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
iren [92.7K]
3 years ago
10

Solve the compound inequality,

Mathematics
1 answer:
Feliz [49]3 years ago
7 0

Answer:

\large\boxed{y\in(-6,\ \infty)}

Step-by-step explanation:

(1)\\2y-2>-14\qquad\text{add 2 to both sides}\\\\2y-2+2>-14+2\\\\2y>-12\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}>\dfrac{-12}{2}\\\\y>-6

(2)\\\\4y-4\geq12\qquad\text{add 4 to both sides}\\\\4y-4+4\geq12+4\\\\4y\geq16\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}\geq\dfrac{16}{4}\\\\y\geq4

\text{From (1) and (2) we have:}\\\\y>-6\ or\ y\geq4\to y\in(-6,\ \infty)\ \cup\ [4,\ \infty)\Rightarrow y\in(-6,\ \infty)

You might be interested in
A line intersects the point (-11, 4) and has
alekssr [168]

Answer: Point slope form is y-y1=m(x-x1)

Step-by-step explanation:

Here y1=4

x1=-11

m i.e slope=-2

And there you go.

5 0
3 years ago
Y=-2-4x slope intercept form
Alinara [238K]
Y=-2+-4x m=slope b=y-intercept
m=-4
b=-2
3 0
2 years ago
Simplify: 6-/18 - 3450​
MaRussiya [10]

Answer:

-10351/3

Step-by-step explanation:

5 0
3 years ago
34 petri dishes are prepared with a growth medium. 16 are randomly selected and treated with antibiotic A. The other 18 are trea
harina [27]

Answer:

(a) According to the central limit theorem, the distributions of the sample means of sufficiently large samples randomly selected from a population with mean, μ and standard deviation, σ with replacement will be normally distributed

Therefore, given that the size of the population from which the samples were selected (34 petri dishes) is comparable the sizes of the samples, (16 and 18), therefore, the samples are approximately normal

Also given that the petri dishes were prepared with growth medium designed to increase the growth of microorganisms, with an expected amount of growth, the samples therefore came from approximately normal distributions

Step-by-step explanation:

8 0
2 years ago
Fwam answered 142 questions correctly on his multiple choice science final that had
Ipatiy [6.2K]

Answer:

71%

Step-by-step explanation:

Percentage Chart

X is what percent of 200?142 is71% of 200143.26 is71.63% of 200144.64 is72.32% of 200146.02 is73.01% of 200

8 0
2 years ago
Other questions:
  • Perform the necessary operations -9-(-6)+(-4)=
    7·1 answer
  • What is the square root of ab2? <br> ab <br> b sq. rt. a<br> a2b2 <br> b2
    5·2 answers
  • A house was bought 20 years ago for $160,00. Due to inflation, its value had increased by 5% each year.
    14·1 answer
  • Help please!!!!!!!!​
    8·2 answers
  • Annabel is comparing the distances that two electric cars can travelafter the battery is fully charged
    8·1 answer
  • Write an equation in point slope form for the line through the given point with the given slope (4,-6); m=3/5
    11·2 answers
  • What percentage of his monthly budget does tyrone spend on car expenses
    7·1 answer
  • Y= x+14 , x+ 2y= 36, find x and y and show solution pls
    7·2 answers
  • Need help on number 25!
    15·1 answer
  • In the above figure, p∥q. Find the missing angle measures.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!