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shepuryov [24]
2 years ago
7

Simplify each expression 2x-5y. If x=2/3 and y=1/4

Mathematics
2 answers:
Anon25 [30]2 years ago
7 0

Answer:

\frac{1}{12}

Step-by-step explanation:

2x-5y=\\\\2(\frac{2}{3})-5(\frac{1}{4})=\\\\\frac{4}{3}-\frac{5}{4}=\\\\\frac{16}{12}-\frac{15}{12}=\\\\\frac{1}{12}

Hatshy [7]2 years ago
4 0

Answer:

1/2

Step-by-step explanation:

2x - 5y

2(2/3) - 5(1/4)

(2/1 x 2/3) - (5/1 x 1/4)

(4/3) - (5/4)

(4/3 x 4/4) - (5/4 x 3/3)

16/12 - 15/12

1/12

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Problem 5

<h3>Answer:   6i</h3>

------------------

Explanation:

We have these four identities

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We can think of it like this if you wanted

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=============================================

Problem 6

<h3>Answer:  -3i</h3>

------------------

Explanation:

We'll use the ideas mentioned in problem 5

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sqrt(-9) = 3i

The two outside negative signs cancel out, but there's still a negative from -1 we found earlier. So we end up with -3i

In other words, here is one way you could write out the steps

-i^{46}*-\sqrt{-9}\\\\-i^{2}*-3i\\\\i^{2}*3i\\\\-1*3i\\\\-3i\\\\

=============================================

Problem 7

<h3>Answer:   -1</h3>

------------------

Work Shown:

i^10 = i^2 because 10/4 = 2 remainder 2

i^19 = i^3 because 19/4 = 4 remainder 3

i^7 = i^3 because 7/4 = 1 remainder 3

Again, all we care about are the remainders.

i^{10}+i^{19} - i^{7}\\\\i^{2}+i^{3} - i^{3}\\\\i^{2}\\\\-1

=============================================

Problem 8

<h3>Answer:    -1 + i</h3>

------------------

Work Shown:

i^22*i^6 = i^(22+6) = i^28

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riadik2000 [5.3K]

Answers:

Domain is  0 \le d \le 100

Range is  0 \le F(d) \le 150

==============================================

Explanation:

The most money made from selling drinks is $150. Divide this over the cost per drink to get 150/(1.50) = 100; indicating that at most 100 drinks are sold per day. This is the largest that d can get because d represents the number of drinks sold.

The smallest d can get is d = 0 to mean that no drinks are sold.

In short: d is between 0 and 100, including both endpoints. We write 0 \le d \le 100 to indicate this. This is the domain because the domain represents all the possible inputs allowed.

---------------------------------------------------

The range is the set of allowed outputs.

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On the other side of things, the largest item in the range is 150 because this value was given to us. It's the upper limit or ceiling value of how much money is made from drinks. You can also find this by plugging d = 100, the largest domain value, into the function to get F(d) = 150.

Therefore the range is 0 \le F(d) \le 150 to indicate that F(d) is between 0 and 150 inclusive of both endpoints.

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