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4 years ago

Which set of ordered pairs represents y as a function of x?

Mathematics

1 answer:

liq [111]4 years ago

4 0

Answer:

{(2,-1), (4, -2), (6, -3), (8, -4)}

Step-by-step explanation:

The other ordered pairs have a common domain value which means they are not a function.

For example:

{(5,7), (5,8), (10,3)} would not be a function because the 5 is repeating

However

{(2,6), (4,6), (22,7)} would be function because there are no numbers in the x part of the ordered pair that repeat. (x,y)

I hope you can see the pattern now

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△STU is an equalateral triangle, if ST is one less than twice x, SU Is 37 less than 5 times x, and TU is 11 more than x, find x

miskamm [114]

Answer:

x = 12, sides = 23

Step-by-step explanation:

$\overline{ST}=2x-1\\\overline{SU}=5x-37\\\overline{TU}=x+11$

Since $\triangle{STU}$ is equilateral, all three sides are equal. Therefore:

$\left[\begin{array}{l}y=2x-1\\y=5x-37\\y=x+11\end{array}\right]$

Substituting y = x + 11:

$\left[\begin{array}{l}x+11=2x-1\\x+11=5x-37\end{array}\right]$

Solving for x:

$x+11=2x-1\\11=x-1\\12=x$

Substituting x = 12:

$y=x+11\\y=12+11\\y=23$

Thus, <em>x</em> = 12 and the length of each side is 23.

4 0

4 years ago

WENDY IS GIVING AWAY MONEY TO EVERYONE AT HER BIRTHDAY PARTY. FOR EACH CONSONANT IN A NAME SHE GIVES OUT 1.30. FOR EACH VOWEL SH

VARVARA [1.3K]

Answer:

Emma should get $14.60, while Jessica should get $23.20 dollars

Step-by-step explanation:

Step 1:

Start with Emma. Emma has two vowels "E' and "A", so 6x2= 12.

Next, for the consonants, the name Emma has two "M"s, so 1.3x2=2.6. Then add 12 and 2.6 for $14.6, or $14.60.

Step 2:

Use Jessica

The name Jessica has 4 consonants, 2 being "S", one being "J", and one being "C", so 1.3x4=5.2. Next, the name Jessica has 3 vowels, so 6x3=18, then add 5.2 to 18 to get 23.2, or $23.20.

Thus, Emma should get $14.60 dollars, and Jessica should get $23.20 dollars

8 0

2 years ago

Which of the following represents the general equation for the geometric sequence? -1, -2, -4, ... an = 1 · 2n - 1 an = -2n - 1

larisa [96]

-1,-2,-4

an = a1 * r^(n - 1)
a1 = first term = -1
r = common ratio = 2

so the equation would be : an = -1 * 2^(n - 1)

7 0

3 years ago

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-X2 - x + 42

Advocard [28]

Answer:

c frign ritard

Step-by-step explanation:

3 0

3 years ago

What is the radius and diameter of the following circle?<br> 16 cm

denis23 [38]

Answer:

radius is 16

diameter is 32

Step-by-step explanation:

Your radius is the line starting from the point in the middle to any part of the edge of the circle. A diameter is when there is a long straight line from both ends reaching the edges of the circle crossing the point.

A diameter is just the radius doubled but except it all has to be straight coming reaching both edges.

A radius is half of a diameter.

7 0

3 years ago

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