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In-s [12.5K]
3 years ago
6

The solution set for all real numbers x such that 2x + 3 < 19 and 2x − 3 ≤ -7 is (, ].

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
7 0

Solve each inequality separately:

1. 2x+3

Subtract 3 from both sides of the inequality

2x+3-3

Divide the inequality by 2

x

2. 2x-3\le -7.

Add 3 to both sides of the inequality

2x-3+3\le -7+3,\\ \\2x\le -4.

Divide the inequality by 2

x\le -2.

3. The solution set for the system of two inequalities is

x\le -2

or in other words (-\infty,-2].

Answer: (-\infty,-2].

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Complete the table shown to the right for the population growth model for a certain country.
marta [7]

The size of the population increases when the growth rate is positive and

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The completed table is presented as follows;

\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \  K \\40.5&20.9&-2.255\%\end{array}\right]

Reasons:

The table is presented as follows;

\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \  K \\40.5&20.9&\end{array}\right]

The population in growth rate is given by the following formula;

P = a·(1 + r)ˣ

Where;

a = The initial population in 2003 = 40.5 million

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x = The number of years = 2029 - 2003 = 26

Therefore;

20.9 = 40.5 × (1 + r)²⁹

\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}

r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx  -0.02255

The population growth rate is r ≈ -0.02255 = -2.255 %

The completed table is therefore;

\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \  K \\40.5&20.9&-2.255\%\end{array}\right]

Learn more here:

brainly.com/question/25354980

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If I'm not wrong, it would be 147 combinations because 49*3=147
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