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garik1379 [7]
3 years ago
7

1. Write the interval shown on the number line

Mathematics
1 answer:
shusha [124]3 years ago
3 0

Answer:

x\geq 5

\{x\  |\  x \geq 5\}   OR {5, 6, 7, 8, .....}

Step-by-step explanation:

First of all, let us have a look at the interval shown on the number line and try to understand it properly.

The number line shows positive numbers starting from 3 that means numbers indicated will be positive numbers.

The number highlighted starts from 5 and there is filled circle at 5.

So, 5 is included in the interval.

The arrow is from 5 towards 8 and so on..

That means Numbers greater than or equal to 5 are represented by the interval.

So, writing as an inequality

Let x represents one of the numbers.

Hence, inequality can be written as:

x\geq 5

Using the set notation:

\{x\  |\  x \geq 5\}

OR

{5, 6, 7, 8, .....}

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Find the x-intercepts for the parabola defined by the equation below. y = x2 - 9x + 18
8_murik_8 [283]

Answer:

Option D is the correct answer

Step-by-step explanation:

The x intercepts of the parabola are the solutions of the equation. These points can be determined either by graphical method or by solving the quadratic equation with any of the methods of solving a quadratic equation.

In order to use the graphical method, values of x are picked and substituted into the equation to get corresponding values of y. The y values are plotted against the x axis and the parabola (downward) is drawn. The points where it cuts the horizontal axis become the solutions of the equation

y = x^2 - 9x + 18

Solving the equation by using the factorization method,

x^2 - 9x + 18 = 0

x^2 - 6x - 3x + 18 = 0

x(x-6)-3(x-6)

(x-6)(x-3) = 0

x -6 = 0 or x -3 = 0

x = 6 or x = 3

The x-intercepts are (3, 0) and (6, 0)

8 0
3 years ago
Read 2 more answers
Been a while since I’ve needed to not use a calculator. Why is -2X10^-18 (3/16) = 4.09X10^-19?
Anestetic [448]

Answer:

see the explanation

Step-by-step explanation:

we have

2.18*10^{-18}(\frac{3}{16})

we have that

\frac{3}{16}=0.1875

Convert to scientific notation

0.1875=1.875*10^{-1}

substitute

2.18*10^{-18}(1.875*10^{-1}})

Remember that

To multiply two numbers in scientific notation, multiply their coefficients and add their exponents

2.18*10^{-18}1.875*10^{-1}}=(2.18*1.875)*10^{(-18-1)}=4.0875*10^{-19}

Round the number 4.0875 two decimal places

so

4.0875*10^{-19}=4.09*10^{-19}

8 0
3 years ago
The number of people attending the first basketball game of the season was 840. The number of people attending the last game of
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Answer:

Step-by-step explanation:

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                              = 42.85% rounded to nearest percent = 43% <==

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The picture below...
Flura [38]

Answer:

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