All categories

1 year ago

3 |14-m| > 18 PLEASE HELPP

Mathematics

1 answer:

igor_vitrenko [27]1 year ago

5 0

we conclude that the inequality can be written as the compound inequality:

m < 8

m > 20

<h3></h3><h3>How to solve the inequality for m?</h3>

Here we have the inequality:

3*|14 - m| > 18

We want to isolate m, so we start by dividing both sides by 3:

|14 - m| > 18/3 = 6

Now we can decompose the inequality in two:

14 - m > 6

14 - m < - 6

Solving both for m, we get:

14 - 6 > m

14 + 6 < m

8 > m

20 < m

Then we conclude that the inequality can be written as the compound inequality:

8 > m

20 < m

If you want to learn more about inequalities:

brainly.com/question/25275758

#SPJ1

You might be interested in

Solve: 5/12 × 8/15=

Cerrena [4.2K]

Answer:0.5

Step-by-step explanation: If you flip the numbers and the continue to multiply them across and then divide them after you should get 0.5

8 0

3 years ago

The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are

melamori03 [73]

Answer:

66 coolers

Step-by-step explanation:

C = 0.005x² - 0.3x + 17

When C = $19

19 = 0.005x² - 0.3x + 17

19 - 17 = 0.005x² - 0.3x

2 = 0.005x² - 0.3x

0.005x² - 0.3x - 2 = 0

x = -b ± √b² - 4ac / 2a

= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005

= 0.3 ± √ 0.09 - (-0.04) / 0.01

= 0.3 ± √ 0.09 + 0.04 / 0.01

= 0.3 ± √ 0.13 / 0.01

= 0.3/0.01 ± √0.13/0.01

= 30 ± 0.36/0.01

x = 30 ± 36

x = 30 + 36 or 30 - 36

x = 66 or -6

Number of coolers can not be negative

Therefore, number of coolers produced when the cost is $19

is 66 coolers

3 0

2 years ago

Karla has spent $42 on food. She bought

Mandarinka [93]

Answer:

What is the question?

Step-by-step explanation:

4 0

2 years ago

Brian flips a fair coin 3 times. What is the probability of getting exactly 1 tail?

Leya [2.2K]

Answer:

1/3

Step-by-step

he flips the coin three time and there is one side so 1/3

3 0

3 years ago

The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours

Arada [10]

Answer:

The number of bacteria at initial = 187

Step-by-step explanation:

Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.

$\frac{dN}{dt} = k N$

$\frac{dN}{N} = k dt$

Integrating both side we get

㏑ N = k t + C ------- (1)

Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.

⇒ ㏑ 500 = 3 k + C -------- (2)

⇒ ㏑ 5000 = 10 k + C ------ (3)

⇒ ㏑ 5000 - ㏑ 500 = 7 k

⇒ ㏑ $\frac{5000}{500}$ = 7 k

⇒ ㏑ 10 = 7 k

⇒ k = 0.329

Put this value of k in equation (2),

⇒ ㏑ 500 = 3 × 0.329 + C

⇒ C = 5.23

Put this value of C in equation 1 we get,

⇒ ㏑ N = k t + 5.23

Initially when t = 0 , then

⇒ ㏑ N = 5.23

⇒ N = 187

Thus the number of bacteria at initial = 187

8 0

3 years ago