ago
Which equation gives the line shown on the graph?
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y = ½ x + 4

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4 0
3 years ago
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y = Acos(Bx) + D;

D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5

WE get y = 2cos(16/5x) + 4

4 0
2 years ago
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