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goldfiish [28.3K]
3 years ago
9

The solution set of the inequality 2x − y > 2 consists of all the points __ ? the line __ ?

Mathematics
1 answer:
GalinKa [24]3 years ago
7 0

Answer:

  • b - below; y = 2x − 2

Step-by-step explanation:

  • 2x − y > 2
  • 2x - y + y - 2 > 2 + y - 2
  • 2x - 2 > y
  • y < 2x - 2

Solution is the points below the line y = 2x - 2

<u>Correct option is:</u>

  • b - below; y = 2x − 2
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A ball, dropped vertically, falls d metres in t seconds.
Sergio [31]

Answer:

455m

Step-by-step explanation:

We know that acceleration is acceleration due to gravity, which is 10m/s, and initial speed u=0m/s

Use the motion equation to find distance when t=10:

d=ut+(1/2)at²

d=0t+(1/2)(10)(10²)

d=500m

The distance travelled in the seven seconds following the first three = 500-45=455m

8 0
3 years ago
The number of boys in a club is 10 more than half the number of girls.
Sav [38]

Answer:

40 girls

Step By Step Explanation:

assume boys = y girls = x

y = 1/2x + 10

y = 30

30 = 1/2x + 10

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x = 20 *2 = 40

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6 0
2 years ago
Which one of these formulas describes the following sequence?<br><br> 1,5,12,22,35
kati45 [8]

We can find a formula for nth term of the given sequence as follows:

1, 5, 12, 22, 35

The 1st differences between terms:

4, 7, 10, 13

The 2nd differences :

3, 3, 3

Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: a n^2 + b n + c, where c is a constant. The coefficients a, b, and the constant c can be found.

We can form the following 3 equations with 3 unknowns a, b, c:

1 = a\cdot1^2 + b\cdot1 + c\\5 = \cdot2^2 + b\cdot2 + c\\12 = a\cdot3^2 + b\cdot3 + c

Solving for a, b, c, we get:

a = 3/2, b = -1/2, c = 0

Therefore, the nth term of the given sequence is:

\boxed{ a_n = \dfrac{3}{2}n^2- \dfrac{1}{2} n}

7 0
2 years ago
Solve for x : 3x - 24 = 81
hodyreva [135]

Answer:

3x - 24 = 81

3x = 81 + 24

3x = 105

x = 105 / 3

x = 35

Step-by-step explanation:

3 0
2 years ago
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The perimeter of a rectangular room is 60 feet. Let x be the width of the room (in feet) and let y be the length of the room (in
8090 [49]
8187+88282

Explaination: wjwnbenehehw
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2 years ago
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