1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Irina-Kira [14]
3 years ago
13

How do i solve this inequality? -2|3m|+3<-51

Mathematics
1 answer:
9966 [12]3 years ago
4 0

Answer:

m >9  or      m < -9

Step-by-step explanation:

-2|3m|+3<-51

Subtract 3 from each side

-2|3m|+3-3<-51-3

-2|3m|<-54

Divide each side by -2, remembering to flip the inequality

-2|3m|/ -2>-54/-2

|3m|> 27

To get rid of the absolute values, we separate into two inequalities, one as written and one negative, remembering to flip the inequality

3m >27  or     3m <-27

Divide by 3 on each side

3m/3 >27/3  or     3m/3 <-27/3

m >9  or      m < -9

You might be interested in
Simplify the expression: –5(–6 + 2c)
DedPeter [7]

Steps to solve:

-5(-6 + 2c)

~Distribute

30 - 10c

Best of Luck!

3 0
4 years ago
Read 2 more answers
A population of rabbits has 20 offspring per pair of rabbits. a population of cheetahs has 2 offspring per pair of cheetahs. whi
zvonat [6]

Cheetahs population will be more affected by genetic drift

<h3>What is genetic drift?</h3>

Genetic drift is the change in a population's frequency of an existing gene variant brought on by chance. Gene variations may totally vanish due to genetic drift, hence reducing genetic variation. Additionally, it may lead to the considerably greater frequency and even fixation of previously rare alleles.

<h3>What causes genetic drift?</h3>

Random drift is a result of recurrently small populations, drastic population reductions known as "bottlenecks," and founder events in which a new population is created from a small number of individuals.

To know more about Genetic Drift visit:

brainly.com/question/17483792

#SPJ4

3 0
2 years ago
2x+5= -25 and -3m-6= 40 <br><br> What is the product of x and m?
ivanzaharov [21]

Answer:

Step-by-step explanation:

2x+5= -25 .........(1)

and -3m-6= 40........(2)

Considering (1): 2x+5= -25

2x = -25 - 5

2x = -30

x = -30/2

x = -15

Considering (2): -3m-6= 40

-3m = 40 + 6

-3m = 46

m = -46/3

Product of x and m = (-15) × (-46/3)

= -5 × -46

= 230

4 0
3 years ago
(URGENT) Gertrude and Russell are traveling on their motor scooters in the same direction along the same road. Gertrude is trave
Arlecino [84]

Answer:

It will take <em>0.75 hours </em>to Russell catch Gertrude

Step-by-step explanation:

<u>Cinematics</u>

The equations of cinematics include velocity, displacement and time. In case only the magnitudes are important, we can use the concepts of speed and distance. The speed can be thought in relative terms, i.e. if one body moves at 10 m/s and other moves at 8 m/s, we can say the relative speed is 2 m/s.

The equation who relates those magnitudes is

x=vt

The problem states Gertrude travels at 10 mph and is 3 miles ahead of Russell who travels at 14 mph. We want to know the time when Russell will catch Gertrude. Since Russell goes faster than Gertrude, he eventually catches her. In a time t, he must travel 3 miles more than her. Since the relative speed of them is 14-10= 4 mph, we can know the time it takes to the encounter to produce

\displaystyle t=\frac{x}{v}

\displaystyle t=\frac{3}{4}=0.75\ hours

Answer: It will take 0.75 hours to Russell catch Gertrude

4 0
3 years ago
Which of the following equations best represents the relationship in the table?
vazorg [7]

Answer: A  y= -4x + 2

Step-by-step explanation:

y= mx + b

when x is 0, y is 2 which you make the y intercept (b) 2

going from x=0 to x=1, the y coordinate moves down 4, so the slope would be -4

:)

5 0
3 years ago
Other questions:
  • Drag steps in the given order to evaluate this expression. (−5)(−4)−6−4(6)
    5·1 answer
  • I WILL GIVE BRAINLIEST AND 5 STARS TO CORRECT ANSWER AND IF YOU SHOW YOUR WORK
    5·2 answers
  • Convert the fraction to higher terms. Enter the value of the missing numerator. 3/11= /77?
    14·2 answers
  • The area of a circle is 96 square inches. What is the area of a circle whose diameter is 1.5 times the diameter of the circle?
    9·1 answer
  • 450 yards in 15 minutes?
    14·2 answers
  • Interior and Exterior Angle polygons. I need help to find the measure of a regular decagon. To find each interior angle and to f
    12·1 answer
  • What type of star has an absolute brightness of 5 and a surface temperature around 3,000 °C?
    14·2 answers
  • Please help with this <br> 15w=4.5
    15·1 answer
  • What is the exponent when you convert 71,100,000 into scientific notation?
    12·1 answer
  • I kinda need help again..
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!