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Zina [86]
2 years ago
12

Which are correct representations of the inequality 6x2 3 + 4(2x - 1)? Select three options.

Mathematics
1 answer:
olga2289 [7]2 years ago
5 0

Answer:

Option A, B, and C.

Step-by-step explanation:

Given, 6x ≥ 3 + 4(2x - 1),

Solve to find the correct representations given in the options.

6x ≥ 3 + 4(2x - 1)

Apply distributive property

6x ≥ 3 + 8x - 4 (option B is correct) ✅

Add like terms

6x ≥ -1 + 8x

Add 1 to both sides

6x + 1 ≥ 8x

Subtract 6x from each side

1 ≥ 8x - 6x

1 ≥ 2x (option A is correct) ✅

Divide both sides by 2

1/2 ≥ 2x/2

½ ≥ x

½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.

This make option C correct.✅

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Please help me I need to get this right asap
lbvjy [14]

Answer:

B

Step-by-step explanation:

8 0
2 years ago
Describe appropriate domain and range for the function (blood alcohol con tent, reflex time)for a single person
stealth61 [152]

Answer:

If we have a function f(x) = y.

the set of possible values of x is called the domain

the set of possible values of y is called the range.

In this case, we have:

Blood alcohol content vs Reflex time,

The possible values of alcohol in blood content depend on the particular person, but we can have a minimum of 0.0 (no alcohol in blood) and a maximum of .51 (for a 90 lb person) because at this range the person enters the risk of death.

So the domain is: D = [0.0, 0.51]

But, we actually can have higher values of alcohol in blood, so we actually can use a domain:

D = [0.0, 1.0]

For the range, we need to see at the possible values of the reflex time.

And we know that the human reflex time is in between 100ms and 500ms

So our range can be:

R = [100ms, 500ms]

7 0
3 years ago
A pool charges $4 each visit or you can buy a membership. Right and solve an inequality to find how many times a person should u
svet-max [94.6K]

<em><u>The inequality is:</u></em>

n > \frac{m}{4}

Membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership amount

<em><u>Solution:</u></em>

Given that,

A pool charges $4 each visit or you can buy a membership

Let "n" be the number of times you visit the pool

Let the membership amount of the pool be "m"

A pool charges $4 each visit

Therefore, cost for "n" visit is: $ 4n

<em><u>The inequality showing that a membership is less expensive than paying each visit to the pool is:</u></em>

4n > m

Divide both sides by "4"

n > \frac{m}{4}

Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership amount

6 0
3 years ago
Fifteen cards numbered 1-15 are placed in a hat. What is the probability that the card has a multiple of 3 on it, given that the
Ivan
1-15 has only 1,3,5,7,9,11,13,15 as odd number therefore a total of 8 odd numbers within 1-15 so that would be 8/15 probability of it being an odd number (I’m not too sure of this sorry)
4 0
2 years ago
Write the sum or difference in the standard form a + bi.( 3 + 3i) - ( -6 + i)
fiasKO [112]
The answer is 9+2i 

i hope it does help you
7 0
3 years ago
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