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gizmo_the_mogwai [7]
3 years ago
8

4 − (x + 2) < −3(x + 4)

Mathematics
1 answer:
exis [7]3 years ago
5 0

Answer:

x<−7

Step-by-step explanation:

This is an inequality, so you treat as a equation, but when you multiply or divide by a negative number, you flip the inequality.

1. Use distributive property

-x+2<-3x-12

2. Add 3x to both sides.

2x+2<−12

3. -2 from both sides

2x<−14

4. Divide by 2

x<−7

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7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent
Mazyrski [523]

The number of rows in the arena is 26

<h3>How to determine the number of rows?</h3>

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

  • First term, a = 220
  • Sum of terms, Sn = 10920
  • Common difference, d = 16

The number of rows (i.e. the number of terms) is calculated using:

S_n = \frac{n}{2}(2a + (n -1) * d)

So,we have:

10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)

Evaluate the terms and factors

21840 = n(440 + 16n -16)

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

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2 years ago
Given h(x) = 4x + 3, find h(-1)<br>​
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