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wel
3 years ago
12

Graph the following line Y=4/3x - 5

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Step-by-step explanation:

Graph the following line

Y=4/3x - 5 nankzuhbwbnsnkzkjsjsndnhxhxhhxjdksiahhavbwnwjejejjsj

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The output is the cube of the input
Vitek1552 [10]
You need a function that maps a number to its cube.
y = x^3
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4 years ago
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There are 30 tickets numbered as 1, 2, 3, 4, 30 respectively. One random. What is the probability that the number on the ticket
Anna007 [38]

Answer:

  • 2/3 or 66.66%

Step-by-step explanation:

Out of 30 numbers, half is multiple of 2 and the third is multiple of 3.

We have 15 even numbers and 10 multiples of 3. Out of 10, half is even numbers and  therefore counted twice.

<u>So we subtract 5 to get:</u>

  • 15 + 10 - 5 = 20 numbers

<u>If we chose one ticket at random the probability is:</u>

  • P(2x or 3x) = 20/30 = 2/3 or 66.66%
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3 years ago
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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

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

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

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morpeh [17]
I believe so! The number of texts sent or received by boys is proportional to the number of texts sent or received by girls! Have a nice day!
5 0
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How can you tell if three positive numbers form a<br> Pythagorean triple?
Sedaia [141]

Answer:

Since a Pythagorean triple is three positive integers a, b, and c such that (a^2)+(b^2)=(c^2), where a and b are the two legs, and c is the hypotenuse, first take the sum of the squares of the two legs and make an estimate. For example, 3, 4, and 5 is a Pythagorean triple since 9+16=25.

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