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3 years ago

-4 < -2x + 4 <12 How do you solve this compound inequality

Mathematics

1 answer:

Lelechka [254]3 years ago

3 0

Answer:

can you explain it more clear? ;)

Step-by-step explanation:

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To determine the number of trout in a lake, a conservationist catches 180 trout, tags them and throws them back into the lake.

GaryK [48]

The ratio of the trout with tags that are caught and the total trout with tags is first calculated.

r = 12 trout / 180 trout = 1/15

Then, we divide the number of trouts caught without tag by the value obtained above.

N = (48 - 12) / (1/15) = 540

Then, we add the number obtained above and 180.
T = 540 + 180 = 720

ANSWER: 720

3 0

3 years ago

Find the y intercept. I already found the slope is 9.

jeka57 [31]

The slope-intercept form: y = mx + b

We have the slope m = 9, therefore: y = 9x + b.

Next. We have the table:

x | -5 | -2 | 1 | 3 | 4 |

y |-46|-19| 8 |26|35|

(1, 8) → x = 1, y = 8

substitute the values of x and y to the equation:

8 = 9(1) + b

8 = 9 + b |-9

b = -1

Answer: y = 9x - 1 → y-intercept is -1.

8 0

3 years ago

Ben the camel drinks tea (so classy!). He drinks 405 liters of tea every 2 days. How many liters of tea does Ben drink every 6 d

Hoochie [10]

6/2=3
405*3= 1,215
hope this helps

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=Compare%20%5C%3A%20the%20%5C%3A%20graphs%20%5C%3A%20of%20%5C%5C%205x%20-%20y%20%3D%2012%20%5C%

fenix001 [56]

Answer:

<u>Given</u>

Equation 5x - y = 12

and

Inequality 5x - y > 12

<em>See the graphs attached</em>

To draw the graphs follow the rules we described in the previous questions.

1. Identify x-intercept and y-intercept and connect them to have the line.
2. Shade the region above or below the line for the inequality.

We see the only difference the expressions have is the equation or inequality symbols.

Equation symbol means the graph of the equation is a line.
Inequality symbol means the graph of this is a region above the same line, in our case the line is not a part of the covered region because it is "<".

We can state that the inequality excludes the line and includes only the region above the same line.

5 0

3 years ago

The least common multiple of two numbers is 40. The difference of the two numbers is 2.

Ulleksa [173]

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. So therefore, the numbers would be 2 and 4.

8 0

3 years ago