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3 years ago

Determine if the following relations represent y as a function of x.

Mathematics

1 answer:

lana [24]3 years ago

5 0

<h3>Answers:</h3>

A) No, it is not a function
B) Yes it's a function
C) Not a function
D) Yes it's a function
E) Yes it's a function

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Explanation:

If y has an exponent of 2, 4, 6, etc (basically any even number) then it leads to having inputs with multiple outputs.

Consider something like y^2 = x. If x = 100, then y = 10 or y = -10 are possible. A function can only have exactly one y output for any valid x input. Similar issues happen for things like y^4 = x and so on. So this is why A and C are not functions.

The other equations do not have y values with such exponents, so we can solve for y and have each x input lead to exactly one y output. Therefore, they are functions.

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H(x)={(-7,-1),(0,0),(5,8)} domain and range

Bingel [31]

Answer:

The domain is -7, 0, and 5

The range is -1, 0, and 8

Step-by-step explanation:

The domain of a set of points is the x-value. In this case the x-values are -7, 0, and 5 respectively. The range of a set of points is the y-value so in this case the range is -1, 0, and 8.

7 0

3 years ago

The heights of male students are normally distributed with a mean of 160 cm and a standard deviation

kompoz [17]

Answer:

2.28%

Step-by-step explanation:

As this is normally distributed, we can use z scores to find the percentage.

First, find the z-score for 148.

The z-score that you get is:

(148-160)/2=2

As we see that z=2, we can use a calculator or a z-score chart to find the percentage less than a z score of 2.

I used my chart and found: 2.28%

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3 years ago

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What does the " commutative property" help us solve this equation: 6 + p = - 3<br><br> HELPPPP MEEEE

aliina [53]

change the 6 ito - 6 by turning to left side then you will have -3 -6 now you can add them (- + -) is + so you can add them the sign of 6 is greater so the answer is -9

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3 years ago

Read 2 more answers

Please help me! Thank you! (x^2 + 2x -3)(4x^2 - 5x + 6)

gavmur [86]

Combine the like terms.
4x^4+3x^3-16x^2+27x-18

5 0

3 years ago

One sign lights up every 10 seconds. One sign lights up every 12 seconds. If they have just lit up at the same time, how many se

andrew11 [14]

Answer:

It will take 60 seconds for the signs to light up at the same time again.

Step-by-step explanation:

Given:

One sign lights up every 10 seconds

One sign lights up every 12 seconds

They have just lit up at the same time.

To find in how many seconds will it take for the signs to light up at the same time again.

Solution:

In order to find the time in seconds will it take for the signs to light up at the same time again, we need to find the least common multiple of the the times for which the given signs light up.

The numbers are 10 and 12.

To find the LCM, we will list the multiples of each and check the least common multiple.

The multiples of 10 and 12 are :

$10\rightarrow 10,20,30,40,50,60,70$

$12\rightarrow 12,24,36,48,60$

thus, we can see that 60 is the least common multiple.

Thus, the signs will light up at the same time time after every 60 seconds.

7 0

3 years ago