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stiv31 [10]
2 years ago
13

Solve each inequality

Mathematics
1 answer:
forsale [732]2 years ago
4 0

Answer:

  1. x > -2
  2. n ≤ -2 or n ≥ 8

Step-by-step explanation:

<h3>1.</h3>

Add 7x-2 to both sides and collect terms.

  2x +2 -6x +7x -2 > -4 -7x +7x -2

  3x > -6

  x > -2 . . . . . . . divide by 3

__

<h3>2.</h3>

Solve these one at a time, and form the union of the answers.

  1 +7n ≤ 15 . . . .given

  7n ≤ 14 . . . . . . subtract 1

  n ≤ 2 . . . . . . . divide by 7

__

  -2n -2 ≤ -18 . . . given

  -2n ≤ -16 . . . . . add 2

  n ≥ 8 . . . . . . . . divide by -2

The solution is n ≤ -2 or n ≥ 8.

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balandron [24]
Distance of A from cliff = 1500·arctan(30°) ≅ 723.5 ft

distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft
tanθ = 2455.6/1500 = 1.637
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6 0
3 years ago
G(x) = 3x + 1<br><br>f(x) = 2x - 5<br><br> Find g (f (x))​
sammy [17]

Answer:

g(f(x)) = 6x - 14

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Function Composition

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 3x + 1

f(x) = 2x - 5

<u>Step 2: Find</u>

  1. Substitute:                    g(f(x)) = 3(2x - 5) + 1
  2. Distribute 3:                  g(f(x)) = 6x - 15 + 1
  3. Combine like terms:    g(f(x)) = 6x - 14
6 0
3 years ago
Please help me I need it
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Answer:

A

Step-by-step explanation:

You use the quadratic equation and substitute these values from the equation given

a=1,b=5, c=2

Which gives you the value of option A

6 0
3 years ago
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Vesnalui [34]
3x=9
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This means that eqch can contains 3 balls
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neonofarm [45]

Answer:

Conjecture

Disjunction

Counterexample

Conjunction

Inductive reasoning

Conditional

Step-by-step explanation:

I used Quizlet and I knew most of them.

5 0
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Read 2 more answers
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