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Thepotemich [5.8K]
2 years ago
8

|3y-1|>5 Solve the absolute value inequalities by making a compound inequality

Mathematics
1 answer:
Fantom [35]2 years ago
7 0

Hi there!

We can begin by solving the inequality using the positive and negative terms:

3y - 1 > 5

Add 1 to both sides:

3y > 6

Divide both sides by 3:

y > 2

Now, solve the negative:

-(3y - 1) > 5

Distribute the -1:

-3y + 1 > 5

Subtract 1 from both sides:

-3y > 4

Divide both sides by -3. REMEMBER to flip the sign.

y < -4/3

'y' has to be LESS than -4/3 and greater than 2, so:

y < -4/3, y > 2

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Tickets to the concert were 2.50 for adults and 1.00 for students. 1,200 was collected and 750 tickets were sold.
Minchanka [31]

Answer:

I'm assuming you want to know the amount of child and adult tickets sold. 450 student tickets were sol, and 300 adult tickets.

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

3 0
3 years ago
Write an expression that is equivalent to three over four(5z + 16).
klio [65]
Your answer is B. Using the distributive property, 3/4 • 5z equals 15/4z, which can't be simplified. Then 3/4 of 16 is 12. If you divide 16 by 4 (the denominator) and then multiply by 3 (the numerator) that yields your answer.
8 0
3 years ago
The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with
NISA [10]

Answer:

a) 0.125

b) 7

c) 0.875 hr

d) 1 hr

e) 0.875

Step-by-step explanation:l

Given:

Arrival rate, λ = 7

Service rate, μ = 8

a) probability that no requests for assistance are in the system (system is idle).

Let's first find p.

a) ρ = λ/μ

\frac{7}{8} = 0.875

Probability that the system is idle =

1 - p

= 1 - 0.875

=0.125

probability that no requests for assistance are in the system is 0.125

b) average number of requests that will be waiting for service will be given as:

λ/(μ - λ)

= \frac{7}{8 - 7}

= 7

(c) Average time in minutes before service

= λ/[μ(μ - λ)]

= \frac{7}{8(8 - 7)}

= 0.875 hour

(d) average time at the reference desk in minutes.

Average time in the system js given as: 1/(μ - λ)

= \frac{1}{(8 - 7)}

= 1 hour

(e) Probability that a new arrival has to wait for service will be:

λ/μ =

{7}{8}

= 0.875

5 0
3 years ago
I need help with those two questions
const2013 [10]
Number 15 is c and number 16 is a
5 0
3 years ago
Read 2 more answers
What is the solution of the equation ×-3=1/3×+5?
murzikaleks [220]
The Answer Is 14/15 Hope This Helps.
3 0
3 years ago
Read 2 more answers
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