Which graph shows all the values that satisfy 2/gx +3>45/g

Mathematics

1 answer:

MissTica3 years ago

8 0

Answer:

In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Step-by-step explanation:

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SOS! Can some please help me!

Wewaii [24]

Answer:

8.9

Step-by-step explanation:

1. DE:BC=AD:AB

2. AD=AB+BD, but according to the conditions AB=5, then

AD=5+BD.

3. after the substitution DE=16; BC=9; AB=5 and AD=5+BD into the formula:

16:9=(5+BD):5;

$\frac{16}{9} =\frac{BD+5}{5};$

BD=80/9 - 5≈3.9.

4. if AD=AB+BD, then AD=5+3,9=8,9

8 0

3 years ago

Read 2 more answers

Han, his sister, his dad, and his grandmother step onto a crowded bus with only 3 open seats for a 42-minute ride. They decide H

aivan3 [116]

Answer:

Han= 24 minutes

His sister= 24 minutes

His Dad= 36 minutes

Grandmother= 42 minutes

Step-by-step explanation:

Please see attached picture for full solution.

Where the working split, see the right hand side.

The question states that Han's Dad sits 1.5 times as long as both Han and his sister. There could be 2 interpretations for this:

- Dad sits for 1.5 times of (Han and his sister)

- Dad sits for 1.5 times of Han and 1.5 times of Han's sister

I've done the working for both scenarios and found out that the 1st case cannot be true since Dad would've sat for 50.4 minutes when the bus ride is only 42 minutes! Moreover, there wouldn't be enough information to know how long Han and his sister sat for.

The second case is possible and it's working is on the right.

Feel free to ask if you have any enquiries :)