1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
denis-greek [22]
2 years ago
8

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

Mathematics
2 answers:
Yakvenalex [24]2 years ago
8 0

Answer with Explanation:

To qualify as a function, each x value may not have more than 1 Y value.

This rules out A, B, and D.

<u><em>The answer is C.</em></u>

<u><em /></u>

Why is A incorrect? -5 (the x value) has more than one y value so it is wrong.

Why is B incorrect? 9 (the x value) has more than one y value so it is wrong.

Why is D incorrect? -7 (the x value) has more than one y value so it is wrong.

You can also use the vertical line test to graph these pairs. Then, test by drawing a vertical line through the graph. If the vertical line goes through more than 1 pair, it is not a function.

FinnZ [79.3K]2 years ago
5 0

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

You might be interested in
2- 1/2n=3n+16<br><br> I need you to solve the whole equation step by step
Alex Ar [27]

Answer:

n = -4

Step-by-step explanation:

2 - 1/2 n = 3n + 16

Combine the constants by subtracting 2 from both sides.

-1/2n = 3n + 14

Combine the variable by subtracting 3n from both sides.

-7/2n = 14

Multiply both sides by 2 to simplify the fraction.

-7n = 28

Isolate n by dividing by -7 on both sides.

n = -4

Check.

2 - 1/2(-4) = 3(-4) + 16

2 + 2 = -12 + 16

4 = 4

Your answer is correct.

3 0
2 years ago
Read 2 more answers
The minute hand of a clock is 1.4 centimeters long. How far does the tip of the minute hand travel in 40 minutes? (Round your an
ozzi

Answer:

2.93cm

Step-by-step explanation:

I have to admit, this stumped me but I got o work and here's what I have for you. Hope this helps. TIP: remember it is the minute hand not any other hand.

For this one you will have to find the circumference of the clock because as the min hand goes round and round, it will act as a <u>radius</u> and it will go in a <u>circular</u> motion.  

Formula will be π<u>2r</u>= 3.l4 * 2 * 1.4cm=8.792cm per every<u> one</u> revolution of the minute hand. Remembering that for the minute hand to revolve round the clock it has to cover 1 hr = 60min. For you to get the total circumference,

you'll have to take 8.792cm but since it is  per every <u>one</u> revolution of the minute hand, multiply it by 40/60min. <u><em>The answer will be 2.93066cm </em></u><u><em>before rounding off</em></u>. After rounding off you will have <u>2.93cm</u>. Quite lengthy but I assure you after practicing you'll have at your fingertips.  

3 0
2 years ago
the probability density for a particle in a box is an oscillatory function even for very large energies. Explain how the classic
77julia77 [94]

Answer:

This is achieved for the specific case when high quantum number with low resolution is present.

Step-by-step explanation:

In Quantum Mechanics, the probability density defines the region in which the  likelihood of finding the particle is most.

Now for the particle in the box, the probability density is also dependent on resolution as well so for large quantum number with small resolution, the oscillations will be densely packed and thus indicating in the formation of a constant probability density throughout similar to that of classical approach.

8 0
3 years ago
What are the values for y when x is 1, 3, and 5?<br> y = 3x + 10
Ivan
When x=1 y=13 when x=3 y=19 and when x=5 y=25 you just plug the numbers in for x and solve
5 0
2 years ago
Read 2 more answers
If ten boys T-pose in the bathroom and X of them leave then 2 come back how many boys are in the bathroom now
oksano4ka [1.4K]

Answer:

360 no-scope

Step-by-step explanation:

gamer juice

4 0
2 years ago
Other questions:
  • The average weight of the largest bone in the inner ear is approximately 0.000109 ounces.drag the tiles to show 0.000109 in scie
    9·1 answer
  • (please zoom / zoom out if needed to see question. (: ) (Worth 10 Points Each)
    12·2 answers
  • What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?
    6·2 answers
  • The school orchestra is creating a CD of their last concert. The total cost is $550 + 3.50 per CD. Write an expression for the c
    9·1 answer
  • What is the ratio 1.12 turned in to a fraction in simplest form?
    5·1 answer
  • Kara swims almost twice as fast as Beth, and Natalie swims about the same speed as Beth. If Jenn swims faster than Kara, then wh
    8·1 answer
  • Triangle ABC ~ triangle DEF and the similarity ratio of triangle ABC to triangle DEF is 43 . If AB = 60, what is DE?
    5·2 answers
  • PLZ HALP IMMA CRY IF U DONT TwT NO BOTS I SWEAR NO LINKS ITHER
    8·2 answers
  • Grandma's Recipe for Sugar Cookies
    11·1 answer
  • The following playing cards are used in a game. What is the probability of not selecting a prime number?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!